GCD of 424, 854, 968, 748 Calculator

Given Input numbers are 424, 854, 968, 748

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 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

GCD of numbers is the greatest common divisor

So, the GCD (424, 854, 968, 748) = 2.

Given numbers are 424, 854, 968, 748

The list of prime factors of all numbers are

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

Prime factors of 854 are 2 x 7 x 61

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 424, 854, 968, 748 is 2.

Given numbers are 424, 854, 968, 748

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

Apply this formula for all numbers.

Step1:

LCM(424, 854) = 181048

GCD(424, 854) = ( 424 x 854 ) / 181048

= 424 / 854

= 424

Step2:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 424, 854, 968, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 930, 546, 779
• GCD of 679, 941, 944, 789
• GCD of 717, 766, 884, 788
• GCD of 252, 754, 419, 210
• GCD of 208, 792, 258, 573

Given numbers are 424, 854, 968, 748
The greatest common divisor of numbers 424, 854, 968, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 854, 968, 748 is 2.

1. What is the GCD of 424, 854, 968, 748?

GCD of given numbers 424, 854, 968, 748 is 2

2. How to calculate the greatest common divisor of 424, 854, 968, 748?

We can find the highest common divisor of 424, 854, 968, 748 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, 854, 968, 748 i.e 2.

3. How can I use the GCD of 424, 854, 968, 748Calculator?

Out the numbers 424, 854, 968, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.