Greatest Common Factor of 45/84, 63/94, 126/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/84, 63/94, 126/77

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 45/84,63/94,126/77

Given fractions are 45/84,63/94,126/77

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 45,63,126

Greatest Common Factor of Numerators i.e. GCF of 45,63,126 is 9 .

LCM of Denominators means LCM of 84,94,77 as per the given fractions.

LCM of 84,94,77 is 43428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,63,126

GCF of Fractions 45/84,63/94,126/77 is 9/43428

3 45, 63, 126
3 15, 21, 42
5, 7, 14

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 45,63,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,63,126 By Matching Biggest Common Factor Method

Factors of 45

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

1,3,5,9,15,45

Factors of 63

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

1,3,7,9,21,63

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 45,63,126 . The biggest common factor number is the GCF number.
So the greatest common factor 45,63,126 is 9.

Lets's calculate LCM of 84,94,77

2 84, 94, 77
7 42, 47, 77
6, 47, 11

∴ So the LCM of the given numbers is 2 x 7 x 6 x 47 x 11 = 43428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/43428

Therefore, the GCF of Fractions 45/84,63/94,126/77 is 9/43428

Least Common Multiple of 84,94,77 with GCF Formula

Least Common Multiple of 84,94,77 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 84,94,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,94,77) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(84,94,77) x common factors =1 x 14 = 14

LCM(84,94,77) = ( 84 × 94 × 77 ) / 14

LCM(84,94,77) = 607992 / 14

LCM(84,94,77) = 43428


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 45/84, 63/94, 126/77

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 45/84, 63/94, 126/77?

Answer: GCF of Numerators as per given numbers 45/84, 63/94, 126/77 is

GCF of Numerators i.e. for 45,63,126 is 9

LCM of denominators i.e. for 84,94,77 is 43428.

Thus, GCF of Fractions is 9/43428.Finally, GCF of Fractions for 45/84, 63/94, 126/77 is 9/43428.