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GCD of 742, 988, 165, 770 Calculator

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


Online GCD Calculator is useful to find the GCD of 742, 988, 165, 770 quickly. Get the easiest ways to solve the greatest common divisor of 742, 988, 165, 770 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 988, 165, 770 with Factoring?

Given Input numbers are 742, 988, 165, 770

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770


GCD of numbers is the greatest common divisor

So, the GCD (742, 988, 165, 770) = 1.

Find GCD of 742, 988, 165, 770 using Prime Factorization

Given numbers are 742, 988, 165, 770

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 165 are 3 x 5 x 11

Prime factors of 770 are 2 x 5 x 7 x 11

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

Steps to Calculate GCD of 742, 988, 165, 770 using LCM Formula

Given numbers are 742, 988, 165, 770

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

Apply this formula for all numbers.

Step1:

LCM(742, 988) = 366548

GCD(742, 988) = ( 742 x 988 ) / 366548

= 742 / 988

= 742


Step2:

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

= 2 / 165

= 2


Step3:

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

= 1 / 770

= 1


So, Greatest Common Divisor of 742, 988, 165, 770 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 988, 165, 770

Given numbers are 742, 988, 165, 770
The greatest common divisor of numbers 742, 988, 165, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 988, 165, 770 is 1.

FAQs on GCD of 742, 988, 165, 770 Calculator

1. What is the GCD of 742, 988, 165, 770?

GCD of given numbers 742, 988, 165, 770 is 1


2. How to calculate the greatest common divisor of 742, 988, 165, 770?

We can find the highest common divisor of 742, 988, 165, 770 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 742, 988, 165, 770 i.e 1.


3. How can I use the GCD of 742, 988, 165, 770Calculator?

Out the numbers 742, 988, 165, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.