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GCF of 4317/766, 2306/1214

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 4317/766, 2306/1214 i.e 1/464962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4317/766, 2306/1214.

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 4317/766,2306/1214?

Given fractions are 4317/766,2306/1214

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 4317/766,2306/1214, numerators are 4317,2306

Denominators are 766,1214

The GCF of 4317,2306 is 1 .

LCM of 766,1214 is 464962.

The greatest common factor of 4317/766,2306/1214 = [GCF of 4317,2306]/[LCM of 766,1214]= 1/464962

Therefore, the GCF of 4317/766,2306/1214 is 1/464962.

Greatest Common Factor of 4317,2306

To find the highest common factor of 4317,2306, we have to find the factors of both numbers and list the highest common factor.

The factors of 4317 are 1, 3, 1439, 4317

The factors of 2306 are 1, 2, 1153, 2306

The HCF of 4317,2306 is 1.

Lets's calculate GCF of 4317,2306

Greatest Common Factor (GCF) of 4317,2306 By Common Division

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

Greatest Common Factor of 4317,2306 By Matching Biggest Common Factor Method

Greatest Common Factor of 4317,2306 By Matching Biggest Common Factor Method

Now, list down the factors of 4317

:

1,3,1439,4317

Now, list down the factors of 2306

:

1,2,1153,2306

Greatest Common Factor

We found the factors 4317,2306 . The biggest common factor number is the GCF number.
So the greatest common factor 4317,2306 is 1.

Lets's calculate LCM of 766,1214

Lowest Common Multiple of 766,1214 using Common Division

2 766, 1214
383, 607

∴ So the LCM of the given numbers is 2 x 383 x 607 = 464962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464962

Therefore, the GCF of Fractions 4317/766,2306/1214 is 1/464962

Least Common Multiple of 766,1214 with GCF Formula

Least Common Multiple of 766,1214 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 766,1214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,1214) = 2

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

GCF(766,1214) x common factors =2 x 1 = 2

LCM(766,1214) = ( 766 × 1214 ) / 2

LCM(766,1214) = 929924 / 2

LCM(766,1214) = 464962


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4317/766, 2306/1214

1. What is the HCF of 4317,2306?

The HCF of 4317,2306 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 4317/766, 2306/1214?

Answer: GCF of Numerators as per given numbers 4317/766, 2306/1214 is

GCF of Numerators i.e. for 4317,2306 is 1

LCM of denominators i.e. for 766,1214 is 464962.

Thus, GCF of Fractions is 1/464962.Finally, GCF of Fractions for 4317/766, 2306/1214 is 1/464962.