Greatest Common Factor of 7/41, 8/89, 84/61, 99/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/41, 8/89, 84/61, 99/609

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 7/41,8/89,84/61,99/609

Given fractions are 7/41,8/89,84/61,99/609

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 7,8,84,99

Greatest Common Factor of Numerators i.e. GCF of 7,8,84,99 is 1 .

LCM of Denominators means LCM of 41,89,61,609 as per the given fractions.

LCM of 41,89,61,609 is 135556701 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,8,84,99

GCF of Fractions 7/41,8/89,84/61,99/609 is 1/135556701

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

Greatest Common Factor of 7,8,84,99 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,8,84,99 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 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Greatest Common Factor

We found the factors 7,8,84,99 . The biggest common factor number is the GCF number.
So the greatest common factor 7,8,84,99 is 1.

Lets's calculate LCM of 41,89,61,609

Given numbers has no common factors except 1. So, there LCM is their product i.e 135556701

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135556701

Therefore, the GCF of Fractions 7/41,8/89,84/61,99/609 is 1/135556701

Least Common Multiple of 41,89,61,609 with GCF Formula

Least Common Multiple of 41,89,61,609 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 41,89,61,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,89,61,609) = 1

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

GCF(41,89,61,609) x common factors =1 x 1 = 1

LCM(41,89,61,609) = ( 41 × 89 × 61 × 609 ) / 1

LCM(41,89,61,609) = 135556701 / 1

LCM(41,89,61,609) = 135556701


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, 8/89, 84/61, 99/609

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, 8/89, 84/61, 99/609?

Answer: GCF of Numerators as per given numbers 7/41, 8/89, 84/61, 99/609 is

GCF of Numerators i.e. for 7,8,84,99 is 1

LCM of denominators i.e. for 41,89,61,609 is 135556701.

Thus, GCF of Fractions is 1/135556701.Finally, GCF of Fractions for 7/41, 8/89, 84/61, 99/609 is 1/135556701.