GCD of 654, 752, 764, 313 Calculator

Given Input numbers are 654, 752, 764, 313

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 764 :

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

1, 2, 4, 191, 382, 764

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (654, 752, 764, 313) = 1.

Given numbers are 654, 752, 764, 313

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 764 are 2 x 2 x 191

Prime factors of 313 are 313

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

Given numbers are 654, 752, 764, 313

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

Apply this formula for all numbers.

Step1:

LCM(654, 752) = 245904

GCD(654, 752) = ( 654 x 752 ) / 245904

= 654 / 752

= 654

Step2:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

Step3:

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

= 2 / 313

= 2

So, Greatest Common Divisor of 654, 752, 764, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 479, 123, 329
• GCD of 420, 154, 363, 264
• GCD of 627, 776, 239, 696
• GCD of 255, 843, 917, 719
• GCD of 413, 560, 592, 897

Given numbers are 654, 752, 764, 313
The greatest common divisor of numbers 654, 752, 764, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 752, 764, 313 is 1.

1. What is the GCD of 654, 752, 764, 313?

GCD of given numbers 654, 752, 764, 313 is 1

2. How to calculate the greatest common divisor of 654, 752, 764, 313?

We can find the highest common divisor of 654, 752, 764, 313 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 654, 752, 764, 313 i.e 1.

3. How can I use the GCD of 654, 752, 764, 313Calculator?

Out the numbers 654, 752, 764, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.