Greatest Common Factor of 2601/76, 4949/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2601/76, 4949/444

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 2601/76,4949/444

Given fractions are 2601/76,4949/444

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 2601,4949

Greatest Common Factor of Numerators i.e. GCF of 2601,4949 is 1 .

LCM of Denominators means LCM of 76,444 as per the given fractions.

LCM of 76,444 is 8436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2601,4949

GCF of Fractions 2601/76,4949/444 is 1/8436

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

Greatest Common Factor of 2601,4949 By Matching Biggest Common Factor Method

Greatest Common Factor of 2601,4949 By Matching Biggest Common Factor Method

Factors of 2601

List of positive integer factors of 2601 that divides 2601 without a remainder.

1,3,9,17,51,153,289,867,2601

Factors of 4949

List of positive integer factors of 4949 that divides 4949 without a remainder.

1,7,49,101,707,4949

Greatest Common Factor

We found the factors 2601,4949 . The biggest common factor number is the GCF number.
So the greatest common factor 2601,4949 is 1.

Lets's calculate LCM of 76,444

2 76, 444
2 38, 222
19, 111

∴ So the LCM of the given numbers is 2 x 2 x 19 x 111 = 8436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8436

Therefore, the GCF of Fractions 2601/76,4949/444 is 1/8436

Least Common Multiple of 76,444 with GCF Formula

Least Common Multiple of 76,444 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 76,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,444) = 4

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

GCF(76,444) x common factors =4 x 1 = 4

LCM(76,444) = ( 76 × 444 ) / 4

LCM(76,444) = 33744 / 4

LCM(76,444) = 8436


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 2601/76, 4949/444

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 2601/76, 4949/444?

Answer: GCF of Numerators as per given numbers 2601/76, 4949/444 is

GCF of Numerators i.e. for 2601,4949 is 1

LCM of denominators i.e. for 76,444 is 8436.

Thus, GCF of Fractions is 1/8436.Finally, GCF of Fractions for 2601/76, 4949/444 is 1/8436.