GCD of 708, 676, 724, 562 Calculator

Given Input numbers are 708, 676, 724, 562

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

GCD of numbers is the greatest common divisor

So, the GCD (708, 676, 724, 562) = 2.

Given numbers are 708, 676, 724, 562

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 562 are 2 x 281

The highest common occurrence is 2¹

Therefore, GCD of 708, 676, 724, 562 is 2.

Given numbers are 708, 676, 724, 562

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

Apply this formula for all numbers.

Step1:

LCM(708, 676) = 119652

GCD(708, 676) = ( 708 x 676 ) / 119652

= 708 / 676

= 708

Step2:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

Step3:

LCM(4, 562) = 1124

GCD(4, 562) = ( 4 x 562 ) / 1124

= 4 / 562

= 4

So, Greatest Common Divisor of 708, 676, 724, 562 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 746, 363, 330
• GCD of 668, 722, 347, 592
• GCD of 548, 723, 346, 100
• GCD of 726, 934, 694, 546
• GCD of 130, 469, 890, 574

Given numbers are 708, 676, 724, 562
The greatest common divisor of numbers 708, 676, 724, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 676, 724, 562 is 2.

1. What is the GCD of 708, 676, 724, 562?

GCD of given numbers 708, 676, 724, 562 is 2

2. How to calculate the greatest common divisor of 708, 676, 724, 562?

We can find the highest common divisor of 708, 676, 724, 562 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 708, 676, 724, 562 i.e 2.

3. How can I use the GCD of 708, 676, 724, 562Calculator?

Out the numbers 708, 676, 724, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.