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GCF of 3041/208, 1347/3922

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 3041/208, 1347/3922 i.e 1/407888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3041/208, 1347/3922.

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 3041/208,1347/3922?

Given fractions are 3041/208,1347/3922

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 3041/208,1347/3922, numerators are 3041,1347

Denominators are 208,3922

The GCF of 3041,1347 is 1 .

LCM of 208,3922 is 407888.

The greatest common factor of 3041/208,1347/3922 = [GCF of 3041,1347]/[LCM of 208,3922]= 1/407888

Therefore, the GCF of 3041/208,1347/3922 is 1/407888.

Greatest Common Factor of 3041,1347

To find the highest common factor of 3041,1347, we have to find the factors of both numbers and list the highest common factor.

The factors of 3041 are 1, 3041

The factors of 1347 are 1, 3, 449, 1347

The HCF of 3041,1347 is 1.

Lets's calculate GCF of 3041,1347

Greatest Common Factor (GCF) of 3041,1347 By Common Division

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

Greatest Common Factor of 3041,1347 By Matching Biggest Common Factor Method

Greatest Common Factor of 3041,1347 By Matching Biggest Common Factor Method

Now, list down the factors of 3041

:

1,3041

Now, list down the factors of 1347

:

1,3,449,1347

Greatest Common Factor

We found the factors 3041,1347 . The biggest common factor number is the GCF number.
So the greatest common factor 3041,1347 is 1.

Lets's calculate LCM of 208,3922

Lowest Common Multiple of 208,3922 using Common Division

2 208, 3922
104, 1961

∴ So the LCM of the given numbers is 2 x 104 x 1961 = 407888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407888

Therefore, the GCF of Fractions 3041/208,1347/3922 is 1/407888

Least Common Multiple of 208,3922 with GCF Formula

Least Common Multiple of 208,3922 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 208,3922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,3922) = 2

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

GCF(208,3922) x common factors =2 x 1 = 2

LCM(208,3922) = ( 208 × 3922 ) / 2

LCM(208,3922) = 815776 / 2

LCM(208,3922) = 407888


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FAQs on GCF of Fractions of 3041/208, 1347/3922

1. What is the HCF of 3041,1347?

The HCF of 3041,1347 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 3041/208, 1347/3922?

Answer: GCF of Numerators as per given numbers 3041/208, 1347/3922 is

GCF of Numerators i.e. for 3041,1347 is 1

LCM of denominators i.e. for 208,3922 is 407888.

Thus, GCF of Fractions is 1/407888.Finally, GCF of Fractions for 3041/208, 1347/3922 is 1/407888.