Greatest Common Factor of 9448/42, 3472/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9448/42, 3472/541

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 9448/42,3472/541

Given fractions are 9448/42,3472/541

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 9448,3472

Greatest Common Factor of Numerators i.e. GCF of 9448,3472 is 8 .

LCM of Denominators means LCM of 42,541 as per the given fractions.

LCM of 42,541 is 22722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9448,3472

GCF of Fractions 9448/42,3472/541 is 8/22722

2 9448, 3472
2 4724, 1736
2 2362, 868
1181, 434

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9448,3472 By Matching Biggest Common Factor Method

Greatest Common Factor of 9448,3472 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 3472

List of positive integer factors of 3472 that divides 3472 without a remainder.

1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472

Greatest Common Factor

We found the factors 9448,3472 . The biggest common factor number is the GCF number.
So the greatest common factor 9448,3472 is 8.

Lets's calculate LCM of 42,541

Given numbers has no common factors except 1. So, there LCM is their product i.e 22722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/22722

Therefore, the GCF of Fractions 9448/42,3472/541 is 8/22722

Least Common Multiple of 42,541 with GCF Formula

Least Common Multiple of 42,541 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 42,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,541) = 1

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

GCF(42,541) x common factors =1 x 1 = 1

LCM(42,541) = ( 42 × 541 ) / 1

LCM(42,541) = 22722 / 1

LCM(42,541) = 22722


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 9448/42, 3472/541

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 9448/42, 3472/541?

Answer: GCF of Numerators as per given numbers 9448/42, 3472/541 is

GCF of Numerators i.e. for 9448,3472 is 8

LCM of denominators i.e. for 42,541 is 22722.

Thus, GCF of Fractions is 8/22722.Finally, GCF of Fractions for 9448/42, 3472/541 is 8/22722.