Greatest Common Factor of 9448/884, 3691/6262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9448/884, 3691/6262

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 9448/884,3691/6262

Given fractions are 9448/884,3691/6262

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 9448,3691

Greatest Common Factor of Numerators i.e. GCF of 9448,3691 is 1 .

LCM of Denominators means LCM of 884,6262 as per the given fractions.

LCM of 884,6262 is 2767804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9448,3691

GCF of Fractions 9448/884,3691/6262 is 1/2767804

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

Greatest Common Factor of 9448,3691 By Matching Biggest Common Factor Method

Greatest Common Factor of 9448,3691 By Matching Biggest Common Factor Method

Factors of 9448

List of positive integer factors of 9448 that divides 9448 without a remainder.

1,2,4,8,1181,2362,4724,9448

Factors of 3691

List of positive integer factors of 3691 that divides 3691 without a remainder.

1,3691

Greatest Common Factor

We found the factors 9448,3691 . The biggest common factor number is the GCF number.
So the greatest common factor 9448,3691 is 1.

Lets's calculate LCM of 884,6262

2 884, 6262
442, 3131

∴ So the LCM of the given numbers is 2 x 442 x 3131 = 2767804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2767804

Therefore, the GCF of Fractions 9448/884,3691/6262 is 1/2767804

Least Common Multiple of 884,6262 with GCF Formula

Least Common Multiple of 884,6262 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 884,6262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,6262) = 2

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

GCF(884,6262) x common factors =2 x 1 = 2

LCM(884,6262) = ( 884 × 6262 ) / 2

LCM(884,6262) = 5535608 / 2

LCM(884,6262) = 2767804


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 9448/884, 3691/6262

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 9448/884, 3691/6262?

Answer: GCF of Numerators as per given numbers 9448/884, 3691/6262 is

GCF of Numerators i.e. for 9448,3691 is 1

LCM of denominators i.e. for 884,6262 is 2767804.

Thus, GCF of Fractions is 1/2767804.Finally, GCF of Fractions for 9448/884, 3691/6262 is 1/2767804.