GCD of 977, 775, 676, 828 Calculator

Given Input numbers are 977, 775, 676, 828

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 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (977, 775, 676, 828) = 1.

Given numbers are 977, 775, 676, 828

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 775 are 5 x 5 x 31

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 977, 775, 676, 828

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

Apply this formula for all numbers.

Step1:

LCM(977, 775) = 757175

GCD(977, 775) = ( 977 x 775 ) / 757175

= 977 / 775

= 977

Step2:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 977, 775, 676, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 923, 995, 969
• GCD of 172, 954, 414, 452
• GCD of 370, 230, 333, 998
• GCD of 827, 140, 116, 218
• GCD of 549, 838, 624, 130

Given numbers are 977, 775, 676, 828
The greatest common divisor of numbers 977, 775, 676, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 775, 676, 828 is 1.

1. What is the GCD of 977, 775, 676, 828?

GCD of given numbers 977, 775, 676, 828 is 1

2. How to calculate the greatest common divisor of 977, 775, 676, 828?

We can find the highest common divisor of 977, 775, 676, 828 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, 775, 676, 828 i.e 1.

3. How can I use the GCD of 977, 775, 676, 828Calculator?

Out the numbers 977, 775, 676, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.