Greatest Common Factor of 3859/128, 9664/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3859/128, 9664/167

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 3859/128,9664/167

Given fractions are 3859/128,9664/167

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 3859,9664

Greatest Common Factor of Numerators i.e. GCF of 3859,9664 is 1 .

LCM of Denominators means LCM of 128,167 as per the given fractions.

LCM of 128,167 is 21376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3859,9664

GCF of Fractions 3859/128,9664/167 is 1/21376

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

Greatest Common Factor of 3859,9664 By Matching Biggest Common Factor Method

Greatest Common Factor of 3859,9664 By Matching Biggest Common Factor Method

Factors of 3859

List of positive integer factors of 3859 that divides 3859 without a remainder.

1,17,227,3859

Factors of 9664

List of positive integer factors of 9664 that divides 9664 without a remainder.

1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664

Greatest Common Factor

We found the factors 3859,9664 . The biggest common factor number is the GCF number.
So the greatest common factor 3859,9664 is 1.

Lets's calculate LCM of 128,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 21376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21376

Therefore, the GCF of Fractions 3859/128,9664/167 is 1/21376

Least Common Multiple of 128,167 with GCF Formula

Least Common Multiple of 128,167 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 128,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,167) = 1

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

GCF(128,167) x common factors =1 x 1 = 1

LCM(128,167) = ( 128 × 167 ) / 1

LCM(128,167) = 21376 / 1

LCM(128,167) = 21376


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 3859/128, 9664/167

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 3859/128, 9664/167?

Answer: GCF of Numerators as per given numbers 3859/128, 9664/167 is

GCF of Numerators i.e. for 3859,9664 is 1

LCM of denominators i.e. for 128,167 is 21376.

Thus, GCF of Fractions is 1/21376.Finally, GCF of Fractions for 3859/128, 9664/167 is 1/21376.