Greatest Common Factor of 9049/88, 3866/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9049/88, 3866/154

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 9049/88,3866/154

Given fractions are 9049/88,3866/154

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 9049,3866

Greatest Common Factor of Numerators i.e. GCF of 9049,3866 is 1 .

LCM of Denominators means LCM of 88,154 as per the given fractions.

LCM of 88,154 is 616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9049,3866

GCF of Fractions 9049/88,3866/154 is 1/616

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

Greatest Common Factor of 9049,3866 By Matching Biggest Common Factor Method

Greatest Common Factor of 9049,3866 By Matching Biggest Common Factor Method

Factors of 9049

List of positive integer factors of 9049 that divides 9049 without a remainder.

1,9049

Factors of 3866

List of positive integer factors of 3866 that divides 3866 without a remainder.

1,2,1933,3866

Greatest Common Factor

We found the factors 9049,3866 . The biggest common factor number is the GCF number.
So the greatest common factor 9049,3866 is 1.

Lets's calculate LCM of 88,154

2 88, 154
11 44, 77
4, 7

∴ So the LCM of the given numbers is 2 x 11 x 4 x 7 = 616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616

Therefore, the GCF of Fractions 9049/88,3866/154 is 1/616

Least Common Multiple of 88,154 with GCF Formula

Least Common Multiple of 88,154 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 88,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,154) = 22

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

GCF(88,154) x common factors =22 x 1 = 22

LCM(88,154) = ( 88 × 154 ) / 22

LCM(88,154) = 13552 / 22

LCM(88,154) = 616


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 9049/88, 3866/154

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 9049/88, 3866/154?

Answer: GCF of Numerators as per given numbers 9049/88, 3866/154 is

GCF of Numerators i.e. for 9049,3866 is 1

LCM of denominators i.e. for 88,154 is 616.

Thus, GCF of Fractions is 1/616.Finally, GCF of Fractions for 9049/88, 3866/154 is 1/616.