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GCD of 753, 342, 693, 154 Calculator

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


Online GCD Calculator is useful to find the GCD of 753, 342, 693, 154 quickly. Get the easiest ways to solve the greatest common divisor of 753, 342, 693, 154 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 753, 342, 693, 154 with Factoring?

Given Input numbers are 753, 342, 693, 154

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

Divisors of 753 :

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

1, 3, 251, 753

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154


GCD of numbers is the greatest common divisor

So, the GCD (753, 342, 693, 154) = 1.

Find GCD of 753, 342, 693, 154 using Prime Factorization

Given numbers are 753, 342, 693, 154

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 154 are 2 x 7 x 11

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

Steps to Calculate GCD of 753, 342, 693, 154 using LCM Formula

Given numbers are 753, 342, 693, 154

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

Apply this formula for all numbers.

Step1:

LCM(753, 342) = 85842

GCD(753, 342) = ( 753 x 342 ) / 85842

= 753 / 342

= 753


Step2:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3


Step3:

LCM(3, 154) = 462

GCD(3, 154) = ( 3 x 154 ) / 462

= 3 / 154

= 3


So, Greatest Common Divisor of 753, 342, 693, 154 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 753, 342, 693, 154

Given numbers are 753, 342, 693, 154
The greatest common divisor of numbers 753, 342, 693, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 342, 693, 154 is 1.

FAQs on GCD of 753, 342, 693, 154 Calculator

1. What is the GCD of 753, 342, 693, 154?

GCD of given numbers 753, 342, 693, 154 is 1


2. How to calculate the greatest common divisor of 753, 342, 693, 154?

We can find the highest common divisor of 753, 342, 693, 154 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 753, 342, 693, 154 i.e 1.


3. How can I use the GCD of 753, 342, 693, 154Calculator?

Out the numbers 753, 342, 693, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.