GCD of 869, 977, 914, 120 Calculator

Given Input numbers are 869, 977, 914, 120

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

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

Divisors of 977 :

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

1, 977

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

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

GCD of numbers is the greatest common divisor

So, the GCD (869, 977, 914, 120) = 1.

Given numbers are 869, 977, 914, 120

The list of prime factors of all numbers are

Prime factors of 869 are 11 x 79

Prime factors of 977 are 977

Prime factors of 914 are 2 x 457

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

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

Given numbers are 869, 977, 914, 120

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

Apply this formula for all numbers.

Step1:

LCM(869, 977) = 849013

GCD(869, 977) = ( 869 x 977 ) / 849013

= 869 / 977

= 869

Step2:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 869, 977, 914, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 510, 270, 324
• GCD of 297, 391, 730, 653
• GCD of 394, 943, 567, 755
• GCD of 456, 124, 248, 165
• GCD of 655, 950, 401, 230

Given numbers are 869, 977, 914, 120
The greatest common divisor of numbers 869, 977, 914, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 869, 977, 914, 120 is 1.

1. What is the GCD of 869, 977, 914, 120?

GCD of given numbers 869, 977, 914, 120 is 1

2. How to calculate the greatest common divisor of 869, 977, 914, 120?

We can find the highest common divisor of 869, 977, 914, 120 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 869, 977, 914, 120 i.e 1.

3. How can I use the GCD of 869, 977, 914, 120Calculator?

Out the numbers 869, 977, 914, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.