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GCD of 700, 848, 798, 664 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, 848, 798, 664 quickly. Get the easiest ways to solve the greatest common divisor of 700, 848, 798, 664 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 848, 798, 664 with Factoring?

Given Input numbers are 700, 848, 798, 664

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 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664


GCD of numbers is the greatest common divisor

So, the GCD (700, 848, 798, 664) = 2.

Find GCD of 700, 848, 798, 664 using Prime Factorization

Given numbers are 700, 848, 798, 664

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 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 664 are 2 x 2 x 2 x 83

The highest common occurrence is 21

Therefore, GCD of 700, 848, 798, 664 is 2.

Steps to Calculate GCD of 700, 848, 798, 664 using LCM Formula

Given numbers are 700, 848, 798, 664

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

Apply this formula for all numbers.

Step1:

LCM(700, 848) = 148400

GCD(700, 848) = ( 700 x 848 ) / 148400

= 700 / 848

= 700


Step2:

LCM(4, 798) = 1596

GCD(4, 798) = ( 4 x 798 ) / 1596

= 4 / 798

= 4


Step3:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2


So, Greatest Common Divisor of 700, 848, 798, 664 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 848, 798, 664

Given numbers are 700, 848, 798, 664
The greatest common divisor of numbers 700, 848, 798, 664 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 848, 798, 664 is 2.

FAQs on GCD of 700, 848, 798, 664 Calculator

1. What is the GCD of 700, 848, 798, 664?

GCD of given numbers 700, 848, 798, 664 is 2


2. How to calculate the greatest common divisor of 700, 848, 798, 664?

We can find the highest common divisor of 700, 848, 798, 664 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, 848, 798, 664 i.e 2.


3. How can I use the GCD of 700, 848, 798, 664Calculator?

Out the numbers 700, 848, 798, 664 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.