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GCD of 915, 840, 699, 920 Calculator

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


Online GCD Calculator is useful to find the GCD of 915, 840, 699, 920 quickly. Get the easiest ways to solve the greatest common divisor of 915, 840, 699, 920 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 915, 840, 699, 920 with Factoring?

Given Input numbers are 915, 840, 699, 920

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

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

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 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920


GCD of numbers is the greatest common divisor

So, the GCD (915, 840, 699, 920) = 1.

Find GCD of 915, 840, 699, 920 using Prime Factorization

Given numbers are 915, 840, 699, 920

The list of prime factors of all numbers are

Prime factors of 915 are 3 x 5 x 61

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

Prime factors of 699 are 3 x 233

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Steps to Calculate GCD of 915, 840, 699, 920 using LCM Formula

Given numbers are 915, 840, 699, 920

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

Apply this formula for all numbers.

Step1:

LCM(915, 840) = 51240

GCD(915, 840) = ( 915 x 840 ) / 51240

= 915 / 840

= 915


Step2:

LCM(15, 699) = 3495

GCD(15, 699) = ( 15 x 699 ) / 3495

= 15 / 699

= 15


Step3:

LCM(3, 920) = 2760

GCD(3, 920) = ( 3 x 920 ) / 2760

= 3 / 920

= 3


So, Greatest Common Divisor of 915, 840, 699, 920 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 915, 840, 699, 920

Given numbers are 915, 840, 699, 920
The greatest common divisor of numbers 915, 840, 699, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 840, 699, 920 is 1.

FAQs on GCD of 915, 840, 699, 920 Calculator

1. What is the GCD of 915, 840, 699, 920?

GCD of given numbers 915, 840, 699, 920 is 1


2. How to calculate the greatest common divisor of 915, 840, 699, 920?

We can find the highest common divisor of 915, 840, 699, 920 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 915, 840, 699, 920 i.e 1.


3. How can I use the GCD of 915, 840, 699, 920Calculator?

Out the numbers 915, 840, 699, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.