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GCF of 4566/329, 9382/505

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 4566/329, 9382/505 i.e 2/166145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4566/329, 9382/505.

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 4566/329,9382/505?

Given fractions are 4566/329,9382/505

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 4566/329,9382/505, numerators are 4566,9382

Denominators are 329,505

The GCF of 4566,9382 is 2 .

LCM of 329,505 is 166145.

The greatest common factor of 4566/329,9382/505 = [GCF of 4566,9382]/[LCM of 329,505]= 2/166145

Therefore, the GCF of 4566/329,9382/505 is 2/166145.

Greatest Common Factor of 4566,9382

To find the highest common factor of 4566,9382, we have to find the factors of both numbers and list the highest common factor.

The factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566

The factors of 9382 are 1, 2, 4691, 9382

The HCF of 4566,9382 is 2.

Lets's calculate GCF of 4566,9382

Greatest Common Factor (GCF) of 4566,9382 By Common Division

2 4566, 9382
2283, 4691

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4566,9382 By Matching Biggest Common Factor Method

Greatest Common Factor of 4566,9382 By Matching Biggest Common Factor Method

Now, list down the factors of 4566

:

1,2,3,6,761,1522,2283,4566

Now, list down the factors of 9382

:

1,2,4691,9382

Greatest Common Factor

We found the factors 4566,9382 . The biggest common factor number is the GCF number.
So the greatest common factor 4566,9382 is 2.

Lets's calculate LCM of 329,505

Lowest Common Multiple of 329,505 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 166145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166145

Therefore, the GCF of Fractions 4566/329,9382/505 is 2/166145

Least Common Multiple of 329,505 with GCF Formula

Least Common Multiple of 329,505 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 329,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,505) = 1

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

GCF(329,505) x common factors =1 x 1 = 1

LCM(329,505) = ( 329 × 505 ) / 1

LCM(329,505) = 166145 / 1

LCM(329,505) = 166145


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FAQs on GCF of Fractions of 4566/329, 9382/505

1. What is the HCF of 4566,9382?

The HCF of 4566,9382 is 2

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 4566/329, 9382/505?

Answer: GCF of Numerators as per given numbers 4566/329, 9382/505 is

GCF of Numerators i.e. for 4566,9382 is 2

LCM of denominators i.e. for 329,505 is 166145.

Thus, GCF of Fractions is 2/166145.Finally, GCF of Fractions for 4566/329, 9382/505 is 2/166145.