How to Find GCF of 5217/807, 9521/517?

GCF of 5217/807, 9521/517

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 5217/807, 9521/517 i.e 1/417219 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5217/807, 9521/517.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5217/807,9521/517?

Given fractions are 5217/807,9521/517

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 5217/807,9521/517, numerators are 5217,9521

Denominators are 807,517

The GCF of 5217,9521 is 1 .

LCM of 807,517 is 417219.

The greatest common factor of 5217/807,9521/517 = [GCF of 5217,9521]/[LCM of 807,517]= 1/417219

Therefore, the GCF of 5217/807,9521/517 is 1/417219.

Greatest Common Factor of 5217,9521

To find the highest common factor of 5217,9521, we have to find the factors of both numbers and list the highest common factor.

The factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217

The factors of 9521 are 1, 9521

The HCF of 5217,9521 is 1.

Lets's calculate GCF of 5217,9521

Greatest Common Factor (GCF) of 5217,9521 By Common Division

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

Greatest Common Factor of 5217,9521 By Matching Biggest Common Factor Method

Now, list down the factors of 5217

1,3,37,47,111,141,1739,5217

Now, list down the factors of 9521

1,9521

Greatest Common Factor

We found the factors 5217,9521 . The biggest common factor number is the GCF number.
So the greatest common factor 5217,9521 is 1.

Lets's calculate LCM of 807,517

Lowest Common Multiple of 807,517 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 417219

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417219

Therefore, the GCF of Fractions 5217/807,9521/517 is 1/417219

Least Common Multiple of 807,517 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 807,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,517) = 1

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

GCF(807,517) x common factors =1 x 1 = 1

LCM(807,517) = ( 807 × 517 ) / 1

LCM(807,517) = 417219 / 1

LCM(807,517) = 417219

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FAQs on GCF of Fractions of 5217/807, 9521/517

1. What is the HCF of 5217,9521?

The HCF of 5217,9521 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 5217/807, 9521/517?

Answer: GCF of Numerators as per given numbers 5217/807, 9521/517 is

GCF of Numerators i.e. for 5217,9521 is 1

LCM of denominators i.e. for 807,517 is 417219.

Thus, GCF of Fractions is 1/417219.Finally, GCF of Fractions for 5217/807, 9521/517 is 1/417219.