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GCD of 126, 315, 170, 753 Calculator

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


Online GCD Calculator is useful to find the GCD of 126, 315, 170, 753 quickly. Get the easiest ways to solve the greatest common divisor of 126, 315, 170, 753 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 126, 315, 170, 753 with Factoring?

Given Input numbers are 126, 315, 170, 753

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753


GCD of numbers is the greatest common divisor

So, the GCD (126, 315, 170, 753) = 1.

Find GCD of 126, 315, 170, 753 using Prime Factorization

Given numbers are 126, 315, 170, 753

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 170 are 2 x 5 x 17

Prime factors of 753 are 3 x 251

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

Steps to Calculate GCD of 126, 315, 170, 753 using LCM Formula

Given numbers are 126, 315, 170, 753

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

Apply this formula for all numbers.

Step1:

LCM(126, 315) = 630

GCD(126, 315) = ( 126 x 315 ) / 630

= 126 / 315

= 126


Step2:

LCM(63, 170) = 10710

GCD(63, 170) = ( 63 x 170 ) / 10710

= 63 / 170

= 63


Step3:

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

= 1 / 753

= 1


So, Greatest Common Divisor of 126, 315, 170, 753 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 126, 315, 170, 753

Given numbers are 126, 315, 170, 753
The greatest common divisor of numbers 126, 315, 170, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 315, 170, 753 is 1.

FAQs on GCD of 126, 315, 170, 753 Calculator

1. What is the GCD of 126, 315, 170, 753?

GCD of given numbers 126, 315, 170, 753 is 1


2. How to calculate the greatest common divisor of 126, 315, 170, 753?

We can find the highest common divisor of 126, 315, 170, 753 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 126, 315, 170, 753 i.e 1.


3. How can I use the GCD of 126, 315, 170, 753Calculator?

Out the numbers 126, 315, 170, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.