Greatest Common Factor of 9467/208, 8930/5952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9467/208, 8930/5952

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 9467/208,8930/5952

Given fractions are 9467/208,8930/5952

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 9467,8930

Greatest Common Factor of Numerators i.e. GCF of 9467,8930 is 1 .

LCM of Denominators means LCM of 208,5952 as per the given fractions.

LCM of 208,5952 is 77376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9467,8930

GCF of Fractions 9467/208,8930/5952 is 1/77376

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

Greatest Common Factor of 9467,8930 By Matching Biggest Common Factor Method

Greatest Common Factor of 9467,8930 By Matching Biggest Common Factor Method

Factors of 9467

List of positive integer factors of 9467 that divides 9467 without a remainder.

1,9467

Factors of 8930

List of positive integer factors of 8930 that divides 8930 without a remainder.

1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930

Greatest Common Factor

We found the factors 9467,8930 . The biggest common factor number is the GCF number.
So the greatest common factor 9467,8930 is 1.

Lets's calculate LCM of 208,5952

2 208, 5952
2 104, 2976
2 52, 1488
2 26, 744
13, 372

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 372 = 77376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77376

Therefore, the GCF of Fractions 9467/208,8930/5952 is 1/77376

Least Common Multiple of 208,5952 with GCF Formula

Least Common Multiple of 208,5952 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 208,5952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,5952) = 16

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

GCF(208,5952) x common factors =16 x 1 = 16

LCM(208,5952) = ( 208 × 5952 ) / 16

LCM(208,5952) = 1238016 / 16

LCM(208,5952) = 77376


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 9467/208, 8930/5952

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 9467/208, 8930/5952?

Answer: GCF of Numerators as per given numbers 9467/208, 8930/5952 is

GCF of Numerators i.e. for 9467,8930 is 1

LCM of denominators i.e. for 208,5952 is 77376.

Thus, GCF of Fractions is 1/77376.Finally, GCF of Fractions for 9467/208, 8930/5952 is 1/77376.