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GCD of 840, 905, 977, 690 Calculator

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


Online GCD Calculator is useful to find the GCD of 840, 905, 977, 690 quickly. Get the easiest ways to solve the greatest common divisor of 840, 905, 977, 690 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 905, 977, 690 with Factoring?

Given Input numbers are 840, 905, 977, 690

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

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 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690


GCD of numbers is the greatest common divisor

So, the GCD (840, 905, 977, 690) = 1.

Find GCD of 840, 905, 977, 690 using Prime Factorization

Given numbers are 840, 905, 977, 690

The list of prime factors of all numbers are

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

Prime factors of 905 are 5 x 181

Prime factors of 977 are 977

Prime factors of 690 are 2 x 3 x 5 x 23

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

Steps to Calculate GCD of 840, 905, 977, 690 using LCM Formula

Given numbers are 840, 905, 977, 690

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

Apply this formula for all numbers.

Step1:

LCM(840, 905) = 152040

GCD(840, 905) = ( 840 x 905 ) / 152040

= 840 / 905

= 840


Step2:

LCM(5, 977) = 4885

GCD(5, 977) = ( 5 x 977 ) / 4885

= 5 / 977

= 5


Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1


So, Greatest Common Divisor of 840, 905, 977, 690 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 905, 977, 690

Given numbers are 840, 905, 977, 690
The greatest common divisor of numbers 840, 905, 977, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 905, 977, 690 is 1.

FAQs on GCD of 840, 905, 977, 690 Calculator

1. What is the GCD of 840, 905, 977, 690?

GCD of given numbers 840, 905, 977, 690 is 1


2. How to calculate the greatest common divisor of 840, 905, 977, 690?

We can find the highest common divisor of 840, 905, 977, 690 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 840, 905, 977, 690 i.e 1.


3. How can I use the GCD of 840, 905, 977, 690Calculator?

Out the numbers 840, 905, 977, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.