GCF of 999 and 1374

What is the GCF of 999 and 1374?


GCF of 999 and 1374

is 3

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 999 and 1374? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 999 and 1374 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 999.
    3, 3, 3, 37
  2. Find the prime factors of the second number 1374.
    2, 3, 229
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

Factors Method:

  1. Find the factors of the first number 999.
    1, 3, 9, 27, 37, 111, 333, 999
  2. Find the factors of the second number 1374.
    1, 2, 3, 6, 229, 458, 687, 1374
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 999 and 1374 is 3.

GCD (Greatest Common Divisor) of 999 and 1374 is 3.

HCF (Highest Common Factor) of 999 and 1374 is 3.

Number GCF LCM
999 & 1369 37 36963
999 & 1370 1 1368630
999 & 1371 3 456543
999 & 1372 1 1370628
999 & 1373 1 1371627
999 & 1374 3 457542
999 & 1375 1 1373625
999 & 1376 1 1374624
999 & 1377 27 50949
999 & 1378 1 1376622
999 & 1379 1 1377621