GCD of 120, 662, 728, 977 Calculator

Given Input numbers are 120, 662, 728, 977

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 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 977 :

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

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (120, 662, 728, 977) = 1.

Given numbers are 120, 662, 728, 977

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 662 are 2 x 331

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 977 are 977

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

Given numbers are 120, 662, 728, 977

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

Apply this formula for all numbers.

Step1:

LCM(120, 662) = 39720

GCD(120, 662) = ( 120 x 662 ) / 39720

= 120 / 662

= 120

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

= 2 / 977

= 2

So, Greatest Common Divisor of 120, 662, 728, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 748, 337, 156
• GCD of 916, 266, 478, 461
• GCD of 866, 446, 776, 733
• GCD of 748, 279, 143, 496
• GCD of 930, 149, 412, 668

Given numbers are 120, 662, 728, 977
The greatest common divisor of numbers 120, 662, 728, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 662, 728, 977 is 1.

1. What is the GCD of 120, 662, 728, 977?

GCD of given numbers 120, 662, 728, 977 is 1

2. How to calculate the greatest common divisor of 120, 662, 728, 977?

We can find the highest common divisor of 120, 662, 728, 977 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, 662, 728, 977 i.e 1.

3. How can I use the GCD of 120, 662, 728, 977Calculator?

Out the numbers 120, 662, 728, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.