GCD of 764, 314, 470 Calculator

Given Input numbers are 764, 314, 470

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (764, 314, 470) = 2.

Given numbers are 764, 314, 470

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 314 are 2 x 157

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 764, 314, 470 is 2.

Given numbers are 764, 314, 470

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

Apply this formula for all numbers.

Step1:

LCM(764, 314) = 119948

GCD(764, 314) = ( 764 x 314 ) / 119948

= 764 / 314

= 764

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

So, Greatest Common Divisor of 764, 314, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 100, 764
• GCD of 171, 919, 982
• GCD of 842, 637, 888
• GCD of 944, 141, 869
• GCD of 944, 977, 388

Given numbers are 764, 314, 470
The greatest common divisor of numbers 764, 314, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 314, 470 is 2.

1. What is the GCD of 764, 314, 470?

GCD of given numbers 764, 314, 470 is 2

2. How to calculate the greatest common divisor of 764, 314, 470?

We can find the highest common divisor of 764, 314, 470 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 764, 314, 470 i.e 2.

3. How can I use the GCD of 764, 314, 470Calculator?

Out the numbers 764, 314, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.