Greatest Common Factor of 4841/508, 8350/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4841/508, 8350/584

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 4841/508,8350/584

Given fractions are 4841/508,8350/584

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 4841,8350

Greatest Common Factor of Numerators i.e. GCF of 4841,8350 is 1 .

LCM of Denominators means LCM of 508,584 as per the given fractions.

LCM of 508,584 is 74168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4841,8350

GCF of Fractions 4841/508,8350/584 is 1/74168

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

Greatest Common Factor of 4841,8350 By Matching Biggest Common Factor Method

Greatest Common Factor of 4841,8350 By Matching Biggest Common Factor Method

Factors of 4841

List of positive integer factors of 4841 that divides 4841 without a remainder.

1,47,103,4841

Factors of 8350

List of positive integer factors of 8350 that divides 8350 without a remainder.

1,2,5,10,25,50,167,334,835,1670,4175,8350

Greatest Common Factor

We found the factors 4841,8350 . The biggest common factor number is the GCF number.
So the greatest common factor 4841,8350 is 1.

Lets's calculate LCM of 508,584

2 508, 584
2 254, 292
127, 146

∴ So the LCM of the given numbers is 2 x 2 x 127 x 146 = 74168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74168

Therefore, the GCF of Fractions 4841/508,8350/584 is 1/74168

Least Common Multiple of 508,584 with GCF Formula

Least Common Multiple of 508,584 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 508,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,584) = 4

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

GCF(508,584) x common factors =4 x 1 = 4

LCM(508,584) = ( 508 × 584 ) / 4

LCM(508,584) = 296672 / 4

LCM(508,584) = 74168


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 4841/508, 8350/584

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 4841/508, 8350/584?

Answer: GCF of Numerators as per given numbers 4841/508, 8350/584 is

GCF of Numerators i.e. for 4841,8350 is 1

LCM of denominators i.e. for 508,584 is 74168.

Thus, GCF of Fractions is 1/74168.Finally, GCF of Fractions for 4841/508, 8350/584 is 1/74168.