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GCD of 608, 513, 700, 135 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 608, 513, 700, 135 quickly. Get the easiest ways to solve the greatest common divisor of 608, 513, 700, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 608, 513, 700, 135 with Factoring?

Given Input numbers are 608, 513, 700, 135

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

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 (608, 513, 700, 135) = 1.

Find GCD of 608, 513, 700, 135 using Prime Factorization

Given numbers are 608, 513, 700, 135

The list of prime factors of all numbers are

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Steps to Calculate GCD of 608, 513, 700, 135 using LCM Formula

Given numbers are 608, 513, 700, 135

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

Apply this formula for all numbers.

Step1:

LCM(608, 513) = 16416

GCD(608, 513) = ( 608 x 513 ) / 16416

= 608 / 513

= 608


Step2:

LCM(19, 700) = 13300

GCD(19, 700) = ( 19 x 700 ) / 13300

= 19 / 700

= 19


Step3:

LCM(1, 135) = 135

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

= 1 / 135

= 1


So, Greatest Common Divisor of 608, 513, 700, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 608, 513, 700, 135

Given numbers are 608, 513, 700, 135
The greatest common divisor of numbers 608, 513, 700, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 513, 700, 135 is 1.

FAQs on GCD of 608, 513, 700, 135 Calculator

1. What is the GCD of 608, 513, 700, 135?

GCD of given numbers 608, 513, 700, 135 is 1


2. How to calculate the greatest common divisor of 608, 513, 700, 135?

We can find the highest common divisor of 608, 513, 700, 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 608, 513, 700, 135 i.e 1.


3. How can I use the GCD of 608, 513, 700, 135Calculator?

Out the numbers 608, 513, 700, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.