Greatest Common Factor of 29/662, 646/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/662, 646/188

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 29/662,646/188

Given fractions are 29/662,646/188

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 29,646

Greatest Common Factor of Numerators i.e. GCF of 29,646 is 1 .

LCM of Denominators means LCM of 662,188 as per the given fractions.

LCM of 662,188 is 62228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,646

GCF of Fractions 29/662,646/188 is 1/62228

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

Greatest Common Factor of 29,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,646 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 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 29,646 . The biggest common factor number is the GCF number.
So the greatest common factor 29,646 is 1.

Lets's calculate LCM of 662,188

2 662, 188
331, 94

∴ So the LCM of the given numbers is 2 x 331 x 94 = 62228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62228

Therefore, the GCF of Fractions 29/662,646/188 is 1/62228

Least Common Multiple of 662,188 with GCF Formula

Least Common Multiple of 662,188 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 662,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,188) = 2

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

GCF(662,188) x common factors =2 x 1 = 2

LCM(662,188) = ( 662 × 188 ) / 2

LCM(662,188) = 124456 / 2

LCM(662,188) = 62228


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 29/662, 646/188

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 29/662, 646/188?

Answer: GCF of Numerators as per given numbers 29/662, 646/188 is

GCF of Numerators i.e. for 29,646 is 1

LCM of denominators i.e. for 662,188 is 62228.

Thus, GCF of Fractions is 1/62228.Finally, GCF of Fractions for 29/662, 646/188 is 1/62228.