GCD of 960, 760, 510, 724 Calculator

Given Input numbers are 960, 760, 510, 724

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (960, 760, 510, 724) = 2.

Given numbers are 960, 760, 510, 724

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 960, 760, 510, 724 is 2.

Given numbers are 960, 760, 510, 724

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

Apply this formula for all numbers.

Step1:

LCM(960, 760) = 18240

GCD(960, 760) = ( 960 x 760 ) / 18240

= 960 / 760

= 960

Step2:

LCM(40, 510) = 2040

GCD(40, 510) = ( 40 x 510 ) / 2040

= 40 / 510

= 40

Step3:

LCM(10, 724) = 3620

GCD(10, 724) = ( 10 x 724 ) / 3620

= 10 / 724

= 10

So, Greatest Common Divisor of 960, 760, 510, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 345, 262, 199
• GCD of 779, 580, 473, 824
• GCD of 338, 273, 409, 812
• GCD of 883, 783, 650, 399
• GCD of 120, 305, 474, 246

Given numbers are 960, 760, 510, 724
The greatest common divisor of numbers 960, 760, 510, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 760, 510, 724 is 2.

1. What is the GCD of 960, 760, 510, 724?

GCD of given numbers 960, 760, 510, 724 is 2

2. How to calculate the greatest common divisor of 960, 760, 510, 724?

We can find the highest common divisor of 960, 760, 510, 724 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 960, 760, 510, 724 i.e 2.

3. How can I use the GCD of 960, 760, 510, 724Calculator?

Out the numbers 960, 760, 510, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.