GCD of 977, 788, 900, 735 Calculator

Given Input numbers are 977, 788, 900, 735

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

Divisors of 977 :

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

1, 977

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (977, 788, 900, 735) = 1.

Given numbers are 977, 788, 900, 735

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 788 are 2 x 2 x 197

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 735 are 3 x 5 x 7 x 7

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

Given numbers are 977, 788, 900, 735

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

Apply this formula for all numbers.

Step1:

LCM(977, 788) = 769876

GCD(977, 788) = ( 977 x 788 ) / 769876

= 977 / 788

= 977

Step2:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

So, Greatest Common Divisor of 977, 788, 900, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 809, 266, 411
• GCD of 104, 902, 584, 702
• GCD of 206, 705, 334, 809
• GCD of 912, 408, 103, 624
• GCD of 633, 478, 453, 872

Given numbers are 977, 788, 900, 735
The greatest common divisor of numbers 977, 788, 900, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 788, 900, 735 is 1.

1. What is the GCD of 977, 788, 900, 735?

GCD of given numbers 977, 788, 900, 735 is 1

2. How to calculate the greatest common divisor of 977, 788, 900, 735?

We can find the highest common divisor of 977, 788, 900, 735 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 977, 788, 900, 735 i.e 1.

3. How can I use the GCD of 977, 788, 900, 735Calculator?

Out the numbers 977, 788, 900, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.