GCD of 520, 688, 724, 952 Calculator

Given Input numbers are 520, 688, 724, 952

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (520, 688, 724, 952) = 4.

Given numbers are 520, 688, 724, 952

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 724 are 2 x 2 x 181

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 2²

Therefore, GCD of 520, 688, 724, 952 is 4.

Given numbers are 520, 688, 724, 952

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

Apply this formula for all numbers.

Step1:

LCM(520, 688) = 44720

GCD(520, 688) = ( 520 x 688 ) / 44720

= 520 / 688

= 520

Step2:

LCM(8, 724) = 1448

GCD(8, 724) = ( 8 x 724 ) / 1448

= 8 / 724

= 8

Step3:

LCM(4, 952) = 952

GCD(4, 952) = ( 4 x 952 ) / 952

= 4 / 952

= 4

So, Greatest Common Divisor of 520, 688, 724, 952 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 252, 866, 599
• GCD of 275, 513, 768, 104
• GCD of 689, 550, 383, 282
• GCD of 364, 367, 187, 378
• GCD of 559, 881, 797, 999

Given numbers are 520, 688, 724, 952
The greatest common divisor of numbers 520, 688, 724, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 688, 724, 952 is 4.

1. What is the GCD of 520, 688, 724, 952?

GCD of given numbers 520, 688, 724, 952 is 4

2. How to calculate the greatest common divisor of 520, 688, 724, 952?

We can find the highest common divisor of 520, 688, 724, 952 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 520, 688, 724, 952 i.e 4.

3. How can I use the GCD of 520, 688, 724, 952Calculator?

Out the numbers 520, 688, 724, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.