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GCD of 897, 168, 708, 429 Calculator

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


Online GCD Calculator is useful to find the GCD of 897, 168, 708, 429 quickly. Get the easiest ways to solve the greatest common divisor of 897, 168, 708, 429 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 897, 168, 708, 429 with Factoring?

Given Input numbers are 897, 168, 708, 429

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429


GCD of numbers is the greatest common divisor

So, the GCD (897, 168, 708, 429) = 3.

Find GCD of 897, 168, 708, 429 using Prime Factorization

Given numbers are 897, 168, 708, 429

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 429 are 3 x 11 x 13

The highest common occurrence is 31

Therefore, GCD of 897, 168, 708, 429 is 3.

Steps to Calculate GCD of 897, 168, 708, 429 using LCM Formula

Given numbers are 897, 168, 708, 429

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

Apply this formula for all numbers.

Step1:

LCM(897, 168) = 50232

GCD(897, 168) = ( 897 x 168 ) / 50232

= 897 / 168

= 897


Step2:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3


Step3:

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

= 3 / 429

= 3


So, Greatest Common Divisor of 897, 168, 708, 429 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 897, 168, 708, 429

Given numbers are 897, 168, 708, 429
The greatest common divisor of numbers 897, 168, 708, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 168, 708, 429 is 3.

FAQs on GCD of 897, 168, 708, 429 Calculator

1. What is the GCD of 897, 168, 708, 429?

GCD of given numbers 897, 168, 708, 429 is 3


2. How to calculate the greatest common divisor of 897, 168, 708, 429?

We can find the highest common divisor of 897, 168, 708, 429 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 897, 168, 708, 429 i.e 3.


3. How can I use the GCD of 897, 168, 708, 429Calculator?

Out the numbers 897, 168, 708, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.