GCD of 508, 764, 374, 632 Calculator

Given Input numbers are 508, 764, 374, 632

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (508, 764, 374, 632) = 2.

Given numbers are 508, 764, 374, 632

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 764 are 2 x 2 x 191

Prime factors of 374 are 2 x 11 x 17

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 508, 764, 374, 632 is 2.

Given numbers are 508, 764, 374, 632

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

Apply this formula for all numbers.

Step1:

LCM(508, 764) = 97028

GCD(508, 764) = ( 508 x 764 ) / 97028

= 508 / 764

= 508

Step2:

LCM(4, 374) = 748

GCD(4, 374) = ( 4 x 374 ) / 748

= 4 / 374

= 4

Step3:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2

So, Greatest Common Divisor of 508, 764, 374, 632 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 426, 250, 516
• GCD of 722, 229, 879, 810
• GCD of 645, 683, 746, 715
• GCD of 874, 945, 198, 495
• GCD of 117, 176, 403, 203

Given numbers are 508, 764, 374, 632
The greatest common divisor of numbers 508, 764, 374, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 764, 374, 632 is 2.

1. What is the GCD of 508, 764, 374, 632?

GCD of given numbers 508, 764, 374, 632 is 2

2. How to calculate the greatest common divisor of 508, 764, 374, 632?

We can find the highest common divisor of 508, 764, 374, 632 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, 764, 374, 632 i.e 2.

3. How can I use the GCD of 508, 764, 374, 632Calculator?

Out the numbers 508, 764, 374, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.