GCD of 676, 282, 962, 560 Calculator

Given Input numbers are 676, 282, 962, 560

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

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

GCD of numbers is the greatest common divisor

So, the GCD (676, 282, 962, 560) = 2.

Given numbers are 676, 282, 962, 560

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 282 are 2 x 3 x 47

Prime factors of 962 are 2 x 13 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 676, 282, 962, 560 is 2.

Given numbers are 676, 282, 962, 560

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

Apply this formula for all numbers.

Step1:

LCM(676, 282) = 95316

GCD(676, 282) = ( 676 x 282 ) / 95316

= 676 / 282

= 676

Step2:

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

= 2 / 962

= 2

Step3:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

So, Greatest Common Divisor of 676, 282, 962, 560 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 286, 625, 128
• GCD of 256, 807, 761, 513
• GCD of 408, 823, 187, 290
• GCD of 653, 386, 349, 170
• GCD of 137, 121, 147, 581

Given numbers are 676, 282, 962, 560
The greatest common divisor of numbers 676, 282, 962, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 282, 962, 560 is 2.

1. What is the GCD of 676, 282, 962, 560?

GCD of given numbers 676, 282, 962, 560 is 2

2. How to calculate the greatest common divisor of 676, 282, 962, 560?

We can find the highest common divisor of 676, 282, 962, 560 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 676, 282, 962, 560 i.e 2.

3. How can I use the GCD of 676, 282, 962, 560Calculator?

Out the numbers 676, 282, 962, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.