GCF of 993 and 663

What is the GCF of 993 and 663?


GCF of 993 and 663

is 3

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What is the Greatest Common Factor of 993 and 663? 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 993 and 663 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 993.
    3, 331
  2. Find the prime factors of the second number 663.
    3, 13, 17
  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 993.
    1, 3, 331, 993
  2. Find the factors of the second number 663.
    1, 3, 13, 17, 39, 51, 221, 663
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 993 and 663 is 3.

GCD (Greatest Common Divisor) of 993 and 663 is 3.

HCF (Highest Common Factor) of 993 and 663 is 3.

Number GCF LCM
993 & 658 1 653394
993 & 659 1 654387
993 & 660 3 218460
993 & 661 1 656373
993 & 662 331 1986
993 & 663 3 219453
993 & 664 1 659352
993 & 665 1 660345
993 & 666 3 220446
993 & 667 1 662331
993 & 668 1 663324