GCD of 748, 572, 340, 956 Calculator

Given Input numbers are 748, 572, 340, 956

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

GCD of numbers is the greatest common divisor

So, the GCD (748, 572, 340, 956) = 4.

Given numbers are 748, 572, 340, 956

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 956 are 2 x 2 x 239

The highest common occurrence is 2²

Therefore, GCD of 748, 572, 340, 956 is 4.

Given numbers are 748, 572, 340, 956

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

Apply this formula for all numbers.

Step1:

LCM(748, 572) = 9724

GCD(748, 572) = ( 748 x 572 ) / 9724

= 748 / 572

= 748

Step2:

LCM(44, 340) = 3740

GCD(44, 340) = ( 44 x 340 ) / 3740

= 44 / 340

= 44

Step3:

LCM(4, 956) = 956

GCD(4, 956) = ( 4 x 956 ) / 956

= 4 / 956

= 4

So, Greatest Common Divisor of 748, 572, 340, 956 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 897, 445, 220
• GCD of 523, 428, 194, 889
• GCD of 436, 122, 688, 848
• GCD of 558, 802, 117, 180
• GCD of 584, 123, 234, 468

Given numbers are 748, 572, 340, 956
The greatest common divisor of numbers 748, 572, 340, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 572, 340, 956 is 4.

1. What is the GCD of 748, 572, 340, 956?

GCD of given numbers 748, 572, 340, 956 is 4

2. How to calculate the greatest common divisor of 748, 572, 340, 956?

We can find the highest common divisor of 748, 572, 340, 956 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 748, 572, 340, 956 i.e 4.

3. How can I use the GCD of 748, 572, 340, 956Calculator?

Out the numbers 748, 572, 340, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.