Greatest Common Factor of 7/41, 61/14, 61/460, 978/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/41, 61/14, 61/460, 978/406

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 7/41,61/14,61/460,978/406

Given fractions are 7/41,61/14,61/460,978/406

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 7,61,61,978

Greatest Common Factor of Numerators i.e. GCF of 7,61,61,978 is 1 .

LCM of Denominators means LCM of 41,14,460,406 as per the given fractions.

LCM of 41,14,460,406 is 3828580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,61,61,978

GCF of Fractions 7/41,61/14,61/460,978/406 is 1/3828580

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

Greatest Common Factor of 7,61,61,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,61,61,978 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 7,61,61,978 . The biggest common factor number is the GCF number.
So the greatest common factor 7,61,61,978 is 1.

Lets's calculate LCM of 41,14,460,406

2 41, 14, 460, 406
7 41, 7, 230, 203
41, 1, 230, 29

∴ So the LCM of the given numbers is 2 x 7 x 41 x 1 x 230 x 29 = 3828580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3828580

Therefore, the GCF of Fractions 7/41,61/14,61/460,978/406 is 1/3828580

Least Common Multiple of 41,14,460,406 with GCF Formula

Least Common Multiple of 41,14,460,406 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 41,14,460,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,14,460,406) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(41,14,460,406) x common factors =1 x 28 = 28

LCM(41,14,460,406) = ( 41 × 14 × 460 × 406 ) / 28

LCM(41,14,460,406) = 107200240 / 28

LCM(41,14,460,406) = 3828580


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 7/41, 61/14, 61/460, 978/406

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 7/41, 61/14, 61/460, 978/406?

Answer: GCF of Numerators as per given numbers 7/41, 61/14, 61/460, 978/406 is

GCF of Numerators i.e. for 7,61,61,978 is 1

LCM of denominators i.e. for 41,14,460,406 is 3828580.

Thus, GCF of Fractions is 1/3828580.Finally, GCF of Fractions for 7/41, 61/14, 61/460, 978/406 is 1/3828580.