Greatest Common Factor of 3474/496, 7086/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3474/496, 7086/482

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 3474/496,7086/482

Given fractions are 3474/496,7086/482

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 3474,7086

Greatest Common Factor of Numerators i.e. GCF of 3474,7086 is 6 .

LCM of Denominators means LCM of 496,482 as per the given fractions.

LCM of 496,482 is 119536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3474,7086

GCF of Fractions 3474/496,7086/482 is 6/119536

2 3474, 7086
3 1737, 3543
579, 1181

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3474,7086 By Matching Biggest Common Factor Method

Greatest Common Factor of 3474,7086 By Matching Biggest Common Factor Method

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1,2,3,6,9,18,193,386,579,1158,1737,3474

Factors of 7086

List of positive integer factors of 7086 that divides 7086 without a remainder.

1,2,3,6,1181,2362,3543,7086

Greatest Common Factor

We found the factors 3474,7086 . The biggest common factor number is the GCF number.
So the greatest common factor 3474,7086 is 6.

Lets's calculate LCM of 496,482

2 496, 482
248, 241

∴ So the LCM of the given numbers is 2 x 248 x 241 = 119536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/119536

Therefore, the GCF of Fractions 3474/496,7086/482 is 6/119536

Least Common Multiple of 496,482 with GCF Formula

Least Common Multiple of 496,482 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 496,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,482) = 2

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

GCF(496,482) x common factors =2 x 1 = 2

LCM(496,482) = ( 496 × 482 ) / 2

LCM(496,482) = 239072 / 2

LCM(496,482) = 119536


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 3474/496, 7086/482

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 3474/496, 7086/482?

Answer: GCF of Numerators as per given numbers 3474/496, 7086/482 is

GCF of Numerators i.e. for 3474,7086 is 6

LCM of denominators i.e. for 496,482 is 119536.

Thus, GCF of Fractions is 6/119536.Finally, GCF of Fractions for 3474/496, 7086/482 is 6/119536.