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GCD of 189, 700, 937, 421 Calculator

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


Online GCD Calculator is useful to find the GCD of 189, 700, 937, 421 quickly. Get the easiest ways to solve the greatest common divisor of 189, 700, 937, 421 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 700, 937, 421 with Factoring?

Given Input numbers are 189, 700, 937, 421

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 937 :

The positive integer divisors of 937 that completely divides 937 are.

1, 937

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421


GCD of numbers is the greatest common divisor

So, the GCD (189, 700, 937, 421) = 1.

Find GCD of 189, 700, 937, 421 using Prime Factorization

Given numbers are 189, 700, 937, 421

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 937 are 937

Prime factors of 421 are 421

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

Steps to Calculate GCD of 189, 700, 937, 421 using LCM Formula

Given numbers are 189, 700, 937, 421

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

Apply this formula for all numbers.

Step1:

LCM(189, 700) = 18900

GCD(189, 700) = ( 189 x 700 ) / 18900

= 189 / 700

= 189


Step2:

LCM(7, 937) = 6559

GCD(7, 937) = ( 7 x 937 ) / 6559

= 7 / 937

= 7


Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1


So, Greatest Common Divisor of 189, 700, 937, 421 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 700, 937, 421

Given numbers are 189, 700, 937, 421
The greatest common divisor of numbers 189, 700, 937, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 700, 937, 421 is 1.

FAQs on GCD of 189, 700, 937, 421 Calculator

1. What is the GCD of 189, 700, 937, 421?

GCD of given numbers 189, 700, 937, 421 is 1


2. How to calculate the greatest common divisor of 189, 700, 937, 421?

We can find the highest common divisor of 189, 700, 937, 421 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 189, 700, 937, 421 i.e 1.


3. How can I use the GCD of 189, 700, 937, 421Calculator?

Out the numbers 189, 700, 937, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.