How to Find GCF of 4299/960, 7691/4564?

GCF of 4299/960, 7691/4564

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 4299/960, 7691/4564 i.e 1/1095360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4299/960, 7691/4564.

Enter two or more fractions separated by "commas"

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

What is the GCF of 4299/960,7691/4564?

Given fractions are 4299/960,7691/4564

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 4299/960,7691/4564, numerators are 4299,7691

Denominators are 960,4564

The GCF of 4299,7691 is 1 .

LCM of 960,4564 is 1095360.

The greatest common factor of 4299/960,7691/4564 = [GCF of 4299,7691]/[LCM of 960,4564]= 1/1095360

Therefore, the GCF of 4299/960,7691/4564 is 1/1095360.

Greatest Common Factor of 4299,7691

To find the highest common factor of 4299,7691, we have to find the factors of both numbers and list the highest common factor.

The factors of 4299 are 1, 3, 1433, 4299

The factors of 7691 are 1, 7691

The HCF of 4299,7691 is 1.

Lets's calculate GCF of 4299,7691

Greatest Common Factor (GCF) of 4299,7691 By Common Division

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

Greatest Common Factor of 4299,7691 By Matching Biggest Common Factor Method

Now, list down the factors of 4299

1,3,1433,4299

Now, list down the factors of 7691

1,7691

Greatest Common Factor

We found the factors 4299,7691 . The biggest common factor number is the GCF number.
So the greatest common factor 4299,7691 is 1.

Lets's calculate LCM of 960,4564

Lowest Common Multiple of 960,4564 using Common Division

2	960, 4564
2	480, 2282
	240, 1141

∴ So the LCM of the given numbers is 2 x 2 x 240 x 1141 = 1095360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1095360

Therefore, the GCF of Fractions 4299/960,7691/4564 is 1/1095360

Least Common Multiple of 960,4564 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 960,4564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,4564) = 4

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

GCF(960,4564) x common factors =4 x 1 = 4

LCM(960,4564) = ( 960 × 4564 ) / 4

LCM(960,4564) = 4381440 / 4

LCM(960,4564) = 1095360

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FAQs on GCF of Fractions of 4299/960, 7691/4564

1. What is the HCF of 4299,7691?

The HCF of 4299,7691 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 4299/960, 7691/4564?

Answer: GCF of Numerators as per given numbers 4299/960, 7691/4564 is

GCF of Numerators i.e. for 4299,7691 is 1

LCM of denominators i.e. for 960,4564 is 1095360.

Thus, GCF of Fractions is 1/1095360.Finally, GCF of Fractions for 4299/960, 7691/4564 is 1/1095360.