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GCF of 340/811, 1217/521

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 340/811, 1217/521 i.e 1/422531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/811, 1217/521.

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 340/811,1217/521?

Given fractions are 340/811,1217/521

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 340/811,1217/521, numerators are 340,1217

Denominators are 811,521

The GCF of 340,1217 is 1 .

LCM of 811,521 is 422531.

The greatest common factor of 340/811,1217/521 = [GCF of 340,1217]/[LCM of 811,521]= 1/422531

Therefore, the GCF of 340/811,1217/521 is 1/422531.

Greatest Common Factor of 340,1217

To find the highest common factor of 340,1217, we have to find the factors of both numbers and list the highest common factor.

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

The factors of 1217 are 1, 1217

The HCF of 340,1217 is 1.

Lets's calculate GCF of 340,1217

Greatest Common Factor (GCF) of 340,1217 By Common Division

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

Greatest Common Factor of 340,1217 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,1217 By Matching Biggest Common Factor Method

Now, list down the factors of 340

:

1,2,4,5,10,17,20,34,68,85,170,340

Now, list down the factors of 1217

:

1,1217

Greatest Common Factor

We found the factors 340,1217 . The biggest common factor number is the GCF number.
So the greatest common factor 340,1217 is 1.

Lets's calculate LCM of 811,521

Lowest Common Multiple of 811,521 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 422531

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422531

Therefore, the GCF of Fractions 340/811,1217/521 is 1/422531

Least Common Multiple of 811,521 with GCF Formula

Least Common Multiple of 811,521 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 811,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,521) = 1

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

GCF(811,521) x common factors =1 x 1 = 1

LCM(811,521) = ( 811 × 521 ) / 1

LCM(811,521) = 422531 / 1

LCM(811,521) = 422531


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FAQs on GCF of Fractions of 340/811, 1217/521

1. What is the HCF of 340,1217?

The HCF of 340,1217 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 340/811, 1217/521?

Answer: GCF of Numerators as per given numbers 340/811, 1217/521 is

GCF of Numerators i.e. for 340,1217 is 1

LCM of denominators i.e. for 811,521 is 422531.

Thus, GCF of Fractions is 1/422531.Finally, GCF of Fractions for 340/811, 1217/521 is 1/422531.