Greatest Common Factor of 70/47, 53/15, 184/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/47, 53/15, 184/245

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 70/47,53/15,184/245

Given fractions are 70/47,53/15,184/245

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 70,53,184

Greatest Common Factor of Numerators i.e. GCF of 70,53,184 is 1 .

LCM of Denominators means LCM of 47,15,245 as per the given fractions.

LCM of 47,15,245 is 34545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,53,184

GCF of Fractions 70/47,53/15,184/245 is 1/34545

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

Greatest Common Factor of 70,53,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,53,184 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 53

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

1,53

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 70,53,184 . The biggest common factor number is the GCF number.
So the greatest common factor 70,53,184 is 1.

Lets's calculate LCM of 47,15,245

5 47, 15, 245
47, 3, 49

∴ So the LCM of the given numbers is 5 x 47 x 3 x 49 = 34545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34545

Therefore, the GCF of Fractions 70/47,53/15,184/245 is 1/34545

Least Common Multiple of 47,15,245 with GCF Formula

Least Common Multiple of 47,15,245 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 47,15,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,15,245) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(47,15,245) x common factors =1 x 5 = 5

LCM(47,15,245) = ( 47 × 15 × 245 ) / 5

LCM(47,15,245) = 172725 / 5

LCM(47,15,245) = 34545


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 70/47, 53/15, 184/245

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 70/47, 53/15, 184/245?

Answer: GCF of Numerators as per given numbers 70/47, 53/15, 184/245 is

GCF of Numerators i.e. for 70,53,184 is 1

LCM of denominators i.e. for 47,15,245 is 34545.

Thus, GCF of Fractions is 1/34545.Finally, GCF of Fractions for 70/47, 53/15, 184/245 is 1/34545.