Greatest Common Factor of 487/55, 7344/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 487/55, 7344/310

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 487/55,7344/310

Given fractions are 487/55,7344/310

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 487,7344

Greatest Common Factor of Numerators i.e. GCF of 487,7344 is 1 .

LCM of Denominators means LCM of 55,310 as per the given fractions.

LCM of 55,310 is 3410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 487,7344

GCF of Fractions 487/55,7344/310 is 1/3410

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

Greatest Common Factor of 487,7344 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,7344 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 7344

List of positive integer factors of 7344 that divides 7344 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344

Greatest Common Factor

We found the factors 487,7344 . The biggest common factor number is the GCF number.
So the greatest common factor 487,7344 is 1.

Lets's calculate LCM of 55,310

5 55, 310
11, 62

∴ So the LCM of the given numbers is 5 x 11 x 62 = 3410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3410

Therefore, the GCF of Fractions 487/55,7344/310 is 1/3410

Least Common Multiple of 55,310 with GCF Formula

Least Common Multiple of 55,310 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 55,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,310) = 5

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

GCF(55,310) x common factors =5 x 1 = 5

LCM(55,310) = ( 55 × 310 ) / 5

LCM(55,310) = 17050 / 5

LCM(55,310) = 3410


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 487/55, 7344/310

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 487/55, 7344/310?

Answer: GCF of Numerators as per given numbers 487/55, 7344/310 is

GCF of Numerators i.e. for 487,7344 is 1

LCM of denominators i.e. for 55,310 is 3410.

Thus, GCF of Fractions is 1/3410.Finally, GCF of Fractions for 487/55, 7344/310 is 1/3410.