Greatest Common Factor of 49/21, 52/45, 78/27, 60/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/21, 52/45, 78/27, 60/185

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 49/21,52/45,78/27,60/185

Given fractions are 49/21,52/45,78/27,60/185

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 49,52,78,60

Greatest Common Factor of Numerators i.e. GCF of 49,52,78,60 is 1 .

LCM of Denominators means LCM of 21,45,27,185 as per the given fractions.

LCM of 21,45,27,185 is 34965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,52,78,60

GCF of Fractions 49/21,52/45,78/27,60/185 is 1/34965

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

Greatest Common Factor of 49,52,78,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,52,78,60 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 49,52,78,60 . The biggest common factor number is the GCF number.
So the greatest common factor 49,52,78,60 is 1.

Lets's calculate LCM of 21,45,27,185

3 21, 45, 27, 185
3 7, 15, 9, 185
5 7, 5, 3, 185
7, 1, 3, 37

∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 1 x 3 x 37 = 34965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34965

Therefore, the GCF of Fractions 49/21,52/45,78/27,60/185 is 1/34965

Least Common Multiple of 21,45,27,185 with GCF Formula

Least Common Multiple of 21,45,27,185 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 21,45,27,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,45,27,185) = 1

common factors(in case of two or more numbers have common factors) = 135

GCF(21,45,27,185) x common factors =1 x 135 = 135

LCM(21,45,27,185) = ( 21 × 45 × 27 × 185 ) / 135

LCM(21,45,27,185) = 4720275 / 135

LCM(21,45,27,185) = 34965


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 49/21, 52/45, 78/27, 60/185

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 49/21, 52/45, 78/27, 60/185?

Answer: GCF of Numerators as per given numbers 49/21, 52/45, 78/27, 60/185 is

GCF of Numerators i.e. for 49,52,78,60 is 1

LCM of denominators i.e. for 21,45,27,185 is 34965.

Thus, GCF of Fractions is 1/34965.Finally, GCF of Fractions for 49/21, 52/45, 78/27, 60/185 is 1/34965.