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GCD of 660, 534, 692, 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 660, 534, 692, 702 quickly. Get the easiest ways to solve the greatest common divisor of 660, 534, 692, 702 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 534, 692, 702 with Factoring?

Given Input numbers are 660, 534, 692, 702

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

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 (660, 534, 692, 702) = 2.

Find GCD of 660, 534, 692, 702 using Prime Factorization

Given numbers are 660, 534, 692, 702

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 534 are 2 x 3 x 89

Prime factors of 692 are 2 x 2 x 173

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

The highest common occurrence is 21

Therefore, GCD of 660, 534, 692, 702 is 2.

Steps to Calculate GCD of 660, 534, 692, 702 using LCM Formula

Given numbers are 660, 534, 692, 702

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

Apply this formula for all numbers.

Step1:

LCM(660, 534) = 58740

GCD(660, 534) = ( 660 x 534 ) / 58740

= 660 / 534

= 660


Step2:

LCM(6, 692) = 2076

GCD(6, 692) = ( 6 x 692 ) / 2076

= 6 / 692

= 6


Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2


So, Greatest Common Divisor of 660, 534, 692, 702 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 534, 692, 702

Given numbers are 660, 534, 692, 702
The greatest common divisor of numbers 660, 534, 692, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 534, 692, 702 is 2.

FAQs on GCD of 660, 534, 692, 702 Calculator

1. What is the GCD of 660, 534, 692, 702?

GCD of given numbers 660, 534, 692, 702 is 2


2. How to calculate the greatest common divisor of 660, 534, 692, 702?

We can find the highest common divisor of 660, 534, 692, 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 660, 534, 692, 702 i.e 2.


3. How can I use the GCD of 660, 534, 692, 702Calculator?

Out the numbers 660, 534, 692, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.