GCD of 675, 714, 977, 120 Calculator

Given Input numbers are 675, 714, 977, 120

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

GCD of numbers is the greatest common divisor

So, the GCD (675, 714, 977, 120) = 1.

Given numbers are 675, 714, 977, 120

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 977 are 977

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 675, 714, 977, 120

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

Apply this formula for all numbers.

Step1:

LCM(675, 714) = 160650

GCD(675, 714) = ( 675 x 714 ) / 160650

= 675 / 714

= 675

Step2:

LCM(3, 977) = 2931

GCD(3, 977) = ( 3 x 977 ) / 2931

= 3 / 977

= 3

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 675, 714, 977, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 314, 136, 735
• GCD of 371, 909, 815, 875
• GCD of 615, 170, 541, 873
• GCD of 674, 692, 554, 668
• GCD of 684, 746, 152, 382

Given numbers are 675, 714, 977, 120
The greatest common divisor of numbers 675, 714, 977, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 714, 977, 120 is 1.

1. What is the GCD of 675, 714, 977, 120?

GCD of given numbers 675, 714, 977, 120 is 1

2. How to calculate the greatest common divisor of 675, 714, 977, 120?

We can find the highest common divisor of 675, 714, 977, 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 675, 714, 977, 120 i.e 1.

3. How can I use the GCD of 675, 714, 977, 120Calculator?

Out the numbers 675, 714, 977, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.