Greatest Common Factor of 1749/354, 9217/5378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1749/354, 9217/5378

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 1749/354,9217/5378

Given fractions are 1749/354,9217/5378

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 1749,9217

Greatest Common Factor of Numerators i.e. GCF of 1749,9217 is 1 .

LCM of Denominators means LCM of 354,5378 as per the given fractions.

LCM of 354,5378 is 951906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1749,9217

GCF of Fractions 1749/354,9217/5378 is 1/951906

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

Greatest Common Factor of 1749,9217 By Matching Biggest Common Factor Method

Greatest Common Factor of 1749,9217 By Matching Biggest Common Factor Method

Factors of 1749

List of positive integer factors of 1749 that divides 1749 without a remainder.

1,3,11,33,53,159,583,1749

Factors of 9217

List of positive integer factors of 9217 that divides 9217 without a remainder.

1,13,709,9217

Greatest Common Factor

We found the factors 1749,9217 . The biggest common factor number is the GCF number.
So the greatest common factor 1749,9217 is 1.

Lets's calculate LCM of 354,5378

2 354, 5378
177, 2689

∴ So the LCM of the given numbers is 2 x 177 x 2689 = 951906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/951906

Therefore, the GCF of Fractions 1749/354,9217/5378 is 1/951906

Least Common Multiple of 354,5378 with GCF Formula

Least Common Multiple of 354,5378 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 354,5378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,5378) = 2

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

GCF(354,5378) x common factors =2 x 1 = 2

LCM(354,5378) = ( 354 × 5378 ) / 2

LCM(354,5378) = 1903812 / 2

LCM(354,5378) = 951906


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 1749/354, 9217/5378

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 1749/354, 9217/5378?

Answer: GCF of Numerators as per given numbers 1749/354, 9217/5378 is

GCF of Numerators i.e. for 1749,9217 is 1

LCM of denominators i.e. for 354,5378 is 951906.

Thus, GCF of Fractions is 1/951906.Finally, GCF of Fractions for 1749/354, 9217/5378 is 1/951906.