Greatest Common Factor of 224/343, 918/482, 254/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 224/343, 918/482, 254/354

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 224/343,918/482,254/354

Given fractions are 224/343,918/482,254/354

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 224,918,254

Greatest Common Factor of Numerators i.e. GCF of 224,918,254 is 2 .

LCM of Denominators means LCM of 343,482,354 as per the given fractions.

LCM of 343,482,354 is 29262702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 224,918,254

GCF of Fractions 224/343,918/482,254/354 is 2/29262702

2 224, 918, 254
112, 459, 127

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

Greatest Common Factor of 224,918,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,918,254 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 224,918,254 . The biggest common factor number is the GCF number.
So the greatest common factor 224,918,254 is 2.

Lets's calculate LCM of 343,482,354

2 343, 482, 354
343, 241, 177

∴ So the LCM of the given numbers is 2 x 343 x 241 x 177 = 29262702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29262702

Therefore, the GCF of Fractions 224/343,918/482,254/354 is 2/29262702

Least Common Multiple of 343,482,354 with GCF Formula

Least Common Multiple of 343,482,354 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 343,482,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,482,354) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(343,482,354) x common factors =1 x 2 = 2

LCM(343,482,354) = ( 343 × 482 × 354 ) / 2

LCM(343,482,354) = 58525404 / 2

LCM(343,482,354) = 29262702


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 224/343, 918/482, 254/354

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 224/343, 918/482, 254/354?

Answer: GCF of Numerators as per given numbers 224/343, 918/482, 254/354 is

GCF of Numerators i.e. for 224,918,254 is 2

LCM of denominators i.e. for 343,482,354 is 29262702.

Thus, GCF of Fractions is 2/29262702.Finally, GCF of Fractions for 224/343, 918/482, 254/354 is 2/29262702.