Greatest Common Factor of 548/71, 671/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/71, 671/490

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 548/71,671/490

Given fractions are 548/71,671/490

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 548,671

Greatest Common Factor of Numerators i.e. GCF of 548,671 is 1 .

LCM of Denominators means LCM of 71,490 as per the given fractions.

LCM of 71,490 is 34790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,671

GCF of Fractions 548/71,671/490 is 1/34790

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

Greatest Common Factor of 548,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,671 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 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 548,671 . The biggest common factor number is the GCF number.
So the greatest common factor 548,671 is 1.

Lets's calculate LCM of 71,490

Given numbers has no common factors except 1. So, there LCM is their product i.e 34790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34790

Therefore, the GCF of Fractions 548/71,671/490 is 1/34790

Least Common Multiple of 71,490 with GCF Formula

Least Common Multiple of 71,490 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 71,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,490) = 1

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

GCF(71,490) x common factors =1 x 1 = 1

LCM(71,490) = ( 71 × 490 ) / 1

LCM(71,490) = 34790 / 1

LCM(71,490) = 34790


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 548/71, 671/490

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 548/71, 671/490?

Answer: GCF of Numerators as per given numbers 548/71, 671/490 is

GCF of Numerators i.e. for 548,671 is 1

LCM of denominators i.e. for 71,490 is 34790.

Thus, GCF of Fractions is 1/34790.Finally, GCF of Fractions for 548/71, 671/490 is 1/34790.