GCD of 356, 628, 424 Calculator

Given Input numbers are 356, 628, 424

In the factoring method, we have to find the divisors of all numbers

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (356, 628, 424) = 4.

Given numbers are 356, 628, 424

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 628 are 2 x 2 x 157

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2²

Therefore, GCD of 356, 628, 424 is 4.

Given numbers are 356, 628, 424

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(356, 628) = 55892

GCD(356, 628) = ( 356 x 628 ) / 55892

= 356 / 628

= 356

Step2:

LCM(4, 424) = 424

GCD(4, 424) = ( 4 x 424 ) / 424

= 4 / 424

= 4

So, Greatest Common Divisor of 356, 628, 424 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 643, 467
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Given numbers are 356, 628, 424
The greatest common divisor of numbers 356, 628, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 628, 424 is 4.

1. What is the GCD of 356, 628, 424?

GCD of given numbers 356, 628, 424 is 4

2. How to calculate the greatest common divisor of 356, 628, 424?

We can find the highest common divisor of 356, 628, 424 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 356, 628, 424 i.e 4.

3. How can I use the GCD of 356, 628, 424Calculator?

Out the numbers 356, 628, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.