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GCF of 7717/342, 9011/2191

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 7717/342, 9011/2191 i.e 1/749322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7717/342, 9011/2191.

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 7717/342,9011/2191?

Given fractions are 7717/342,9011/2191

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 7717/342,9011/2191, numerators are 7717,9011

Denominators are 342,2191

The GCF of 7717,9011 is 1 .

LCM of 342,2191 is 749322.

The greatest common factor of 7717/342,9011/2191 = [GCF of 7717,9011]/[LCM of 342,2191]= 1/749322

Therefore, the GCF of 7717/342,9011/2191 is 1/749322.

Greatest Common Factor of 7717,9011

To find the highest common factor of 7717,9011, we have to find the factors of both numbers and list the highest common factor.

The factors of 7717 are 1, 7717

The factors of 9011 are 1, 9011

The HCF of 7717,9011 is 1.

Lets's calculate GCF of 7717,9011

Greatest Common Factor (GCF) of 7717,9011 By Common Division

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

Greatest Common Factor of 7717,9011 By Matching Biggest Common Factor Method

Greatest Common Factor of 7717,9011 By Matching Biggest Common Factor Method

Now, list down the factors of 7717

:

1,7717

Now, list down the factors of 9011

:

1,9011

Greatest Common Factor

We found the factors 7717,9011 . The biggest common factor number is the GCF number.
So the greatest common factor 7717,9011 is 1.

Lets's calculate LCM of 342,2191

Lowest Common Multiple of 342,2191 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 749322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749322

Therefore, the GCF of Fractions 7717/342,9011/2191 is 1/749322

Least Common Multiple of 342,2191 with GCF Formula

Least Common Multiple of 342,2191 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 342,2191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,2191) = 1

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

GCF(342,2191) x common factors =1 x 1 = 1

LCM(342,2191) = ( 342 × 2191 ) / 1

LCM(342,2191) = 749322 / 1

LCM(342,2191) = 749322


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FAQs on GCF of Fractions of 7717/342, 9011/2191

1. What is the HCF of 7717,9011?

The HCF of 7717,9011 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 7717/342, 9011/2191?

Answer: GCF of Numerators as per given numbers 7717/342, 9011/2191 is

GCF of Numerators i.e. for 7717,9011 is 1

LCM of denominators i.e. for 342,2191 is 749322.

Thus, GCF of Fractions is 1/749322.Finally, GCF of Fractions for 7717/342, 9011/2191 is 1/749322.