Greatest Common Factor of 53/49, 30/84, 154/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/49, 30/84, 154/186

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 53/49,30/84,154/186

Given fractions are 53/49,30/84,154/186

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 53,30,154

Greatest Common Factor of Numerators i.e. GCF of 53,30,154 is 1 .

LCM of Denominators means LCM of 49,84,186 as per the given fractions.

LCM of 49,84,186 is 18228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,30,154

GCF of Fractions 53/49,30/84,154/186 is 1/18228

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

Greatest Common Factor of 53,30,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,30,154 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 53,30,154 . The biggest common factor number is the GCF number.
So the greatest common factor 53,30,154 is 1.

Lets's calculate LCM of 49,84,186

2 49, 84, 186
3 49, 42, 93
7 49, 14, 31
7, 2, 31

∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 2 x 31 = 18228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18228

Therefore, the GCF of Fractions 53/49,30/84,154/186 is 1/18228

Least Common Multiple of 49,84,186 with GCF Formula

Least Common Multiple of 49,84,186 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 49,84,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,84,186) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(49,84,186) x common factors =1 x 42 = 42

LCM(49,84,186) = ( 49 × 84 × 186 ) / 42

LCM(49,84,186) = 765576 / 42

LCM(49,84,186) = 18228


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 53/49, 30/84, 154/186

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 53/49, 30/84, 154/186?

Answer: GCF of Numerators as per given numbers 53/49, 30/84, 154/186 is

GCF of Numerators i.e. for 53,30,154 is 1

LCM of denominators i.e. for 49,84,186 is 18228.

Thus, GCF of Fractions is 1/18228.Finally, GCF of Fractions for 53/49, 30/84, 154/186 is 1/18228.