GCD of 112, 921, 976, 820 Calculator

Given Input numbers are 112, 921, 976, 820

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (112, 921, 976, 820) = 1.

Given numbers are 112, 921, 976, 820

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 921 are 3 x 307

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

Prime factors of 820 are 2 x 2 x 5 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 112, 921, 976, 820

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

Apply this formula for all numbers.

Step1:

LCM(112, 921) = 103152

GCD(112, 921) = ( 112 x 921 ) / 103152

= 112 / 921

= 112

Step2:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

So, Greatest Common Divisor of 112, 921, 976, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 492, 445, 701
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Given numbers are 112, 921, 976, 820
The greatest common divisor of numbers 112, 921, 976, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 921, 976, 820 is 1.

1. What is the GCD of 112, 921, 976, 820?

GCD of given numbers 112, 921, 976, 820 is 1

2. How to calculate the greatest common divisor of 112, 921, 976, 820?

We can find the highest common divisor of 112, 921, 976, 820 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 112, 921, 976, 820 i.e 1.

3. How can I use the GCD of 112, 921, 976, 820Calculator?

Out the numbers 112, 921, 976, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.