Greatest Common Factor of 41/48, 61/97, 500/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/48, 61/97, 500/133

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 41/48,61/97,500/133

Given fractions are 41/48,61/97,500/133

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 41,61,500

Greatest Common Factor of Numerators i.e. GCF of 41,61,500 is 1 .

LCM of Denominators means LCM of 48,97,133 as per the given fractions.

LCM of 48,97,133 is 619248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,61,500

GCF of Fractions 41/48,61/97,500/133 is 1/619248

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

Greatest Common Factor of 41,61,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,61,500 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 41,61,500 . The biggest common factor number is the GCF number.
So the greatest common factor 41,61,500 is 1.

Lets's calculate LCM of 48,97,133

Given numbers has no common factors except 1. So, there LCM is their product i.e 619248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/619248

Therefore, the GCF of Fractions 41/48,61/97,500/133 is 1/619248

Least Common Multiple of 48,97,133 with GCF Formula

Least Common Multiple of 48,97,133 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 48,97,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,97,133) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(48,97,133) x common factors =1 x 1 = 1

LCM(48,97,133) = ( 48 × 97 × 133 ) / 1

LCM(48,97,133) = 619248 / 1

LCM(48,97,133) = 619248


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 41/48, 61/97, 500/133

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 41/48, 61/97, 500/133?

Answer: GCF of Numerators as per given numbers 41/48, 61/97, 500/133 is

GCF of Numerators i.e. for 41,61,500 is 1

LCM of denominators i.e. for 48,97,133 is 619248.

Thus, GCF of Fractions is 1/619248.Finally, GCF of Fractions for 41/48, 61/97, 500/133 is 1/619248.