GCD of 424, 868, 748, 676 Calculator

Given Input numbers are 424, 868, 748, 676

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (424, 868, 748, 676) = 4.

Given numbers are 424, 868, 748, 676

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 868 are 2 x 2 x 7 x 31

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

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

The highest common occurrence is 2²

Therefore, GCD of 424, 868, 748, 676 is 4.

Given numbers are 424, 868, 748, 676

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

Apply this formula for all numbers.

Step1:

LCM(424, 868) = 92008

GCD(424, 868) = ( 424 x 868 ) / 92008

= 424 / 868

= 424

Step2:

LCM(4, 748) = 748

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

= 4 / 748

= 4

Step3:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

So, Greatest Common Divisor of 424, 868, 748, 676 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 346, 140, 445
• GCD of 508, 382, 545, 521
• GCD of 998, 242, 564, 640
• GCD of 947, 558, 895, 675
• GCD of 405, 468, 362, 639

Given numbers are 424, 868, 748, 676
The greatest common divisor of numbers 424, 868, 748, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 868, 748, 676 is 4.

1. What is the GCD of 424, 868, 748, 676?

GCD of given numbers 424, 868, 748, 676 is 4

2. How to calculate the greatest common divisor of 424, 868, 748, 676?

We can find the highest common divisor of 424, 868, 748, 676 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 424, 868, 748, 676 i.e 4.

3. How can I use the GCD of 424, 868, 748, 676Calculator?

Out the numbers 424, 868, 748, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.