GCD of 960, 876, 114, 744 Calculator

Given Input numbers are 960, 876, 114, 744

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 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (960, 876, 114, 744) = 6.

Given numbers are 960, 876, 114, 744

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 876 are 2 x 2 x 3 x 73

Prime factors of 114 are 2 x 3 x 19

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 960, 876, 114, 744 is 6.

Given numbers are 960, 876, 114, 744

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

Apply this formula for all numbers.

Step1:

LCM(960, 876) = 70080

GCD(960, 876) = ( 960 x 876 ) / 70080

= 960 / 876

= 960

Step2:

LCM(12, 114) = 228

GCD(12, 114) = ( 12 x 114 ) / 228

= 12 / 114

= 12

Step3:

LCM(6, 744) = 744

GCD(6, 744) = ( 6 x 744 ) / 744

= 6 / 744

= 6

So, Greatest Common Divisor of 960, 876, 114, 744 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 331, 131, 237
• GCD of 910, 999, 109, 828
• GCD of 820, 233, 129, 934
• GCD of 976, 376, 768, 510
• GCD of 681, 645, 467, 843

Given numbers are 960, 876, 114, 744
The greatest common divisor of numbers 960, 876, 114, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 876, 114, 744 is 6.

1. What is the GCD of 960, 876, 114, 744?

GCD of given numbers 960, 876, 114, 744 is 6

2. How to calculate the greatest common divisor of 960, 876, 114, 744?

We can find the highest common divisor of 960, 876, 114, 744 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, 876, 114, 744 i.e 6.

3. How can I use the GCD of 960, 876, 114, 744Calculator?

Out the numbers 960, 876, 114, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.