Greatest Common Factor of 32/899, 688/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/899, 688/341

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 32/899,688/341

Given fractions are 32/899,688/341

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 32,688

Greatest Common Factor of Numerators i.e. GCF of 32,688 is 16 .

LCM of Denominators means LCM of 899,341 as per the given fractions.

LCM of 899,341 is 9889 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,688

GCF of Fractions 32/899,688/341 is 16/9889

2 32, 688
2 16, 344
2 8, 172
2 4, 86
2, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 32,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,688 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 32,688 . The biggest common factor number is the GCF number.
So the greatest common factor 32,688 is 16.

Lets's calculate LCM of 899,341

31 899, 341
29, 11

∴ So the LCM of the given numbers is 31 x 29 x 11 = 9889

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/9889

Therefore, the GCF of Fractions 32/899,688/341 is 16/9889

Least Common Multiple of 899,341 with GCF Formula

Least Common Multiple of 899,341 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 899,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,341) = 31

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

GCF(899,341) x common factors =31 x 1 = 31

LCM(899,341) = ( 899 × 341 ) / 31

LCM(899,341) = 306559 / 31

LCM(899,341) = 9889


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 32/899, 688/341

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 32/899, 688/341?

Answer: GCF of Numerators as per given numbers 32/899, 688/341 is

GCF of Numerators i.e. for 32,688 is 16

LCM of denominators i.e. for 899,341 is 9889.

Thus, GCF of Fractions is 16/9889.Finally, GCF of Fractions for 32/899, 688/341 is 16/9889.