Greatest Common Factor of 9687/359, 1723/1776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9687/359, 1723/1776

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9687/359,1723/1776

Given fractions are 9687/359,1723/1776

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9687,1723

Greatest Common Factor of Numerators i.e. GCF of 9687,1723 is 1 .

LCM of Denominators means LCM of 359,1776 as per the given fractions.

LCM of 359,1776 is 637584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9687,1723

GCF of Fractions 9687/359,1723/1776 is 1/637584

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9687,1723 By Matching Biggest Common Factor Method

Greatest Common Factor of 9687,1723 By Matching Biggest Common Factor Method

Factors of 9687

List of positive integer factors of 9687 that divides 9687 without a remainder.

1,3,3229,9687

Factors of 1723

List of positive integer factors of 1723 that divides 1723 without a remainder.

1,1723

Greatest Common Factor

We found the factors 9687,1723 . The biggest common factor number is the GCF number.
So the greatest common factor 9687,1723 is 1.

Lets's calculate LCM of 359,1776

Given numbers has no common factors except 1. So, there LCM is their product i.e 637584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637584

Therefore, the GCF of Fractions 9687/359,1723/1776 is 1/637584

Least Common Multiple of 359,1776 with GCF Formula

Least Common Multiple of 359,1776 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 359,1776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,1776) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(359,1776) x common factors =1 x 1 = 1

LCM(359,1776) = ( 359 × 1776 ) / 1

LCM(359,1776) = 637584 / 1

LCM(359,1776) = 637584


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9687/359, 1723/1776

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9687/359, 1723/1776?

Answer: GCF of Numerators as per given numbers 9687/359, 1723/1776 is

GCF of Numerators i.e. for 9687,1723 is 1

LCM of denominators i.e. for 359,1776 is 637584.

Thus, GCF of Fractions is 1/637584.Finally, GCF of Fractions for 9687/359, 1723/1776 is 1/637584.