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GCF of 1297/487, 3279/919

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 1297/487, 3279/919 i.e 1/447553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1297/487, 3279/919.

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 1297/487,3279/919?

Given fractions are 1297/487,3279/919

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 1297/487,3279/919, numerators are 1297,3279

Denominators are 487,919

The GCF of 1297,3279 is 1 .

LCM of 487,919 is 447553.

The greatest common factor of 1297/487,3279/919 = [GCF of 1297,3279]/[LCM of 487,919]= 1/447553

Therefore, the GCF of 1297/487,3279/919 is 1/447553.

Greatest Common Factor of 1297,3279

To find the highest common factor of 1297,3279, we have to find the factors of both numbers and list the highest common factor.

The factors of 1297 are 1, 1297

The factors of 3279 are 1, 3, 1093, 3279

The HCF of 1297,3279 is 1.

Lets's calculate GCF of 1297,3279

Greatest Common Factor (GCF) of 1297,3279 By Common Division

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

Greatest Common Factor of 1297,3279 By Matching Biggest Common Factor Method

Greatest Common Factor of 1297,3279 By Matching Biggest Common Factor Method

Now, list down the factors of 1297

:

1,1297

Now, list down the factors of 3279

:

1,3,1093,3279

Greatest Common Factor

We found the factors 1297,3279 . The biggest common factor number is the GCF number.
So the greatest common factor 1297,3279 is 1.

Lets's calculate LCM of 487,919

Lowest Common Multiple of 487,919 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 447553

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447553

Therefore, the GCF of Fractions 1297/487,3279/919 is 1/447553

Least Common Multiple of 487,919 with GCF Formula

Least Common Multiple of 487,919 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 487,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,919) = 1

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

GCF(487,919) x common factors =1 x 1 = 1

LCM(487,919) = ( 487 × 919 ) / 1

LCM(487,919) = 447553 / 1

LCM(487,919) = 447553


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FAQs on GCF of Fractions of 1297/487, 3279/919

1. What is the HCF of 1297,3279?

The HCF of 1297,3279 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 1297/487, 3279/919?

Answer: GCF of Numerators as per given numbers 1297/487, 3279/919 is

GCF of Numerators i.e. for 1297,3279 is 1

LCM of denominators i.e. for 487,919 is 447553.

Thus, GCF of Fractions is 1/447553.Finally, GCF of Fractions for 1297/487, 3279/919 is 1/447553.