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GCF of 4082/764, 7673/334

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 4082/764, 7673/334 i.e 1/127588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4082/764, 7673/334.

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 4082/764,7673/334?

Given fractions are 4082/764,7673/334

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 4082/764,7673/334, numerators are 4082,7673

Denominators are 764,334

The GCF of 4082,7673 is 1 .

LCM of 764,334 is 127588.

The greatest common factor of 4082/764,7673/334 = [GCF of 4082,7673]/[LCM of 764,334]= 1/127588

Therefore, the GCF of 4082/764,7673/334 is 1/127588.

Greatest Common Factor of 4082,7673

To find the highest common factor of 4082,7673, we have to find the factors of both numbers and list the highest common factor.

The factors of 4082 are 1, 2, 13, 26, 157, 314, 2041, 4082

The factors of 7673 are 1, 7673

The HCF of 4082,7673 is 1.

Lets's calculate GCF of 4082,7673

Greatest Common Factor (GCF) of 4082,7673 By Common Division

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

Greatest Common Factor of 4082,7673 By Matching Biggest Common Factor Method

Greatest Common Factor of 4082,7673 By Matching Biggest Common Factor Method

Now, list down the factors of 4082

:

1,2,13,26,157,314,2041,4082

Now, list down the factors of 7673

:

1,7673

Greatest Common Factor

We found the factors 4082,7673 . The biggest common factor number is the GCF number.
So the greatest common factor 4082,7673 is 1.

Lets's calculate LCM of 764,334

Lowest Common Multiple of 764,334 using Common Division

2 764, 334
382, 167

∴ So the LCM of the given numbers is 2 x 382 x 167 = 127588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127588

Therefore, the GCF of Fractions 4082/764,7673/334 is 1/127588

Least Common Multiple of 764,334 with GCF Formula

Least Common Multiple of 764,334 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 764,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,334) = 2

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

GCF(764,334) x common factors =2 x 1 = 2

LCM(764,334) = ( 764 × 334 ) / 2

LCM(764,334) = 255176 / 2

LCM(764,334) = 127588


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4082/764, 7673/334

1. What is the HCF of 4082,7673?

The HCF of 4082,7673 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 4082/764, 7673/334?

Answer: GCF of Numerators as per given numbers 4082/764, 7673/334 is

GCF of Numerators i.e. for 4082,7673 is 1

LCM of denominators i.e. for 764,334 is 127588.

Thus, GCF of Fractions is 1/127588.Finally, GCF of Fractions for 4082/764, 7673/334 is 1/127588.