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GCD of 851, 700, 840, 189 Calculator

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


Online GCD Calculator is useful to find the GCD of 851, 700, 840, 189 quickly. Get the easiest ways to solve the greatest common divisor of 851, 700, 840, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 851, 700, 840, 189 with Factoring?

Given Input numbers are 851, 700, 840, 189

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

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 189 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (851, 700, 840, 189) = 1.

Find GCD of 851, 700, 840, 189 using Prime Factorization

Given numbers are 851, 700, 840, 189

The list of prime factors of all numbers are

Prime factors of 851 are 23 x 37

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

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

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

Steps to Calculate GCD of 851, 700, 840, 189 using LCM Formula

Given numbers are 851, 700, 840, 189

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

Apply this formula for all numbers.

Step1:

LCM(851, 700) = 595700

GCD(851, 700) = ( 851 x 700 ) / 595700

= 851 / 700

= 851


Step2:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1


Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


So, Greatest Common Divisor of 851, 700, 840, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 851, 700, 840, 189

Given numbers are 851, 700, 840, 189
The greatest common divisor of numbers 851, 700, 840, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 851, 700, 840, 189 is 1.

FAQs on GCD of 851, 700, 840, 189 Calculator

1. What is the GCD of 851, 700, 840, 189?

GCD of given numbers 851, 700, 840, 189 is 1


2. How to calculate the greatest common divisor of 851, 700, 840, 189?

We can find the highest common divisor of 851, 700, 840, 189 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 851, 700, 840, 189 i.e 1.


3. How can I use the GCD of 851, 700, 840, 189Calculator?

Out the numbers 851, 700, 840, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.