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GCD of 706, 780, 370, 989 Calculator

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


Online GCD Calculator is useful to find the GCD of 706, 780, 370, 989 quickly. Get the easiest ways to solve the greatest common divisor of 706, 780, 370, 989 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 706, 780, 370, 989 with Factoring?

Given Input numbers are 706, 780, 370, 989

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989


GCD of numbers is the greatest common divisor

So, the GCD (706, 780, 370, 989) = 1.

Find GCD of 706, 780, 370, 989 using Prime Factorization

Given numbers are 706, 780, 370, 989

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 370 are 2 x 5 x 37

Prime factors of 989 are 23 x 43

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

Steps to Calculate GCD of 706, 780, 370, 989 using LCM Formula

Given numbers are 706, 780, 370, 989

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

Apply this formula for all numbers.

Step1:

LCM(706, 780) = 275340

GCD(706, 780) = ( 706 x 780 ) / 275340

= 706 / 780

= 706


Step2:

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

= 2 / 370

= 2


Step3:

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

= 2 / 989

= 2


So, Greatest Common Divisor of 706, 780, 370, 989 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 706, 780, 370, 989

Given numbers are 706, 780, 370, 989
The greatest common divisor of numbers 706, 780, 370, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 780, 370, 989 is 1.

FAQs on GCD of 706, 780, 370, 989 Calculator

1. What is the GCD of 706, 780, 370, 989?

GCD of given numbers 706, 780, 370, 989 is 1


2. How to calculate the greatest common divisor of 706, 780, 370, 989?

We can find the highest common divisor of 706, 780, 370, 989 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 706, 780, 370, 989 i.e 1.


3. How can I use the GCD of 706, 780, 370, 989Calculator?

Out the numbers 706, 780, 370, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.