GCF of 993 and 310

What is the GCF of 993 and 310?


GCF of 993 and 310

is 1

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What is the Greatest Common Factor of 993 and 310? 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 310 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 310.
    2, 5, 31
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 993.
    1, 3, 331, 993
  2. Find the factors of the second number 310.
    1, 2, 5, 10, 31, 62, 155, 310
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
993 & 305 1 302865
993 & 306 3 101286
993 & 307 1 304851
993 & 308 1 305844
993 & 309 3 102279
993 & 310 1 307830
993 & 311 1 308823
993 & 312 3 103272
993 & 313 1 310809
993 & 314 1 311802
993 & 315 3 104265

GCF (Greatest Common Factor) of 993 and 310 is 1.

GCD (Greatest Common Divisor) of 993 and 310 is 1.

HCF (Highest Common Factor) of 993 and 310 is 1.