Greatest Common Factor of 97/74, 51/60, 412/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/74, 51/60, 412/629

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 97/74,51/60,412/629

Given fractions are 97/74,51/60,412/629

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 97,51,412

Greatest Common Factor of Numerators i.e. GCF of 97,51,412 is 1 .

LCM of Denominators means LCM of 74,60,629 as per the given fractions.

LCM of 74,60,629 is 37740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,51,412

GCF of Fractions 97/74,51/60,412/629 is 1/37740

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

Greatest Common Factor of 97,51,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,51,412 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 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 97,51,412 . The biggest common factor number is the GCF number.
So the greatest common factor 97,51,412 is 1.

Lets's calculate LCM of 74,60,629

2 74, 60, 629
37 37, 30, 629
1, 30, 17

∴ So the LCM of the given numbers is 2 x 37 x 1 x 30 x 17 = 37740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37740

Therefore, the GCF of Fractions 97/74,51/60,412/629 is 1/37740

Least Common Multiple of 74,60,629 with GCF Formula

Least Common Multiple of 74,60,629 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 74,60,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,60,629) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(74,60,629) x common factors =1 x 74 = 74

LCM(74,60,629) = ( 74 × 60 × 629 ) / 74

LCM(74,60,629) = 2792760 / 74

LCM(74,60,629) = 37740


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 97/74, 51/60, 412/629

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 97/74, 51/60, 412/629?

Answer: GCF of Numerators as per given numbers 97/74, 51/60, 412/629 is

GCF of Numerators i.e. for 97,51,412 is 1

LCM of denominators i.e. for 74,60,629 is 37740.

Thus, GCF of Fractions is 1/37740.Finally, GCF of Fractions for 97/74, 51/60, 412/629 is 1/37740.