Greatest Common Factor of 9166/496, 3750/9945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9166/496, 3750/9945

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 9166/496,3750/9945

Given fractions are 9166/496,3750/9945

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 9166,3750

Greatest Common Factor of Numerators i.e. GCF of 9166,3750 is 2 .

LCM of Denominators means LCM of 496,9945 as per the given fractions.

LCM of 496,9945 is 4932720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9166,3750

GCF of Fractions 9166/496,3750/9945 is 2/4932720

2 9166, 3750
4583, 1875

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

Greatest Common Factor of 9166,3750 By Matching Biggest Common Factor Method

Greatest Common Factor of 9166,3750 By Matching Biggest Common Factor Method

Factors of 9166

List of positive integer factors of 9166 that divides 9166 without a remainder.

1,2,4583,9166

Factors of 3750

List of positive integer factors of 3750 that divides 3750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,625,750,1250,1875,3750

Greatest Common Factor

We found the factors 9166,3750 . The biggest common factor number is the GCF number.
So the greatest common factor 9166,3750 is 2.

Lets's calculate LCM of 496,9945

Given numbers has no common factors except 1. So, there LCM is their product i.e 4932720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4932720

Therefore, the GCF of Fractions 9166/496,3750/9945 is 2/4932720

Least Common Multiple of 496,9945 with GCF Formula

Least Common Multiple of 496,9945 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 496,9945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,9945) = 1

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

GCF(496,9945) x common factors =1 x 1 = 1

LCM(496,9945) = ( 496 × 9945 ) / 1

LCM(496,9945) = 4932720 / 1

LCM(496,9945) = 4932720


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 9166/496, 3750/9945

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 9166/496, 3750/9945?

Answer: GCF of Numerators as per given numbers 9166/496, 3750/9945 is

GCF of Numerators i.e. for 9166,3750 is 2

LCM of denominators i.e. for 496,9945 is 4932720.

Thus, GCF of Fractions is 2/4932720.Finally, GCF of Fractions for 9166/496, 3750/9945 is 2/4932720.