GCD of 427, 826, 658, 357 Calculator

Given Input numbers are 427, 826, 658, 357

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (427, 826, 658, 357) = 7.

Given numbers are 427, 826, 658, 357

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 826 are 2 x 7 x 59

Prime factors of 658 are 2 x 7 x 47

Prime factors of 357 are 3 x 7 x 17

The highest common occurrence is 7¹

Therefore, GCD of 427, 826, 658, 357 is 7.

Given numbers are 427, 826, 658, 357

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

Apply this formula for all numbers.

Step1:

LCM(427, 826) = 50386

GCD(427, 826) = ( 427 x 826 ) / 50386

= 427 / 826

= 427

Step2:

LCM(7, 658) = 658

GCD(7, 658) = ( 7 x 658 ) / 658

= 7 / 658

= 7

Step3:

LCM(7, 357) = 357

GCD(7, 357) = ( 7 x 357 ) / 357

= 7 / 357

= 7

So, Greatest Common Divisor of 427, 826, 658, 357 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 568, 497, 134
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• GCD of 863, 913, 969, 837

Given numbers are 427, 826, 658, 357
The greatest common divisor of numbers 427, 826, 658, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 826, 658, 357 is 7.

1. What is the GCD of 427, 826, 658, 357?

GCD of given numbers 427, 826, 658, 357 is 7

2. How to calculate the greatest common divisor of 427, 826, 658, 357?

We can find the highest common divisor of 427, 826, 658, 357 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 427, 826, 658, 357 i.e 7.

3. How can I use the GCD of 427, 826, 658, 357Calculator?

Out the numbers 427, 826, 658, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.