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GCD of 700, 835, 922, 270 Calculator

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


Online GCD Calculator is useful to find the GCD of 700, 835, 922, 270 quickly. Get the easiest ways to solve the greatest common divisor of 700, 835, 922, 270 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 835, 922, 270 with Factoring?

Given Input numbers are 700, 835, 922, 270

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

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 835 :

The positive integer divisors of 835 that completely divides 835 are.

1, 5, 167, 835

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270


GCD of numbers is the greatest common divisor

So, the GCD (700, 835, 922, 270) = 1.

Find GCD of 700, 835, 922, 270 using Prime Factorization

Given numbers are 700, 835, 922, 270

The list of prime factors of all numbers are

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

Prime factors of 835 are 5 x 167

Prime factors of 922 are 2 x 461

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Steps to Calculate GCD of 700, 835, 922, 270 using LCM Formula

Given numbers are 700, 835, 922, 270

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

Apply this formula for all numbers.

Step1:

LCM(700, 835) = 116900

GCD(700, 835) = ( 700 x 835 ) / 116900

= 700 / 835

= 700


Step2:

LCM(5, 922) = 4610

GCD(5, 922) = ( 5 x 922 ) / 4610

= 5 / 922

= 5


Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1


So, Greatest Common Divisor of 700, 835, 922, 270 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 835, 922, 270

Given numbers are 700, 835, 922, 270
The greatest common divisor of numbers 700, 835, 922, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 835, 922, 270 is 1.

FAQs on GCD of 700, 835, 922, 270 Calculator

1. What is the GCD of 700, 835, 922, 270?

GCD of given numbers 700, 835, 922, 270 is 1


2. How to calculate the greatest common divisor of 700, 835, 922, 270?

We can find the highest common divisor of 700, 835, 922, 270 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 700, 835, 922, 270 i.e 1.


3. How can I use the GCD of 700, 835, 922, 270Calculator?

Out the numbers 700, 835, 922, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.