GCD of 520, 735, 460, 378 Calculator

Given Input numbers are 520, 735, 460, 378

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

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (520, 735, 460, 378) = 1.

Given numbers are 520, 735, 460, 378

The list of prime factors of all numbers are

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

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Given numbers are 520, 735, 460, 378

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

Apply this formula for all numbers.

Step1:

LCM(520, 735) = 76440

GCD(520, 735) = ( 520 x 735 ) / 76440

= 520 / 735

= 520

Step2:

LCM(5, 460) = 460

GCD(5, 460) = ( 5 x 460 ) / 460

= 5 / 460

= 5

Step3:

LCM(5, 378) = 1890

GCD(5, 378) = ( 5 x 378 ) / 1890

= 5 / 378

= 5

So, Greatest Common Divisor of 520, 735, 460, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 860, 727, 948
• GCD of 143, 316, 971, 825
• GCD of 518, 597, 818, 859
• GCD of 887, 408, 574, 891
• GCD of 721, 290, 646, 305

Given numbers are 520, 735, 460, 378
The greatest common divisor of numbers 520, 735, 460, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 735, 460, 378 is 1.

1. What is the GCD of 520, 735, 460, 378?

GCD of given numbers 520, 735, 460, 378 is 1

2. How to calculate the greatest common divisor of 520, 735, 460, 378?

We can find the highest common divisor of 520, 735, 460, 378 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 520, 735, 460, 378 i.e 1.

3. How can I use the GCD of 520, 735, 460, 378Calculator?

Out the numbers 520, 735, 460, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.