GCD of 745, 364, 977, 314 Calculator

Given Input numbers are 745, 364, 977, 314

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

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 977 :

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

1, 977

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (745, 364, 977, 314) = 1.

Given numbers are 745, 364, 977, 314

The list of prime factors of all numbers are

Prime factors of 745 are 5 x 149

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 977 are 977

Prime factors of 314 are 2 x 157

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

Given numbers are 745, 364, 977, 314

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

Apply this formula for all numbers.

Step1:

LCM(745, 364) = 271180

GCD(745, 364) = ( 745 x 364 ) / 271180

= 745 / 364

= 745

Step2:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 745, 364, 977, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 979, 138, 366
• GCD of 712, 609, 444, 740
• GCD of 381, 192, 523, 383
• GCD of 768, 865, 480, 662
• GCD of 157, 325, 665, 113

Given numbers are 745, 364, 977, 314
The greatest common divisor of numbers 745, 364, 977, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 745, 364, 977, 314 is 1.

1. What is the GCD of 745, 364, 977, 314?

GCD of given numbers 745, 364, 977, 314 is 1

2. How to calculate the greatest common divisor of 745, 364, 977, 314?

We can find the highest common divisor of 745, 364, 977, 314 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 745, 364, 977, 314 i.e 1.

3. How can I use the GCD of 745, 364, 977, 314Calculator?

Out the numbers 745, 364, 977, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.