Greatest Common Factor of 21/74, 45/14, 199/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/74, 45/14, 199/368

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 21/74,45/14,199/368

Given fractions are 21/74,45/14,199/368

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 21,45,199

Greatest Common Factor of Numerators i.e. GCF of 21,45,199 is 1 .

LCM of Denominators means LCM of 74,14,368 as per the given fractions.

LCM of 74,14,368 is 95312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,45,199

GCF of Fractions 21/74,45/14,199/368 is 1/95312

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

Greatest Common Factor of 21,45,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,45,199 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 21,45,199 . The biggest common factor number is the GCF number.
So the greatest common factor 21,45,199 is 1.

Lets's calculate LCM of 74,14,368

2 74, 14, 368
37, 7, 184

∴ So the LCM of the given numbers is 2 x 37 x 7 x 184 = 95312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95312

Therefore, the GCF of Fractions 21/74,45/14,199/368 is 1/95312

Least Common Multiple of 74,14,368 with GCF Formula

Least Common Multiple of 74,14,368 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 74,14,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,14,368) = 2

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

GCF(74,14,368) x common factors =2 x 2 = 4

LCM(74,14,368) = ( 74 × 14 × 368 ) / 4

LCM(74,14,368) = 381248 / 4

LCM(74,14,368) = 95312


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 21/74, 45/14, 199/368

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 21/74, 45/14, 199/368?

Answer: GCF of Numerators as per given numbers 21/74, 45/14, 199/368 is

GCF of Numerators i.e. for 21,45,199 is 1

LCM of denominators i.e. for 74,14,368 is 95312.

Thus, GCF of Fractions is 1/95312.Finally, GCF of Fractions for 21/74, 45/14, 199/368 is 1/95312.