Greatest Common Factor of 549/454, 2506/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/454, 2506/420

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 549/454,2506/420

Given fractions are 549/454,2506/420

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 549,2506

Greatest Common Factor of Numerators i.e. GCF of 549,2506 is 1 .

LCM of Denominators means LCM of 454,420 as per the given fractions.

LCM of 454,420 is 95340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,2506

GCF of Fractions 549/454,2506/420 is 1/95340

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

Greatest Common Factor of 549,2506 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,2506 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 2506

List of positive integer factors of 2506 that divides 2506 without a remainder.

1,2,7,14,179,358,1253,2506

Greatest Common Factor

We found the factors 549,2506 . The biggest common factor number is the GCF number.
So the greatest common factor 549,2506 is 1.

Lets's calculate LCM of 454,420

2 454, 420
227, 210

∴ So the LCM of the given numbers is 2 x 227 x 210 = 95340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95340

Therefore, the GCF of Fractions 549/454,2506/420 is 1/95340

Least Common Multiple of 454,420 with GCF Formula

Least Common Multiple of 454,420 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 454,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,420) = 2

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

GCF(454,420) x common factors =2 x 1 = 2

LCM(454,420) = ( 454 × 420 ) / 2

LCM(454,420) = 190680 / 2

LCM(454,420) = 95340


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 549/454, 2506/420

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 549/454, 2506/420?

Answer: GCF of Numerators as per given numbers 549/454, 2506/420 is

GCF of Numerators i.e. for 549,2506 is 1

LCM of denominators i.e. for 454,420 is 95340.

Thus, GCF of Fractions is 1/95340.Finally, GCF of Fractions for 549/454, 2506/420 is 1/95340.