Greatest Common Factor of 99/49, 86/94, 45/58, 22/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/49, 86/94, 45/58, 22/203

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 99/49,86/94,45/58,22/203

Given fractions are 99/49,86/94,45/58,22/203

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 99,86,45,22

Greatest Common Factor of Numerators i.e. GCF of 99,86,45,22 is 1 .

LCM of Denominators means LCM of 49,94,58,203 as per the given fractions.

LCM of 49,94,58,203 is 133574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,86,45,22

GCF of Fractions 99/49,86/94,45/58,22/203 is 1/133574

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

Greatest Common Factor of 99,86,45,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,86,45,22 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors 99,86,45,22 . The biggest common factor number is the GCF number.
So the greatest common factor 99,86,45,22 is 1.

Lets's calculate LCM of 49,94,58,203

2 49, 94, 58, 203
7 49, 47, 29, 203
29 7, 47, 29, 29
7, 47, 1, 1

∴ So the LCM of the given numbers is 2 x 7 x 29 x 7 x 47 x 1 x 1 = 133574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133574

Therefore, the GCF of Fractions 99/49,86/94,45/58,22/203 is 1/133574

Least Common Multiple of 49,94,58,203 with GCF Formula

Least Common Multiple of 49,94,58,203 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 49,94,58,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,94,58,203) = 1

common factors(in case of two or more numbers have common factors) = 406

GCF(49,94,58,203) x common factors =1 x 406 = 406

LCM(49,94,58,203) = ( 49 × 94 × 58 × 203 ) / 406

LCM(49,94,58,203) = 54231044 / 406

LCM(49,94,58,203) = 133574


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 99/49, 86/94, 45/58, 22/203

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 99/49, 86/94, 45/58, 22/203?

Answer: GCF of Numerators as per given numbers 99/49, 86/94, 45/58, 22/203 is

GCF of Numerators i.e. for 99,86,45,22 is 1

LCM of denominators i.e. for 49,94,58,203 is 133574.

Thus, GCF of Fractions is 1/133574.Finally, GCF of Fractions for 99/49, 86/94, 45/58, 22/203 is 1/133574.