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GCD of 175, 832, 969, 138 Calculator

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


Online GCD Calculator is useful to find the GCD of 175, 832, 969, 138 quickly. Get the easiest ways to solve the greatest common divisor of 175, 832, 969, 138 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 175, 832, 969, 138 with Factoring?

Given Input numbers are 175, 832, 969, 138

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 138 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (175, 832, 969, 138) = 1.

Find GCD of 175, 832, 969, 138 using Prime Factorization

Given numbers are 175, 832, 969, 138

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 969 are 3 x 17 x 19

Prime factors of 138 are 2 x 3 x 23

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

Steps to Calculate GCD of 175, 832, 969, 138 using LCM Formula

Given numbers are 175, 832, 969, 138

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

Apply this formula for all numbers.

Step1:

LCM(175, 832) = 145600

GCD(175, 832) = ( 175 x 832 ) / 145600

= 175 / 832

= 175


Step2:

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

= 1 / 969

= 1


Step3:

LCM(1, 138) = 138

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

= 1 / 138

= 1


So, Greatest Common Divisor of 175, 832, 969, 138 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 175, 832, 969, 138

Given numbers are 175, 832, 969, 138
The greatest common divisor of numbers 175, 832, 969, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 832, 969, 138 is 1.

FAQs on GCD of 175, 832, 969, 138 Calculator

1. What is the GCD of 175, 832, 969, 138?

GCD of given numbers 175, 832, 969, 138 is 1


2. How to calculate the greatest common divisor of 175, 832, 969, 138?

We can find the highest common divisor of 175, 832, 969, 138 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 175, 832, 969, 138 i.e 1.


3. How can I use the GCD of 175, 832, 969, 138Calculator?

Out the numbers 175, 832, 969, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.