Greatest Common Factor of 63/68, 42/66, 202/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/68, 42/66, 202/878

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 63/68,42/66,202/878

Given fractions are 63/68,42/66,202/878

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 63,42,202

Greatest Common Factor of Numerators i.e. GCF of 63,42,202 is 1 .

LCM of Denominators means LCM of 68,66,878 as per the given fractions.

LCM of 68,66,878 is 985116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,42,202

GCF of Fractions 63/68,42/66,202/878 is 1/985116

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

Greatest Common Factor of 63,42,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,42,202 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

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 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 63,42,202 . The biggest common factor number is the GCF number.
So the greatest common factor 63,42,202 is 1.

Lets's calculate LCM of 68,66,878

2 68, 66, 878
34, 33, 439

∴ So the LCM of the given numbers is 2 x 34 x 33 x 439 = 985116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/985116

Therefore, the GCF of Fractions 63/68,42/66,202/878 is 1/985116

Least Common Multiple of 68,66,878 with GCF Formula

Least Common Multiple of 68,66,878 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 68,66,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,66,878) = 2

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

GCF(68,66,878) x common factors =2 x 2 = 4

LCM(68,66,878) = ( 68 × 66 × 878 ) / 4

LCM(68,66,878) = 3940464 / 4

LCM(68,66,878) = 985116


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 63/68, 42/66, 202/878

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 63/68, 42/66, 202/878?

Answer: GCF of Numerators as per given numbers 63/68, 42/66, 202/878 is

GCF of Numerators i.e. for 63,42,202 is 1

LCM of denominators i.e. for 68,66,878 is 985116.

Thus, GCF of Fractions is 1/985116.Finally, GCF of Fractions for 63/68, 42/66, 202/878 is 1/985116.