Greatest Common Factor of 334/224, 662/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 334/224, 662/549

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 334/224,662/549

Given fractions are 334/224,662/549

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 334,662

Greatest Common Factor of Numerators i.e. GCF of 334,662 is 2 .

LCM of Denominators means LCM of 224,549 as per the given fractions.

LCM of 224,549 is 122976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 334,662

GCF of Fractions 334/224,662/549 is 2/122976

2 334, 662
167, 331

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

Greatest Common Factor of 334,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,662 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 334,662 . The biggest common factor number is the GCF number.
So the greatest common factor 334,662 is 2.

Lets's calculate LCM of 224,549

Given numbers has no common factors except 1. So, there LCM is their product i.e 122976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122976

Therefore, the GCF of Fractions 334/224,662/549 is 2/122976

Least Common Multiple of 224,549 with GCF Formula

Least Common Multiple of 224,549 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 224,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,549) = 1

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

GCF(224,549) x common factors =1 x 1 = 1

LCM(224,549) = ( 224 × 549 ) / 1

LCM(224,549) = 122976 / 1

LCM(224,549) = 122976


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 334/224, 662/549

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 334/224, 662/549?

Answer: GCF of Numerators as per given numbers 334/224, 662/549 is

GCF of Numerators i.e. for 334,662 is 2

LCM of denominators i.e. for 224,549 is 122976.

Thus, GCF of Fractions is 2/122976.Finally, GCF of Fractions for 334/224, 662/549 is 2/122976.