Greatest Common Factor of 29/37, 235/68, 489/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/37, 235/68, 489/632

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 29/37,235/68,489/632

Given fractions are 29/37,235/68,489/632

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 29,235,489

Greatest Common Factor of Numerators i.e. GCF of 29,235,489 is 1 .

LCM of Denominators means LCM of 37,68,632 as per the given fractions.

LCM of 37,68,632 is 397528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,235,489

GCF of Fractions 29/37,235/68,489/632 is 1/397528

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

Greatest Common Factor of 29,235,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,235,489 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 29,235,489 . The biggest common factor number is the GCF number.
So the greatest common factor 29,235,489 is 1.

Lets's calculate LCM of 37,68,632

2 37, 68, 632
2 37, 34, 316
37, 17, 158

∴ So the LCM of the given numbers is 2 x 2 x 37 x 17 x 158 = 397528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397528

Therefore, the GCF of Fractions 29/37,235/68,489/632 is 1/397528

Least Common Multiple of 37,68,632 with GCF Formula

Least Common Multiple of 37,68,632 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 37,68,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,68,632) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(37,68,632) x common factors =1 x 4 = 4

LCM(37,68,632) = ( 37 × 68 × 632 ) / 4

LCM(37,68,632) = 1590112 / 4

LCM(37,68,632) = 397528


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 29/37, 235/68, 489/632

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 29/37, 235/68, 489/632?

Answer: GCF of Numerators as per given numbers 29/37, 235/68, 489/632 is

GCF of Numerators i.e. for 29,235,489 is 1

LCM of denominators i.e. for 37,68,632 is 397528.

Thus, GCF of Fractions is 1/397528.Finally, GCF of Fractions for 29/37, 235/68, 489/632 is 1/397528.