GCD of 976, 100, 884, 560 Calculator

Given Input numbers are 976, 100, 884, 560

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

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (976, 100, 884, 560) = 4.

Given numbers are 976, 100, 884, 560

The list of prime factors of all numbers are

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

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2²

Therefore, GCD of 976, 100, 884, 560 is 4.

Given numbers are 976, 100, 884, 560

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

Apply this formula for all numbers.

Step1:

LCM(976, 100) = 24400

GCD(976, 100) = ( 976 x 100 ) / 24400

= 976 / 100

= 976

Step2:

LCM(4, 884) = 884

GCD(4, 884) = ( 4 x 884 ) / 884

= 4 / 884

= 4

Step3:

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

= 4 / 560

= 4

So, Greatest Common Divisor of 976, 100, 884, 560 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 790, 242, 854
• GCD of 172, 146, 207, 966
• GCD of 479, 825, 616, 160
• GCD of 165, 959, 213, 590
• GCD of 692, 533, 227, 343

Given numbers are 976, 100, 884, 560
The greatest common divisor of numbers 976, 100, 884, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 100, 884, 560 is 4.

1. What is the GCD of 976, 100, 884, 560?

GCD of given numbers 976, 100, 884, 560 is 4

2. How to calculate the greatest common divisor of 976, 100, 884, 560?

We can find the highest common divisor of 976, 100, 884, 560 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 976, 100, 884, 560 i.e 4.

3. How can I use the GCD of 976, 100, 884, 560Calculator?

Out the numbers 976, 100, 884, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.