GCD of 766, 646, 724, 320 Calculator

Given Input numbers are 766, 646, 724, 320

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (766, 646, 724, 320) = 2.

Given numbers are 766, 646, 724, 320

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 646 are 2 x 17 x 19

Prime factors of 724 are 2 x 2 x 181

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 766, 646, 724, 320 is 2.

Given numbers are 766, 646, 724, 320

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

Apply this formula for all numbers.

Step1:

LCM(766, 646) = 247418

GCD(766, 646) = ( 766 x 646 ) / 247418

= 766 / 646

= 766

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

So, Greatest Common Divisor of 766, 646, 724, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 259, 226, 937
• GCD of 674, 894, 228, 462
• GCD of 881, 667, 606, 225
• GCD of 811, 781, 812, 707
• GCD of 861, 118, 359, 391

Given numbers are 766, 646, 724, 320
The greatest common divisor of numbers 766, 646, 724, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 646, 724, 320 is 2.

1. What is the GCD of 766, 646, 724, 320?

GCD of given numbers 766, 646, 724, 320 is 2

2. How to calculate the greatest common divisor of 766, 646, 724, 320?

We can find the highest common divisor of 766, 646, 724, 320 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 766, 646, 724, 320 i.e 2.

3. How can I use the GCD of 766, 646, 724, 320Calculator?

Out the numbers 766, 646, 724, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.