Greatest Common Factor of 4867/50, 4741/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4867/50, 4741/776

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 4867/50,4741/776

Given fractions are 4867/50,4741/776

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 4867,4741

Greatest Common Factor of Numerators i.e. GCF of 4867,4741 is 1 .

LCM of Denominators means LCM of 50,776 as per the given fractions.

LCM of 50,776 is 19400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4867,4741

GCF of Fractions 4867/50,4741/776 is 1/19400

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

Greatest Common Factor of 4867,4741 By Matching Biggest Common Factor Method

Greatest Common Factor of 4867,4741 By Matching Biggest Common Factor Method

Factors of 4867

List of positive integer factors of 4867 that divides 4867 without a remainder.

1,31,157,4867

Factors of 4741

List of positive integer factors of 4741 that divides 4741 without a remainder.

1,11,431,4741

Greatest Common Factor

We found the factors 4867,4741 . The biggest common factor number is the GCF number.
So the greatest common factor 4867,4741 is 1.

Lets's calculate LCM of 50,776

2 50, 776
25, 388

∴ So the LCM of the given numbers is 2 x 25 x 388 = 19400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19400

Therefore, the GCF of Fractions 4867/50,4741/776 is 1/19400

Least Common Multiple of 50,776 with GCF Formula

Least Common Multiple of 50,776 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 50,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,776) = 2

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

GCF(50,776) x common factors =2 x 1 = 2

LCM(50,776) = ( 50 × 776 ) / 2

LCM(50,776) = 38800 / 2

LCM(50,776) = 19400


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 4867/50, 4741/776

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 4867/50, 4741/776?

Answer: GCF of Numerators as per given numbers 4867/50, 4741/776 is

GCF of Numerators i.e. for 4867,4741 is 1

LCM of denominators i.e. for 50,776 is 19400.

Thus, GCF of Fractions is 1/19400.Finally, GCF of Fractions for 4867/50, 4741/776 is 1/19400.