GCD of 960, 249, 720, 896 Calculator

Given Input numbers are 960, 249, 720, 896

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 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (960, 249, 720, 896) = 1.

Given numbers are 960, 249, 720, 896

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 249 are 3 x 83

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 960, 249, 720, 896

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

Apply this formula for all numbers.

Step1:

LCM(960, 249) = 79680

GCD(960, 249) = ( 960 x 249 ) / 79680

= 960 / 249

= 960

Step2:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3

Step3:

LCM(3, 896) = 2688

GCD(3, 896) = ( 3 x 896 ) / 2688

= 3 / 896

= 3

So, Greatest Common Divisor of 960, 249, 720, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 630, 167, 534
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• GCD of 822, 278, 305, 756
• GCD of 577, 454, 593, 443
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Given numbers are 960, 249, 720, 896
The greatest common divisor of numbers 960, 249, 720, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 249, 720, 896 is 1.

1. What is the GCD of 960, 249, 720, 896?

GCD of given numbers 960, 249, 720, 896 is 1

2. How to calculate the greatest common divisor of 960, 249, 720, 896?

We can find the highest common divisor of 960, 249, 720, 896 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, 249, 720, 896 i.e 1.

3. How can I use the GCD of 960, 249, 720, 896Calculator?

Out the numbers 960, 249, 720, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.