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GCD of 702, 160, 680, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 702, 160, 680, 672 quickly. Get the easiest ways to solve the greatest common divisor of 702, 160, 680, 672 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 702, 160, 680, 672 with Factoring?

Given Input numbers are 702, 160, 680, 672

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

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672


GCD of numbers is the greatest common divisor

So, the GCD (702, 160, 680, 672) = 2.

Find GCD of 702, 160, 680, 672 using Prime Factorization

Given numbers are 702, 160, 680, 672

The list of prime factors of all numbers are

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 702, 160, 680, 672 is 2.

Steps to Calculate GCD of 702, 160, 680, 672 using LCM Formula

Given numbers are 702, 160, 680, 672

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

Apply this formula for all numbers.

Step1:

LCM(702, 160) = 56160

GCD(702, 160) = ( 702 x 160 ) / 56160

= 702 / 160

= 702


Step2:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2


Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2


So, Greatest Common Divisor of 702, 160, 680, 672 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 702, 160, 680, 672

Given numbers are 702, 160, 680, 672
The greatest common divisor of numbers 702, 160, 680, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 160, 680, 672 is 2.

FAQs on GCD of 702, 160, 680, 672 Calculator

1. What is the GCD of 702, 160, 680, 672?

GCD of given numbers 702, 160, 680, 672 is 2


2. How to calculate the greatest common divisor of 702, 160, 680, 672?

We can find the highest common divisor of 702, 160, 680, 672 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 702, 160, 680, 672 i.e 2.


3. How can I use the GCD of 702, 160, 680, 672Calculator?

Out the numbers 702, 160, 680, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.