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GCF of 8881/354, 4649/812

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 8881/354, 4649/812 i.e 1/143724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8881/354, 4649/812.

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 8881/354,4649/812?

Given fractions are 8881/354,4649/812

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 8881/354,4649/812, numerators are 8881,4649

Denominators are 354,812

The GCF of 8881,4649 is 1 .

LCM of 354,812 is 143724.

The greatest common factor of 8881/354,4649/812 = [GCF of 8881,4649]/[LCM of 354,812]= 1/143724

Therefore, the GCF of 8881/354,4649/812 is 1/143724.

Greatest Common Factor of 8881,4649

To find the highest common factor of 8881,4649, we have to find the factors of both numbers and list the highest common factor.

The factors of 8881 are 1, 83, 107, 8881

The factors of 4649 are 1, 4649

The HCF of 8881,4649 is 1.

Lets's calculate GCF of 8881,4649

Greatest Common Factor (GCF) of 8881,4649 By Common Division

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

Greatest Common Factor of 8881,4649 By Matching Biggest Common Factor Method

Greatest Common Factor of 8881,4649 By Matching Biggest Common Factor Method

Now, list down the factors of 8881

:

1,83,107,8881

Now, list down the factors of 4649

:

1,4649

Greatest Common Factor

We found the factors 8881,4649 . The biggest common factor number is the GCF number.
So the greatest common factor 8881,4649 is 1.

Lets's calculate LCM of 354,812

Lowest Common Multiple of 354,812 using Common Division

2 354, 812
177, 406

∴ So the LCM of the given numbers is 2 x 177 x 406 = 143724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143724

Therefore, the GCF of Fractions 8881/354,4649/812 is 1/143724

Least Common Multiple of 354,812 with GCF Formula

Least Common Multiple of 354,812 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 354,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,812) = 2

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

GCF(354,812) x common factors =2 x 1 = 2

LCM(354,812) = ( 354 × 812 ) / 2

LCM(354,812) = 287448 / 2

LCM(354,812) = 143724


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FAQs on GCF of Fractions of 8881/354, 4649/812

1. What is the HCF of 8881,4649?

The HCF of 8881,4649 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 8881/354, 4649/812?

Answer: GCF of Numerators as per given numbers 8881/354, 4649/812 is

GCF of Numerators i.e. for 8881,4649 is 1

LCM of denominators i.e. for 354,812 is 143724.

Thus, GCF of Fractions is 1/143724.Finally, GCF of Fractions for 8881/354, 4649/812 is 1/143724.