Greatest Common Factor of 3/74, 95/49, 42/353, 874/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/74, 95/49, 42/353, 874/360

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 3/74,95/49,42/353,874/360

Given fractions are 3/74,95/49,42/353,874/360

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 3,95,42,874

Greatest Common Factor of Numerators i.e. GCF of 3,95,42,874 is 1 .

LCM of Denominators means LCM of 74,49,353,360 as per the given fractions.

LCM of 74,49,353,360 is 230396040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,95,42,874

GCF of Fractions 3/74,95/49,42/353,874/360 is 1/230396040

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

Greatest Common Factor of 3,95,42,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,95,42,874 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 3,95,42,874 . The biggest common factor number is the GCF number.
So the greatest common factor 3,95,42,874 is 1.

Lets's calculate LCM of 74,49,353,360

2 74, 49, 353, 360
37, 49, 353, 180

∴ So the LCM of the given numbers is 2 x 37 x 49 x 353 x 180 = 230396040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230396040

Therefore, the GCF of Fractions 3/74,95/49,42/353,874/360 is 1/230396040

Least Common Multiple of 74,49,353,360 with GCF Formula

Least Common Multiple of 74,49,353,360 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 74,49,353,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,49,353,360) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,49,353,360) x common factors =1 x 2 = 2

LCM(74,49,353,360) = ( 74 × 49 × 353 × 360 ) / 2

LCM(74,49,353,360) = 460792080 / 2

LCM(74,49,353,360) = 230396040


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 3/74, 95/49, 42/353, 874/360

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 3/74, 95/49, 42/353, 874/360?

Answer: GCF of Numerators as per given numbers 3/74, 95/49, 42/353, 874/360 is

GCF of Numerators i.e. for 3,95,42,874 is 1

LCM of denominators i.e. for 74,49,353,360 is 230396040.

Thus, GCF of Fractions is 1/230396040.Finally, GCF of Fractions for 3/74, 95/49, 42/353, 874/360 is 1/230396040.