Greatest Common Factor of 99/47, 74/15, 148/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/47, 74/15, 148/513

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 99/47,74/15,148/513

Given fractions are 99/47,74/15,148/513

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 99,74,148

Greatest Common Factor of Numerators i.e. GCF of 99,74,148 is 1 .

LCM of Denominators means LCM of 47,15,513 as per the given fractions.

LCM of 47,15,513 is 120555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,74,148

GCF of Fractions 99/47,74/15,148/513 is 1/120555

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

Greatest Common Factor of 99,74,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,74,148 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 99,74,148 . The biggest common factor number is the GCF number.
So the greatest common factor 99,74,148 is 1.

Lets's calculate LCM of 47,15,513

3 47, 15, 513
47, 5, 171

∴ So the LCM of the given numbers is 3 x 47 x 5 x 171 = 120555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120555

Therefore, the GCF of Fractions 99/47,74/15,148/513 is 1/120555

Least Common Multiple of 47,15,513 with GCF Formula

Least Common Multiple of 47,15,513 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 47,15,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,15,513) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(47,15,513) x common factors =1 x 3 = 3

LCM(47,15,513) = ( 47 × 15 × 513 ) / 3

LCM(47,15,513) = 361665 / 3

LCM(47,15,513) = 120555


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 99/47, 74/15, 148/513

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 99/47, 74/15, 148/513?

Answer: GCF of Numerators as per given numbers 99/47, 74/15, 148/513 is

GCF of Numerators i.e. for 99,74,148 is 1

LCM of denominators i.e. for 47,15,513 is 120555.

Thus, GCF of Fractions is 1/120555.Finally, GCF of Fractions for 99/47, 74/15, 148/513 is 1/120555.