Greatest Common Factor of 174/77, 100/91, 319/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 174/77, 100/91, 319/549

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 174/77,100/91,319/549

Given fractions are 174/77,100/91,319/549

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 174,100,319

Greatest Common Factor of Numerators i.e. GCF of 174,100,319 is 1 .

LCM of Denominators means LCM of 77,91,549 as per the given fractions.

LCM of 77,91,549 is 549549 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 174,100,319

GCF of Fractions 174/77,100/91,319/549 is 1/549549

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

Greatest Common Factor of 174,100,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,100,319 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 174,100,319 . The biggest common factor number is the GCF number.
So the greatest common factor 174,100,319 is 1.

Lets's calculate LCM of 77,91,549

7 77, 91, 549
11, 13, 549

∴ So the LCM of the given numbers is 7 x 11 x 13 x 549 = 549549

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549549

Therefore, the GCF of Fractions 174/77,100/91,319/549 is 1/549549

Least Common Multiple of 77,91,549 with GCF Formula

Least Common Multiple of 77,91,549 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 77,91,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,91,549) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,91,549) x common factors =1 x 7 = 7

LCM(77,91,549) = ( 77 × 91 × 549 ) / 7

LCM(77,91,549) = 3846843 / 7

LCM(77,91,549) = 549549


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 174/77, 100/91, 319/549

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 174/77, 100/91, 319/549?

Answer: GCF of Numerators as per given numbers 174/77, 100/91, 319/549 is

GCF of Numerators i.e. for 174,100,319 is 1

LCM of denominators i.e. for 77,91,549 is 549549.

Thus, GCF of Fractions is 1/549549.Finally, GCF of Fractions for 174/77, 100/91, 319/549 is 1/549549.