GCF of 994 and 343

What is the GCF of 994 and 343?


GCF of 994 and 343

is 7

Formula How to

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What is the Greatest Common Factor of 994 and 343? 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 994 and 343 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 994.
    2, 7, 71
  2. Find the prime factors of the second number 343.
    7, 7, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    7

Factors Method:

  1. Find the factors of the first number 994.
    1, 2, 7, 14, 71, 142, 497, 994
  2. Find the factors of the second number 343.
    1, 7, 49, 343
  3. The biggest common factor number is the GCF value. Which is,
    7

GCF (Greatest Common Factor) of 994 and 343 is 7.

GCD (Greatest Common Divisor) of 994 and 343 is 7.

HCF (Highest Common Factor) of 994 and 343 is 7.

Number GCF LCM
994 & 338 2 167986
994 & 339 1 336966
994 & 340 2 168980
994 & 341 1 338954
994 & 342 2 169974
994 & 343 7 48706
994 & 344 2 170968
994 & 345 1 342930
994 & 346 2 171962
994 & 347 1 344918
994 & 348 2 172956