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GCF of 191/31, 226/9781

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 191/31, 226/9781 i.e 1/303211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 191/31, 226/9781.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 191/31,226/9781?

Given fractions are 191/31,226/9781

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 191/31,226/9781, numerators are 191,226

Denominators are 31,9781

The GCF of 191,226 is 1 .

LCM of 31,9781 is 303211.

The greatest common factor of 191/31,226/9781 = [GCF of 191,226]/[LCM of 31,9781]= 1/303211

Therefore, the GCF of 191/31,226/9781 is 1/303211.

Greatest Common Factor of 191,226

To find the highest common factor of 191,226, we have to find the factors of both numbers and list the highest common factor.

The factors of 191 are 1, 191

The factors of 226 are 1, 2, 113, 226

The HCF of 191,226 is 1.

Lets's calculate GCF of 191,226

Greatest Common Factor (GCF) of 191,226 By Common Division

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

Greatest Common Factor of 191,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,226 By Matching Biggest Common Factor Method

Now, list down the factors of 191

:

1,191

Now, list down the factors of 226

:

1,2,113,226

Greatest Common Factor

We found the factors 191,226 . The biggest common factor number is the GCF number.
So the greatest common factor 191,226 is 1.

Lets's calculate LCM of 31,9781

Lowest Common Multiple of 31,9781 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 303211

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303211

Therefore, the GCF of Fractions 191/31,226/9781 is 1/303211

Least Common Multiple of 31,9781 with GCF Formula

Least Common Multiple of 31,9781 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 31,9781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,9781) = 1

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

GCF(31,9781) x common factors =1 x 1 = 1

LCM(31,9781) = ( 31 × 9781 ) / 1

LCM(31,9781) = 303211 / 1

LCM(31,9781) = 303211


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 191/31, 226/9781

1. What is the HCF of 191,226?

The HCF of 191,226 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 191/31, 226/9781?

Answer: GCF of Numerators as per given numbers 191/31, 226/9781 is

GCF of Numerators i.e. for 191,226 is 1

LCM of denominators i.e. for 31,9781 is 303211.

Thus, GCF of Fractions is 1/303211.Finally, GCF of Fractions for 191/31, 226/9781 is 1/303211.