Greatest Common Factor of 3548/98, 9490/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3548/98, 9490/432

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 3548/98,9490/432

Given fractions are 3548/98,9490/432

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 3548,9490

Greatest Common Factor of Numerators i.e. GCF of 3548,9490 is 2 .

LCM of Denominators means LCM of 98,432 as per the given fractions.

LCM of 98,432 is 21168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3548,9490

GCF of Fractions 3548/98,9490/432 is 2/21168

2 3548, 9490
1774, 4745

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

Greatest Common Factor of 3548,9490 By Matching Biggest Common Factor Method

Greatest Common Factor of 3548,9490 By Matching Biggest Common Factor Method

Factors of 3548

List of positive integer factors of 3548 that divides 3548 without a remainder.

1,2,4,887,1774,3548

Factors of 9490

List of positive integer factors of 9490 that divides 9490 without a remainder.

1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490

Greatest Common Factor

We found the factors 3548,9490 . The biggest common factor number is the GCF number.
So the greatest common factor 3548,9490 is 2.

Lets's calculate LCM of 98,432

2 98, 432
49, 216

∴ So the LCM of the given numbers is 2 x 49 x 216 = 21168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21168

Therefore, the GCF of Fractions 3548/98,9490/432 is 2/21168

Least Common Multiple of 98,432 with GCF Formula

Least Common Multiple of 98,432 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 98,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,432) = 2

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

GCF(98,432) x common factors =2 x 1 = 2

LCM(98,432) = ( 98 × 432 ) / 2

LCM(98,432) = 42336 / 2

LCM(98,432) = 21168


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 3548/98, 9490/432

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 3548/98, 9490/432?

Answer: GCF of Numerators as per given numbers 3548/98, 9490/432 is

GCF of Numerators i.e. for 3548,9490 is 2

LCM of denominators i.e. for 98,432 is 21168.

Thus, GCF of Fractions is 2/21168.Finally, GCF of Fractions for 3548/98, 9490/432 is 2/21168.