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GCF of 1541/354, 8081/3224

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 1541/354, 8081/3224 i.e 1/570648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1541/354, 8081/3224.

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 1541/354,8081/3224?

Given fractions are 1541/354,8081/3224

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 1541/354,8081/3224, numerators are 1541,8081

Denominators are 354,3224

The GCF of 1541,8081 is 1 .

LCM of 354,3224 is 570648.

The greatest common factor of 1541/354,8081/3224 = [GCF of 1541,8081]/[LCM of 354,3224]= 1/570648

Therefore, the GCF of 1541/354,8081/3224 is 1/570648.

Greatest Common Factor of 1541,8081

To find the highest common factor of 1541,8081, we have to find the factors of both numbers and list the highest common factor.

The factors of 1541 are 1, 23, 67, 1541

The factors of 8081 are 1, 8081

The HCF of 1541,8081 is 1.

Lets's calculate GCF of 1541,8081

Greatest Common Factor (GCF) of 1541,8081 By Common Division

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

Greatest Common Factor of 1541,8081 By Matching Biggest Common Factor Method

Greatest Common Factor of 1541,8081 By Matching Biggest Common Factor Method

Now, list down the factors of 1541

:

1,23,67,1541

Now, list down the factors of 8081

:

1,8081

Greatest Common Factor

We found the factors 1541,8081 . The biggest common factor number is the GCF number.
So the greatest common factor 1541,8081 is 1.

Lets's calculate LCM of 354,3224

Lowest Common Multiple of 354,3224 using Common Division

2 354, 3224
177, 1612

∴ So the LCM of the given numbers is 2 x 177 x 1612 = 570648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/570648

Therefore, the GCF of Fractions 1541/354,8081/3224 is 1/570648

Least Common Multiple of 354,3224 with GCF Formula

Least Common Multiple of 354,3224 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 354,3224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,3224) = 2

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

GCF(354,3224) x common factors =2 x 1 = 2

LCM(354,3224) = ( 354 × 3224 ) / 2

LCM(354,3224) = 1141296 / 2

LCM(354,3224) = 570648


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FAQs on GCF of Fractions of 1541/354, 8081/3224

1. What is the HCF of 1541,8081?

The HCF of 1541,8081 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 1541/354, 8081/3224?

Answer: GCF of Numerators as per given numbers 1541/354, 8081/3224 is

GCF of Numerators i.e. for 1541,8081 is 1

LCM of denominators i.e. for 354,3224 is 570648.

Thus, GCF of Fractions is 1/570648.Finally, GCF of Fractions for 1541/354, 8081/3224 is 1/570648.