GCD of 748, 915, 520, 135 Calculator

Given Input numbers are 748, 915, 520, 135

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 915 :

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

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (748, 915, 520, 135) = 1.

Given numbers are 748, 915, 520, 135

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 915 are 3 x 5 x 61

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 748, 915, 520, 135

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

Apply this formula for all numbers.

Step1:

LCM(748, 915) = 684420

GCD(748, 915) = ( 748 x 915 ) / 684420

= 748 / 915

= 748

Step2:

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

= 1 / 520

= 1

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 748, 915, 520, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 482, 860, 863
• GCD of 174, 183, 592, 537
• GCD of 110, 108, 963, 592
• GCD of 978, 827, 404, 911
• GCD of 910, 371, 851, 115

Given numbers are 748, 915, 520, 135
The greatest common divisor of numbers 748, 915, 520, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 915, 520, 135 is 1.

1. What is the GCD of 748, 915, 520, 135?

GCD of given numbers 748, 915, 520, 135 is 1

2. How to calculate the greatest common divisor of 748, 915, 520, 135?

We can find the highest common divisor of 748, 915, 520, 135 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 748, 915, 520, 135 i.e 1.

3. How can I use the GCD of 748, 915, 520, 135Calculator?

Out the numbers 748, 915, 520, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.