Greatest Common Factor of 17/74, 97/80, 14/60, 742/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/74, 97/80, 14/60, 742/49

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 17/74,97/80,14/60,742/49

Given fractions are 17/74,97/80,14/60,742/49

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 17,97,14,742

Greatest Common Factor of Numerators i.e. GCF of 17,97,14,742 is 1 .

LCM of Denominators means LCM of 74,80,60,49 as per the given fractions.

LCM of 74,80,60,49 is 435120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,97,14,742

GCF of Fractions 17/74,97/80,14/60,742/49 is 1/435120

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

Greatest Common Factor of 17,97,14,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,97,14,742 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 17,97,14,742 . The biggest common factor number is the GCF number.
So the greatest common factor 17,97,14,742 is 1.

Lets's calculate LCM of 74,80,60,49

2 74, 80, 60, 49
2 37, 40, 30, 49
5 37, 20, 15, 49
37, 4, 3, 49

∴ So the LCM of the given numbers is 2 x 2 x 5 x 37 x 4 x 3 x 49 = 435120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435120

Therefore, the GCF of Fractions 17/74,97/80,14/60,742/49 is 1/435120

Least Common Multiple of 74,80,60,49 with GCF Formula

Least Common Multiple of 74,80,60,49 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 74,80,60,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,80,60,49) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(74,80,60,49) x common factors =1 x 40 = 40

LCM(74,80,60,49) = ( 74 × 80 × 60 × 49 ) / 40

LCM(74,80,60,49) = 17404800 / 40

LCM(74,80,60,49) = 435120


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 17/74, 97/80, 14/60, 742/49

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 17/74, 97/80, 14/60, 742/49?

Answer: GCF of Numerators as per given numbers 17/74, 97/80, 14/60, 742/49 is

GCF of Numerators i.e. for 17,97,14,742 is 1

LCM of denominators i.e. for 74,80,60,49 is 435120.

Thus, GCF of Fractions is 1/435120.Finally, GCF of Fractions for 17/74, 97/80, 14/60, 742/49 is 1/435120.