Greatest Common Factor of 4441/588, 7417/8980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4441/588, 7417/8980

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 4441/588,7417/8980

Given fractions are 4441/588,7417/8980

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 4441,7417

Greatest Common Factor of Numerators i.e. GCF of 4441,7417 is 1 .

LCM of Denominators means LCM of 588,8980 as per the given fractions.

LCM of 588,8980 is 1320060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4441,7417

GCF of Fractions 4441/588,7417/8980 is 1/1320060

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

Greatest Common Factor of 4441,7417 By Matching Biggest Common Factor Method

Greatest Common Factor of 4441,7417 By Matching Biggest Common Factor Method

Factors of 4441

List of positive integer factors of 4441 that divides 4441 without a remainder.

1,4441

Factors of 7417

List of positive integer factors of 7417 that divides 7417 without a remainder.

1,7417

Greatest Common Factor

We found the factors 4441,7417 . The biggest common factor number is the GCF number.
So the greatest common factor 4441,7417 is 1.

Lets's calculate LCM of 588,8980

2 588, 8980
2 294, 4490
147, 2245

∴ So the LCM of the given numbers is 2 x 2 x 147 x 2245 = 1320060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1320060

Therefore, the GCF of Fractions 4441/588,7417/8980 is 1/1320060

Least Common Multiple of 588,8980 with GCF Formula

Least Common Multiple of 588,8980 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 588,8980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,8980) = 4

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

GCF(588,8980) x common factors =4 x 1 = 4

LCM(588,8980) = ( 588 × 8980 ) / 4

LCM(588,8980) = 5280240 / 4

LCM(588,8980) = 1320060


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 4441/588, 7417/8980

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 4441/588, 7417/8980?

Answer: GCF of Numerators as per given numbers 4441/588, 7417/8980 is

GCF of Numerators i.e. for 4441,7417 is 1

LCM of denominators i.e. for 588,8980 is 1320060.

Thus, GCF of Fractions is 1/1320060.Finally, GCF of Fractions for 4441/588, 7417/8980 is 1/1320060.