Greatest Common Factor of 955/4176, 945/9677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 955/4176, 945/9677

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 955/4176,945/9677

Given fractions are 955/4176,945/9677

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 955,945

Greatest Common Factor of Numerators i.e. GCF of 955,945 is 5 .

LCM of Denominators means LCM of 4176,9677 as per the given fractions.

LCM of 4176,9677 is 40411152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 955,945

GCF of Fractions 955/4176,945/9677 is 5/40411152

5 955, 945
191, 189

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 955,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 955,945 By Matching Biggest Common Factor Method

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 955,945 . The biggest common factor number is the GCF number.
So the greatest common factor 955,945 is 5.

Lets's calculate LCM of 4176,9677

Given numbers has no common factors except 1. So, there LCM is their product i.e 40411152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/40411152

Therefore, the GCF of Fractions 955/4176,945/9677 is 5/40411152

Least Common Multiple of 4176,9677 with GCF Formula

Least Common Multiple of 4176,9677 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 4176,9677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4176,9677) = 1

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

GCF(4176,9677) x common factors =1 x 1 = 1

LCM(4176,9677) = ( 4176 × 9677 ) / 1

LCM(4176,9677) = 40411152 / 1

LCM(4176,9677) = 40411152


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 955/4176, 945/9677

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 955/4176, 945/9677?

Answer: GCF of Numerators as per given numbers 955/4176, 945/9677 is

GCF of Numerators i.e. for 955,945 is 5

LCM of denominators i.e. for 4176,9677 is 40411152.

Thus, GCF of Fractions is 5/40411152.Finally, GCF of Fractions for 955/4176, 945/9677 is 5/40411152.