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GCD of 840, 872, 505, 702 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, 872, 505, 702 quickly. Get the easiest ways to solve the greatest common divisor of 840, 872, 505, 702 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 872, 505, 702 with Factoring?

Given Input numbers are 840, 872, 505, 702

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702


GCD of numbers is the greatest common divisor

So, the GCD (840, 872, 505, 702) = 1.

Find GCD of 840, 872, 505, 702 using Prime Factorization

Given numbers are 840, 872, 505, 702

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 872 are 2 x 2 x 2 x 109

Prime factors of 505 are 5 x 101

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Steps to Calculate GCD of 840, 872, 505, 702 using LCM Formula

Given numbers are 840, 872, 505, 702

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

Apply this formula for all numbers.

Step1:

LCM(840, 872) = 91560

GCD(840, 872) = ( 840 x 872 ) / 91560

= 840 / 872

= 840


Step2:

LCM(8, 505) = 4040

GCD(8, 505) = ( 8 x 505 ) / 4040

= 8 / 505

= 8


Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1


So, Greatest Common Divisor of 840, 872, 505, 702 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 872, 505, 702

Given numbers are 840, 872, 505, 702
The greatest common divisor of numbers 840, 872, 505, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 872, 505, 702 is 1.

FAQs on GCD of 840, 872, 505, 702 Calculator

1. What is the GCD of 840, 872, 505, 702?

GCD of given numbers 840, 872, 505, 702 is 1


2. How to calculate the greatest common divisor of 840, 872, 505, 702?

We can find the highest common divisor of 840, 872, 505, 702 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, 872, 505, 702 i.e 1.


3. How can I use the GCD of 840, 872, 505, 702Calculator?

Out the numbers 840, 872, 505, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.