Greatest Common Factor of 97/29, 99/65, 574/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/29, 99/65, 574/105

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 97/29,99/65,574/105

Given fractions are 97/29,99/65,574/105

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 97,99,574

Greatest Common Factor of Numerators i.e. GCF of 97,99,574 is 1 .

LCM of Denominators means LCM of 29,65,105 as per the given fractions.

LCM of 29,65,105 is 39585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,99,574

GCF of Fractions 97/29,99/65,574/105 is 1/39585

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

Greatest Common Factor of 97,99,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,99,574 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 99

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

1,3,9,11,33,99

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 97,99,574 . The biggest common factor number is the GCF number.
So the greatest common factor 97,99,574 is 1.

Lets's calculate LCM of 29,65,105

5 29, 65, 105
29, 13, 21

∴ So the LCM of the given numbers is 5 x 29 x 13 x 21 = 39585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39585

Therefore, the GCF of Fractions 97/29,99/65,574/105 is 1/39585

Least Common Multiple of 29,65,105 with GCF Formula

Least Common Multiple of 29,65,105 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 29,65,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,65,105) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(29,65,105) x common factors =1 x 5 = 5

LCM(29,65,105) = ( 29 × 65 × 105 ) / 5

LCM(29,65,105) = 197925 / 5

LCM(29,65,105) = 39585


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 97/29, 99/65, 574/105

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 97/29, 99/65, 574/105?

Answer: GCF of Numerators as per given numbers 97/29, 99/65, 574/105 is

GCF of Numerators i.e. for 97,99,574 is 1

LCM of denominators i.e. for 29,65,105 is 39585.

Thus, GCF of Fractions is 1/39585.Finally, GCF of Fractions for 97/29, 99/65, 574/105 is 1/39585.