Greatest Common Factor of 1081/324, 7805/4924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1081/324, 7805/4924

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 1081/324,7805/4924

Given fractions are 1081/324,7805/4924

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 1081,7805

Greatest Common Factor of Numerators i.e. GCF of 1081,7805 is 1 .

LCM of Denominators means LCM of 324,4924 as per the given fractions.

LCM of 324,4924 is 398844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1081,7805

GCF of Fractions 1081/324,7805/4924 is 1/398844

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

Greatest Common Factor of 1081,7805 By Matching Biggest Common Factor Method

Greatest Common Factor of 1081,7805 By Matching Biggest Common Factor Method

Factors of 1081

List of positive integer factors of 1081 that divides 1081 without a remainder.

1,23,47,1081

Factors of 7805

List of positive integer factors of 7805 that divides 7805 without a remainder.

1,5,7,35,223,1115,1561,7805

Greatest Common Factor

We found the factors 1081,7805 . The biggest common factor number is the GCF number.
So the greatest common factor 1081,7805 is 1.

Lets's calculate LCM of 324,4924

2 324, 4924
2 162, 2462
81, 1231

∴ So the LCM of the given numbers is 2 x 2 x 81 x 1231 = 398844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398844

Therefore, the GCF of Fractions 1081/324,7805/4924 is 1/398844

Least Common Multiple of 324,4924 with GCF Formula

Least Common Multiple of 324,4924 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 324,4924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,4924) = 4

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

GCF(324,4924) x common factors =4 x 1 = 4

LCM(324,4924) = ( 324 × 4924 ) / 4

LCM(324,4924) = 1595376 / 4

LCM(324,4924) = 398844


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 1081/324, 7805/4924

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 1081/324, 7805/4924?

Answer: GCF of Numerators as per given numbers 1081/324, 7805/4924 is

GCF of Numerators i.e. for 1081,7805 is 1

LCM of denominators i.e. for 324,4924 is 398844.

Thus, GCF of Fractions is 1/398844.Finally, GCF of Fractions for 1081/324, 7805/4924 is 1/398844.