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GCD of 702, 345, 748, 906 Calculator

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


Online GCD Calculator is useful to find the GCD of 702, 345, 748, 906 quickly. Get the easiest ways to solve the greatest common divisor of 702, 345, 748, 906 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 702, 345, 748, 906 with Factoring?

Given Input numbers are 702, 345, 748, 906

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906


GCD of numbers is the greatest common divisor

So, the GCD (702, 345, 748, 906) = 1.

Find GCD of 702, 345, 748, 906 using Prime Factorization

Given numbers are 702, 345, 748, 906

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 345 are 3 x 5 x 23

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 906 are 2 x 3 x 151

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

Steps to Calculate GCD of 702, 345, 748, 906 using LCM Formula

Given numbers are 702, 345, 748, 906

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

Apply this formula for all numbers.

Step1:

LCM(702, 345) = 80730

GCD(702, 345) = ( 702 x 345 ) / 80730

= 702 / 345

= 702


Step2:

LCM(3, 748) = 2244

GCD(3, 748) = ( 3 x 748 ) / 2244

= 3 / 748

= 3


Step3:

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

= 1 / 906

= 1


So, Greatest Common Divisor of 702, 345, 748, 906 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 702, 345, 748, 906

Given numbers are 702, 345, 748, 906
The greatest common divisor of numbers 702, 345, 748, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 345, 748, 906 is 1.

FAQs on GCD of 702, 345, 748, 906 Calculator

1. What is the GCD of 702, 345, 748, 906?

GCD of given numbers 702, 345, 748, 906 is 1


2. How to calculate the greatest common divisor of 702, 345, 748, 906?

We can find the highest common divisor of 702, 345, 748, 906 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 702, 345, 748, 906 i.e 1.


3. How can I use the GCD of 702, 345, 748, 906Calculator?

Out the numbers 702, 345, 748, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.