Greatest Common Factor of 9/55, 15/56, 94/193, 199/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/55, 15/56, 94/193, 199/953

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 9/55,15/56,94/193,199/953

Given fractions are 9/55,15/56,94/193,199/953

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 9,15,94,199

Greatest Common Factor of Numerators i.e. GCF of 9,15,94,199 is 1 .

LCM of Denominators means LCM of 55,56,193,953 as per the given fractions.

LCM of 55,56,193,953 is 566501320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,15,94,199

GCF of Fractions 9/55,15/56,94/193,199/953 is 1/566501320

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

Greatest Common Factor of 9,15,94,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,15,94,199 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 9,15,94,199 . The biggest common factor number is the GCF number.
So the greatest common factor 9,15,94,199 is 1.

Lets's calculate LCM of 55,56,193,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 566501320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/566501320

Therefore, the GCF of Fractions 9/55,15/56,94/193,199/953 is 1/566501320

Least Common Multiple of 55,56,193,953 with GCF Formula

Least Common Multiple of 55,56,193,953 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 55,56,193,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,56,193,953) = 1

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

GCF(55,56,193,953) x common factors =1 x 1 = 1

LCM(55,56,193,953) = ( 55 × 56 × 193 × 953 ) / 1

LCM(55,56,193,953) = 566501320 / 1

LCM(55,56,193,953) = 566501320


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 9/55, 15/56, 94/193, 199/953

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 9/55, 15/56, 94/193, 199/953?

Answer: GCF of Numerators as per given numbers 9/55, 15/56, 94/193, 199/953 is

GCF of Numerators i.e. for 9,15,94,199 is 1

LCM of denominators i.e. for 55,56,193,953 is 566501320.

Thus, GCF of Fractions is 1/566501320.Finally, GCF of Fractions for 9/55, 15/56, 94/193, 199/953 is 1/566501320.