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GCF of 4607/116, 2339/313

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 4607/116, 2339/313 i.e 1/36308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4607/116, 2339/313.

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 4607/116,2339/313?

Given fractions are 4607/116,2339/313

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 4607/116,2339/313, numerators are 4607,2339

Denominators are 116,313

The GCF of 4607,2339 is 1 .

LCM of 116,313 is 36308.

The greatest common factor of 4607/116,2339/313 = [GCF of 4607,2339]/[LCM of 116,313]= 1/36308

Therefore, the GCF of 4607/116,2339/313 is 1/36308.

Greatest Common Factor of 4607,2339

To find the highest common factor of 4607,2339, we have to find the factors of both numbers and list the highest common factor.

The factors of 4607 are 1, 17, 271, 4607

The factors of 2339 are 1, 2339

The HCF of 4607,2339 is 1.

Lets's calculate GCF of 4607,2339

Greatest Common Factor (GCF) of 4607,2339 By Common Division

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

Greatest Common Factor of 4607,2339 By Matching Biggest Common Factor Method

Greatest Common Factor of 4607,2339 By Matching Biggest Common Factor Method

Now, list down the factors of 4607

:

1,17,271,4607

Now, list down the factors of 2339

:

1,2339

Greatest Common Factor

We found the factors 4607,2339 . The biggest common factor number is the GCF number.
So the greatest common factor 4607,2339 is 1.

Lets's calculate LCM of 116,313

Lowest Common Multiple of 116,313 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 36308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36308

Therefore, the GCF of Fractions 4607/116,2339/313 is 1/36308

Least Common Multiple of 116,313 with GCF Formula

Least Common Multiple of 116,313 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 116,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,313) = 1

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

GCF(116,313) x common factors =1 x 1 = 1

LCM(116,313) = ( 116 × 313 ) / 1

LCM(116,313) = 36308 / 1

LCM(116,313) = 36308


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FAQs on GCF of Fractions of 4607/116, 2339/313

1. What is the HCF of 4607,2339?

The HCF of 4607,2339 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 4607/116, 2339/313?

Answer: GCF of Numerators as per given numbers 4607/116, 2339/313 is

GCF of Numerators i.e. for 4607,2339 is 1

LCM of denominators i.e. for 116,313 is 36308.

Thus, GCF of Fractions is 1/36308.Finally, GCF of Fractions for 4607/116, 2339/313 is 1/36308.