GCD of 157, 360, 520, 748 Calculator

Given Input numbers are 157, 360, 520, 748

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

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

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 748 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (157, 360, 520, 748) = 1.

Given numbers are 157, 360, 520, 748

The list of prime factors of all numbers are

Prime factors of 157 are 157

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

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

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

Given numbers are 157, 360, 520, 748

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

Apply this formula for all numbers.

Step1:

LCM(157, 360) = 56520

GCD(157, 360) = ( 157 x 360 ) / 56520

= 157 / 360

= 157

Step2:

LCM(1, 520) = 520

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

= 1 / 520

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 157, 360, 520, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 154, 836, 654
• GCD of 864, 648, 166, 850
• GCD of 953, 402, 411, 511
• GCD of 400, 962, 502, 711
• GCD of 769, 120, 608, 264

Given numbers are 157, 360, 520, 748
The greatest common divisor of numbers 157, 360, 520, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 157, 360, 520, 748 is 1.

1. What is the GCD of 157, 360, 520, 748?

GCD of given numbers 157, 360, 520, 748 is 1

2. How to calculate the greatest common divisor of 157, 360, 520, 748?

We can find the highest common divisor of 157, 360, 520, 748 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 157, 360, 520, 748 i.e 1.

3. How can I use the GCD of 157, 360, 520, 748Calculator?

Out the numbers 157, 360, 520, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.