GCD of 508, 749, 920, 870 Calculator

Given Input numbers are 508, 749, 920, 870

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (508, 749, 920, 870) = 1.

Given numbers are 508, 749, 920, 870

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 749 are 7 x 107

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 870 are 2 x 3 x 5 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 508, 749, 920, 870

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

Apply this formula for all numbers.

Step1:

LCM(508, 749) = 380492

GCD(508, 749) = ( 508 x 749 ) / 380492

= 508 / 749

= 508

Step2:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1

So, Greatest Common Divisor of 508, 749, 920, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 277, 577, 120
• GCD of 970, 380, 500, 699
• GCD of 608, 128, 956, 609
• GCD of 837, 399, 327, 708
• GCD of 905, 409, 171, 117

Given numbers are 508, 749, 920, 870
The greatest common divisor of numbers 508, 749, 920, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 749, 920, 870 is 1.

1. What is the GCD of 508, 749, 920, 870?

GCD of given numbers 508, 749, 920, 870 is 1

2. How to calculate the greatest common divisor of 508, 749, 920, 870?

We can find the highest common divisor of 508, 749, 920, 870 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 508, 749, 920, 870 i.e 1.

3. How can I use the GCD of 508, 749, 920, 870Calculator?

Out the numbers 508, 749, 920, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.