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GCD of 708, 745, 149 Calculator

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


Online GCD Calculator is useful to find the GCD of 708, 745, 149 quickly. Get the easiest ways to solve the greatest common divisor of 708, 745, 149 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 708, 745, 149 with Factoring?

Given Input numbers are 708, 745, 149

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 745 :

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

1, 5, 149, 745

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149


GCD of numbers is the greatest common divisor

So, the GCD (708, 745, 149) = 1.

Find GCD of 708, 745, 149 using Prime Factorization

Given numbers are 708, 745, 149

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 745 are 5 x 149

Prime factors of 149 are 149

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

Steps to Calculate GCD of 708, 745, 149 using LCM Formula

Given numbers are 708, 745, 149

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

Apply this formula for all numbers.

Step1:

LCM(708, 745) = 527460

GCD(708, 745) = ( 708 x 745 ) / 527460

= 708 / 745

= 708


Step2:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1


So, Greatest Common Divisor of 708, 745, 149 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 708, 745, 149

Given numbers are 708, 745, 149
The greatest common divisor of numbers 708, 745, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 745, 149 is 1.

FAQs on GCD of 708, 745, 149 Calculator

1. What is the GCD of 708, 745, 149?

GCD of given numbers 708, 745, 149 is 1


2. How to calculate the greatest common divisor of 708, 745, 149?

We can find the highest common divisor of 708, 745, 149 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 708, 745, 149 i.e 1.


3. How can I use the GCD of 708, 745, 149Calculator?

Out the numbers 708, 745, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.