GCD of 120, 976, 400, 428 Calculator

Given Input numbers are 120, 976, 400, 428

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (120, 976, 400, 428) = 4.

Given numbers are 120, 976, 400, 428

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2²

Therefore, GCD of 120, 976, 400, 428 is 4.

Given numbers are 120, 976, 400, 428

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

Apply this formula for all numbers.

Step1:

LCM(120, 976) = 14640

GCD(120, 976) = ( 120 x 976 ) / 14640

= 120 / 976

= 120

Step2:

LCM(8, 400) = 400

GCD(8, 400) = ( 8 x 400 ) / 400

= 8 / 400

= 8

Step3:

LCM(8, 428) = 856

GCD(8, 428) = ( 8 x 428 ) / 856

= 8 / 428

= 8

So, Greatest Common Divisor of 120, 976, 400, 428 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 429, 759, 990
• GCD of 360, 124, 726, 963
• GCD of 205, 768, 726, 714
• GCD of 624, 346, 357, 688
• GCD of 204, 190, 629, 677

Given numbers are 120, 976, 400, 428
The greatest common divisor of numbers 120, 976, 400, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 976, 400, 428 is 4.

1. What is the GCD of 120, 976, 400, 428?

GCD of given numbers 120, 976, 400, 428 is 4

2. How to calculate the greatest common divisor of 120, 976, 400, 428?

We can find the highest common divisor of 120, 976, 400, 428 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 120, 976, 400, 428 i.e 4.

3. How can I use the GCD of 120, 976, 400, 428Calculator?

Out the numbers 120, 976, 400, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.