GCF of 77 and 434

What is the GCF of 77 and 434?


GCF of 77 and 434

is 7

Formula How to

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What is the Greatest Common Factor of 77 and 434? 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 77 and 434 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 77.
    7, 11
  2. Find the prime factors of the second number 434.
    2, 7, 31
  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 77.
    1, 7, 11, 77
  2. Find the factors of the second number 434.
    1, 2, 7, 14, 31, 62, 217, 434
  3. The biggest common factor number is the GCF value. Which is,
    7

Number GCF LCM
77 & 429 11 3003
77 & 430 1 33110
77 & 431 1 33187
77 & 432 1 33264
77 & 433 1 33341
77 & 434 7 4774
77 & 435 1 33495
77 & 436 1 33572
77 & 437 1 33649
77 & 438 1 33726
77 & 439 1 33803

GCF (Greatest Common Factor) of 77 and 434 is 7.

GCD (Greatest Common Divisor) of 77 and 434 is 7.

HCF (Highest Common Factor) of 77 and 434 is 7.