Greatest Common Factor of 354/73, 352/41, 917/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 354/73, 352/41, 917/96

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 354/73,352/41,917/96

Given fractions are 354/73,352/41,917/96

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 354,352,917

Greatest Common Factor of Numerators i.e. GCF of 354,352,917 is 1 .

LCM of Denominators means LCM of 73,41,96 as per the given fractions.

LCM of 73,41,96 is 287328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 354,352,917

GCF of Fractions 354/73,352/41,917/96 is 1/287328

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

Greatest Common Factor of 354,352,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,352,917 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 354,352,917 . The biggest common factor number is the GCF number.
So the greatest common factor 354,352,917 is 1.

Lets's calculate LCM of 73,41,96

Given numbers has no common factors except 1. So, there LCM is their product i.e 287328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287328

Therefore, the GCF of Fractions 354/73,352/41,917/96 is 1/287328

Least Common Multiple of 73,41,96 with GCF Formula

Least Common Multiple of 73,41,96 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 73,41,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,41,96) = 1

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

GCF(73,41,96) x common factors =1 x 1 = 1

LCM(73,41,96) = ( 73 × 41 × 96 ) / 1

LCM(73,41,96) = 287328 / 1

LCM(73,41,96) = 287328


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 354/73, 352/41, 917/96

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 354/73, 352/41, 917/96?

Answer: GCF of Numerators as per given numbers 354/73, 352/41, 917/96 is

GCF of Numerators i.e. for 354,352,917 is 1

LCM of denominators i.e. for 73,41,96 is 287328.

Thus, GCF of Fractions is 1/287328.Finally, GCF of Fractions for 354/73, 352/41, 917/96 is 1/287328.