Greatest Common Factor of 548/600, 4312/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/600, 4312/459

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 548/600,4312/459

Given fractions are 548/600,4312/459

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 548,4312

Greatest Common Factor of Numerators i.e. GCF of 548,4312 is 4 .

LCM of Denominators means LCM of 600,459 as per the given fractions.

LCM of 600,459 is 91800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,4312

GCF of Fractions 548/600,4312/459 is 4/91800

2 548, 4312
2 274, 2156
137, 1078

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 548,4312 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,4312 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 4312

List of positive integer factors of 4312 that divides 4312 without a remainder.

1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312

Greatest Common Factor

We found the factors 548,4312 . The biggest common factor number is the GCF number.
So the greatest common factor 548,4312 is 4.

Lets's calculate LCM of 600,459

3 600, 459
200, 153

∴ So the LCM of the given numbers is 3 x 200 x 153 = 91800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/91800

Therefore, the GCF of Fractions 548/600,4312/459 is 4/91800

Least Common Multiple of 600,459 with GCF Formula

Least Common Multiple of 600,459 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 600,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,459) = 3

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

GCF(600,459) x common factors =3 x 1 = 3

LCM(600,459) = ( 600 × 459 ) / 3

LCM(600,459) = 275400 / 3

LCM(600,459) = 91800


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 548/600, 4312/459

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 548/600, 4312/459?

Answer: GCF of Numerators as per given numbers 548/600, 4312/459 is

GCF of Numerators i.e. for 548,4312 is 4

LCM of denominators i.e. for 600,459 is 91800.

Thus, GCF of Fractions is 4/91800.Finally, GCF of Fractions for 548/600, 4312/459 is 4/91800.