GCD of 771, 977, 120, 112 Calculator

Given Input numbers are 771, 977, 120, 112

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

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

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 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (771, 977, 120, 112) = 1.

Given numbers are 771, 977, 120, 112

The list of prime factors of all numbers are

Prime factors of 771 are 3 x 257

Prime factors of 977 are 977

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

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

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

Given numbers are 771, 977, 120, 112

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

Apply this formula for all numbers.

Step1:

LCM(771, 977) = 753267

GCD(771, 977) = ( 771 x 977 ) / 753267

= 771 / 977

= 771

Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 771, 977, 120, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 386, 608, 468
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Given numbers are 771, 977, 120, 112
The greatest common divisor of numbers 771, 977, 120, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 977, 120, 112 is 1.

1. What is the GCD of 771, 977, 120, 112?

GCD of given numbers 771, 977, 120, 112 is 1

2. How to calculate the greatest common divisor of 771, 977, 120, 112?

We can find the highest common divisor of 771, 977, 120, 112 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 771, 977, 120, 112 i.e 1.

3. How can I use the GCD of 771, 977, 120, 112Calculator?

Out the numbers 771, 977, 120, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.