GCD of 826, 560, 474, 428 Calculator

Given Input numbers are 826, 560, 474, 428

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

Divisors of 826 :

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

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (826, 560, 474, 428) = 2.

Given numbers are 826, 560, 474, 428

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 474 are 2 x 3 x 79

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 826, 560, 474, 428 is 2.

Given numbers are 826, 560, 474, 428

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

Apply this formula for all numbers.

Step1:

LCM(826, 560) = 33040

GCD(826, 560) = ( 826 x 560 ) / 33040

= 826 / 560

= 826

Step2:

LCM(14, 474) = 3318

GCD(14, 474) = ( 14 x 474 ) / 3318

= 14 / 474

= 14

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 826, 560, 474, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 386, 744, 387
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• GCD of 105, 690, 647, 983
• GCD of 202, 995, 441, 307

Given numbers are 826, 560, 474, 428
The greatest common divisor of numbers 826, 560, 474, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 560, 474, 428 is 2.

1. What is the GCD of 826, 560, 474, 428?

GCD of given numbers 826, 560, 474, 428 is 2

2. How to calculate the greatest common divisor of 826, 560, 474, 428?

We can find the highest common divisor of 826, 560, 474, 428 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 826, 560, 474, 428 i.e 2.

3. How can I use the GCD of 826, 560, 474, 428Calculator?

Out the numbers 826, 560, 474, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.