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GCD of 700, 612, 538, 675 Calculator

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


Online GCD Calculator is useful to find the GCD of 700, 612, 538, 675 quickly. Get the easiest ways to solve the greatest common divisor of 700, 612, 538, 675 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 612, 538, 675 with Factoring?

Given Input numbers are 700, 612, 538, 675

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

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675


GCD of numbers is the greatest common divisor

So, the GCD (700, 612, 538, 675) = 1.

Find GCD of 700, 612, 538, 675 using Prime Factorization

Given numbers are 700, 612, 538, 675

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 538 are 2 x 269

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Steps to Calculate GCD of 700, 612, 538, 675 using LCM Formula

Given numbers are 700, 612, 538, 675

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

Apply this formula for all numbers.

Step1:

LCM(700, 612) = 107100

GCD(700, 612) = ( 700 x 612 ) / 107100

= 700 / 612

= 700


Step2:

LCM(4, 538) = 1076

GCD(4, 538) = ( 4 x 538 ) / 1076

= 4 / 538

= 4


Step3:

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

= 2 / 675

= 2


So, Greatest Common Divisor of 700, 612, 538, 675 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 612, 538, 675

Given numbers are 700, 612, 538, 675
The greatest common divisor of numbers 700, 612, 538, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 612, 538, 675 is 1.

FAQs on GCD of 700, 612, 538, 675 Calculator

1. What is the GCD of 700, 612, 538, 675?

GCD of given numbers 700, 612, 538, 675 is 1


2. How to calculate the greatest common divisor of 700, 612, 538, 675?

We can find the highest common divisor of 700, 612, 538, 675 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 700, 612, 538, 675 i.e 1.


3. How can I use the GCD of 700, 612, 538, 675Calculator?

Out the numbers 700, 612, 538, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.