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GCD of 898, 674, 975, 691 Calculator

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


Online GCD Calculator is useful to find the GCD of 898, 674, 975, 691 quickly. Get the easiest ways to solve the greatest common divisor of 898, 674, 975, 691 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 898, 674, 975, 691 with Factoring?

Given Input numbers are 898, 674, 975, 691

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

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691


GCD of numbers is the greatest common divisor

So, the GCD (898, 674, 975, 691) = 1.

Find GCD of 898, 674, 975, 691 using Prime Factorization

Given numbers are 898, 674, 975, 691

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 674 are 2 x 337

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 691 are 691

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

Steps to Calculate GCD of 898, 674, 975, 691 using LCM Formula

Given numbers are 898, 674, 975, 691

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

Apply this formula for all numbers.

Step1:

LCM(898, 674) = 302626

GCD(898, 674) = ( 898 x 674 ) / 302626

= 898 / 674

= 898


Step2:

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

= 2 / 975

= 2


Step3:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1


So, Greatest Common Divisor of 898, 674, 975, 691 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 898, 674, 975, 691

Given numbers are 898, 674, 975, 691
The greatest common divisor of numbers 898, 674, 975, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 674, 975, 691 is 1.

FAQs on GCD of 898, 674, 975, 691 Calculator

1. What is the GCD of 898, 674, 975, 691?

GCD of given numbers 898, 674, 975, 691 is 1


2. How to calculate the greatest common divisor of 898, 674, 975, 691?

We can find the highest common divisor of 898, 674, 975, 691 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 898, 674, 975, 691 i.e 1.


3. How can I use the GCD of 898, 674, 975, 691Calculator?

Out the numbers 898, 674, 975, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.