Greatest Common Factor of 548/492, 1547/9630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/492, 1547/9630

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 548/492,1547/9630

Given fractions are 548/492,1547/9630

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 548,1547

Greatest Common Factor of Numerators i.e. GCF of 548,1547 is 1 .

LCM of Denominators means LCM of 492,9630 as per the given fractions.

LCM of 492,9630 is 789660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,1547

GCF of Fractions 548/492,1547/9630 is 1/789660

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

Greatest Common Factor of 548,1547 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,1547 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 1547

List of positive integer factors of 1547 that divides 1547 without a remainder.

1,7,13,17,91,119,221,1547

Greatest Common Factor

We found the factors 548,1547 . The biggest common factor number is the GCF number.
So the greatest common factor 548,1547 is 1.

Lets's calculate LCM of 492,9630

2 492, 9630
3 246, 4815
82, 1605

∴ So the LCM of the given numbers is 2 x 3 x 82 x 1605 = 789660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/789660

Therefore, the GCF of Fractions 548/492,1547/9630 is 1/789660

Least Common Multiple of 492,9630 with GCF Formula

Least Common Multiple of 492,9630 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 492,9630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,9630) = 6

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

GCF(492,9630) x common factors =6 x 1 = 6

LCM(492,9630) = ( 492 × 9630 ) / 6

LCM(492,9630) = 4737960 / 6

LCM(492,9630) = 789660


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 548/492, 1547/9630

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 548/492, 1547/9630?

Answer: GCF of Numerators as per given numbers 548/492, 1547/9630 is

GCF of Numerators i.e. for 548,1547 is 1

LCM of denominators i.e. for 492,9630 is 789660.

Thus, GCF of Fractions is 1/789660.Finally, GCF of Fractions for 548/492, 1547/9630 is 1/789660.