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GCD of 700, 782, 841, 653 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, 782, 841, 653 quickly. Get the easiest ways to solve the greatest common divisor of 700, 782, 841, 653 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 782, 841, 653 with Factoring?

Given Input numbers are 700, 782, 841, 653

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 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 841 :

The positive integer divisors of 841 that completely divides 841 are.

1, 29, 841

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653


GCD of numbers is the greatest common divisor

So, the GCD (700, 782, 841, 653) = 1.

Find GCD of 700, 782, 841, 653 using Prime Factorization

Given numbers are 700, 782, 841, 653

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 782 are 2 x 17 x 23

Prime factors of 841 are 29 x 29

Prime factors of 653 are 653

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

Steps to Calculate GCD of 700, 782, 841, 653 using LCM Formula

Given numbers are 700, 782, 841, 653

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

Apply this formula for all numbers.

Step1:

LCM(700, 782) = 273700

GCD(700, 782) = ( 700 x 782 ) / 273700

= 700 / 782

= 700


Step2:

LCM(2, 841) = 1682

GCD(2, 841) = ( 2 x 841 ) / 1682

= 2 / 841

= 2


Step3:

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

= 1 / 653

= 1


So, Greatest Common Divisor of 700, 782, 841, 653 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 782, 841, 653

Given numbers are 700, 782, 841, 653
The greatest common divisor of numbers 700, 782, 841, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 782, 841, 653 is 1.

FAQs on GCD of 700, 782, 841, 653 Calculator

1. What is the GCD of 700, 782, 841, 653?

GCD of given numbers 700, 782, 841, 653 is 1


2. How to calculate the greatest common divisor of 700, 782, 841, 653?

We can find the highest common divisor of 700, 782, 841, 653 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, 782, 841, 653 i.e 1.


3. How can I use the GCD of 700, 782, 841, 653Calculator?

Out the numbers 700, 782, 841, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.