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GCD of 675, 882, 745, 253 Calculator

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


Online GCD Calculator is useful to find the GCD of 675, 882, 745, 253 quickly. Get the easiest ways to solve the greatest common divisor of 675, 882, 745, 253 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 675, 882, 745, 253 with Factoring?

Given Input numbers are 675, 882, 745, 253

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

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253


GCD of numbers is the greatest common divisor

So, the GCD (675, 882, 745, 253) = 1.

Find GCD of 675, 882, 745, 253 using Prime Factorization

Given numbers are 675, 882, 745, 253

The list of prime factors of all numbers are

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

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 745 are 5 x 149

Prime factors of 253 are 11 x 23

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

Steps to Calculate GCD of 675, 882, 745, 253 using LCM Formula

Given numbers are 675, 882, 745, 253

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

Apply this formula for all numbers.

Step1:

LCM(675, 882) = 66150

GCD(675, 882) = ( 675 x 882 ) / 66150

= 675 / 882

= 675


Step2:

LCM(9, 745) = 6705

GCD(9, 745) = ( 9 x 745 ) / 6705

= 9 / 745

= 9


Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1


So, Greatest Common Divisor of 675, 882, 745, 253 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 675, 882, 745, 253

Given numbers are 675, 882, 745, 253
The greatest common divisor of numbers 675, 882, 745, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 882, 745, 253 is 1.

FAQs on GCD of 675, 882, 745, 253 Calculator

1. What is the GCD of 675, 882, 745, 253?

GCD of given numbers 675, 882, 745, 253 is 1


2. How to calculate the greatest common divisor of 675, 882, 745, 253?

We can find the highest common divisor of 675, 882, 745, 253 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 675, 882, 745, 253 i.e 1.


3. How can I use the GCD of 675, 882, 745, 253Calculator?

Out the numbers 675, 882, 745, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.