GCD of 747, 915, 364, 480 Calculator

Given Input numbers are 747, 915, 364, 480

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (747, 915, 364, 480) = 1.

Given numbers are 747, 915, 364, 480

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 915 are 3 x 5 x 61

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 747, 915, 364, 480

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

Apply this formula for all numbers.

Step1:

LCM(747, 915) = 227835

GCD(747, 915) = ( 747 x 915 ) / 227835

= 747 / 915

= 747

Step2:

LCM(3, 364) = 1092

GCD(3, 364) = ( 3 x 364 ) / 1092

= 3 / 364

= 3

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 747, 915, 364, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 985, 259, 973
• GCD of 244, 668, 530, 296
• GCD of 956, 867, 410, 197
• GCD of 259, 142, 256, 634
• GCD of 580, 865, 351, 329

Given numbers are 747, 915, 364, 480
The greatest common divisor of numbers 747, 915, 364, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 915, 364, 480 is 1.

1. What is the GCD of 747, 915, 364, 480?

GCD of given numbers 747, 915, 364, 480 is 1

2. How to calculate the greatest common divisor of 747, 915, 364, 480?

We can find the highest common divisor of 747, 915, 364, 480 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 747, 915, 364, 480 i.e 1.

3. How can I use the GCD of 747, 915, 364, 480Calculator?

Out the numbers 747, 915, 364, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.