Greatest Common Factor of 199/77, 237/45, 259/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 199/77, 237/45, 259/608

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 199/77,237/45,259/608

Given fractions are 199/77,237/45,259/608

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 199,237,259

Greatest Common Factor of Numerators i.e. GCF of 199,237,259 is 1 .

LCM of Denominators means LCM of 77,45,608 as per the given fractions.

LCM of 77,45,608 is 2106720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 199,237,259

GCF of Fractions 199/77,237/45,259/608 is 1/2106720

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

Greatest Common Factor of 199,237,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,237,259 By Matching Biggest Common Factor Method

Factors of 199

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

1,199

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 199,237,259 . The biggest common factor number is the GCF number.
So the greatest common factor 199,237,259 is 1.


Lets's calculate LCM of 77,45,608

Given numbers has no common factors except 1. So, there LCM is their product i.e 2106720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2106720

Therefore, the GCF of Fractions 199/77,237/45,259/608 is 1/2106720

Least Common Multiple of 77,45,608 with GCF Formula

Least Common Multiple of 77,45,608 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 77,45,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,45,608) = 1

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

GCF(77,45,608) x common factors =1 x 1 = 1

LCM(77,45,608) = ( 77 × 45 × 608 ) / 1

LCM(77,45,608) = 2106720 / 1

LCM(77,45,608) = 2106720


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 199/77, 237/45, 259/608

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 199/77, 237/45, 259/608?

Answer: GCF of Numerators as per given numbers 199/77, 237/45, 259/608 is

GCF of Numerators i.e. for 199,237,259 is 1

LCM of denominators i.e. for 77,45,608 is 2106720.

Thus, GCF of Fractions is 1/2106720.Finally, GCF of Fractions for 199/77, 237/45, 259/608 is 1/2106720.