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GCD of 934, 198, 825, 140 Calculator

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


Online GCD Calculator is useful to find the GCD of 934, 198, 825, 140 quickly. Get the easiest ways to solve the greatest common divisor of 934, 198, 825, 140 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 934, 198, 825, 140 with Factoring?

Given Input numbers are 934, 198, 825, 140

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

Divisors of 934 :

The positive integer divisors of 934 that completely divides 934 are.

1, 2, 467, 934

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140


GCD of numbers is the greatest common divisor

So, the GCD (934, 198, 825, 140) = 1.

Find GCD of 934, 198, 825, 140 using Prime Factorization

Given numbers are 934, 198, 825, 140

The list of prime factors of all numbers are

Prime factors of 934 are 2 x 467

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 140 are 2 x 2 x 5 x 7

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

Steps to Calculate GCD of 934, 198, 825, 140 using LCM Formula

Given numbers are 934, 198, 825, 140

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

Apply this formula for all numbers.

Step1:

LCM(934, 198) = 92466

GCD(934, 198) = ( 934 x 198 ) / 92466

= 934 / 198

= 934


Step2:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2


Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1


So, Greatest Common Divisor of 934, 198, 825, 140 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 934, 198, 825, 140

Given numbers are 934, 198, 825, 140
The greatest common divisor of numbers 934, 198, 825, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 934, 198, 825, 140 is 1.

FAQs on GCD of 934, 198, 825, 140 Calculator

1. What is the GCD of 934, 198, 825, 140?

GCD of given numbers 934, 198, 825, 140 is 1


2. How to calculate the greatest common divisor of 934, 198, 825, 140?

We can find the highest common divisor of 934, 198, 825, 140 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 934, 198, 825, 140 i.e 1.


3. How can I use the GCD of 934, 198, 825, 140Calculator?

Out the numbers 934, 198, 825, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.