GCD of 965, 731, 777, 314 Calculator

Given Input numbers are 965, 731, 777, 314

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

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

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 (965, 731, 777, 314) = 1.

Given numbers are 965, 731, 777, 314

The list of prime factors of all numbers are

Prime factors of 965 are 5 x 193

Prime factors of 731 are 17 x 43

Prime factors of 777 are 3 x 7 x 37

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 965, 731, 777, 314

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

Apply this formula for all numbers.

Step1:

LCM(965, 731) = 705415

GCD(965, 731) = ( 965 x 731 ) / 705415

= 965 / 731

= 965

Step2:

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

= 1 / 777

= 1

Step3:

LCM(1, 314) = 314

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

= 1 / 314

= 1

So, Greatest Common Divisor of 965, 731, 777, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 419, 182, 452
• GCD of 791, 835, 278, 492
• GCD of 590, 571, 956, 163
• GCD of 622, 940, 790, 215
• GCD of 544, 611, 716, 950

Given numbers are 965, 731, 777, 314
The greatest common divisor of numbers 965, 731, 777, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 965, 731, 777, 314 is 1.

1. What is the GCD of 965, 731, 777, 314?

GCD of given numbers 965, 731, 777, 314 is 1

2. How to calculate the greatest common divisor of 965, 731, 777, 314?

We can find the highest common divisor of 965, 731, 777, 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 965, 731, 777, 314 i.e 1.

3. How can I use the GCD of 965, 731, 777, 314Calculator?

Out the numbers 965, 731, 777, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.