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GCD of 945, 739, 138, 870 Calculator

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


Online GCD Calculator is useful to find the GCD of 945, 739, 138, 870 quickly. Get the easiest ways to solve the greatest common divisor of 945, 739, 138, 870 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 945, 739, 138, 870 with Factoring?

Given Input numbers are 945, 739, 138, 870

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870


GCD of numbers is the greatest common divisor

So, the GCD (945, 739, 138, 870) = 1.

Find GCD of 945, 739, 138, 870 using Prime Factorization

Given numbers are 945, 739, 138, 870

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 739 are 739

Prime factors of 138 are 2 x 3 x 23

Prime factors of 870 are 2 x 3 x 5 x 29

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

Steps to Calculate GCD of 945, 739, 138, 870 using LCM Formula

Given numbers are 945, 739, 138, 870

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

Apply this formula for all numbers.

Step1:

LCM(945, 739) = 698355

GCD(945, 739) = ( 945 x 739 ) / 698355

= 945 / 739

= 945


Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1


So, Greatest Common Divisor of 945, 739, 138, 870 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 945, 739, 138, 870

Given numbers are 945, 739, 138, 870
The greatest common divisor of numbers 945, 739, 138, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 739, 138, 870 is 1.

FAQs on GCD of 945, 739, 138, 870 Calculator

1. What is the GCD of 945, 739, 138, 870?

GCD of given numbers 945, 739, 138, 870 is 1


2. How to calculate the greatest common divisor of 945, 739, 138, 870?

We can find the highest common divisor of 945, 739, 138, 870 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 945, 739, 138, 870 i.e 1.


3. How can I use the GCD of 945, 739, 138, 870Calculator?

Out the numbers 945, 739, 138, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.