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GCF of 817/984, 3217/8592

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 817/984, 3217/8592 i.e 1/352272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 817/984, 3217/8592.

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 817/984,3217/8592?

Given fractions are 817/984,3217/8592

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 817/984,3217/8592, numerators are 817,3217

Denominators are 984,8592

The GCF of 817,3217 is 1 .

LCM of 984,8592 is 352272.

The greatest common factor of 817/984,3217/8592 = [GCF of 817,3217]/[LCM of 984,8592]= 1/352272

Therefore, the GCF of 817/984,3217/8592 is 1/352272.

Greatest Common Factor of 817,3217

To find the highest common factor of 817,3217, we have to find the factors of both numbers and list the highest common factor.

The factors of 817 are 1, 19, 43, 817

The factors of 3217 are 1, 3217

The HCF of 817,3217 is 1.

Lets's calculate GCF of 817,3217

Greatest Common Factor (GCF) of 817,3217 By Common Division

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

Greatest Common Factor of 817,3217 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,3217 By Matching Biggest Common Factor Method

Now, list down the factors of 817

:

1,19,43,817

Now, list down the factors of 3217

:

1,3217

Greatest Common Factor

We found the factors 817,3217 . The biggest common factor number is the GCF number.
So the greatest common factor 817,3217 is 1.

Lets's calculate LCM of 984,8592

Lowest Common Multiple of 984,8592 using Common Division

2 984, 8592
2 492, 4296
2 246, 2148
3 123, 1074
41, 358

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 358 = 352272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352272

Therefore, the GCF of Fractions 817/984,3217/8592 is 1/352272

Least Common Multiple of 984,8592 with GCF Formula

Least Common Multiple of 984,8592 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 984,8592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,8592) = 24

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

GCF(984,8592) x common factors =24 x 1 = 24

LCM(984,8592) = ( 984 × 8592 ) / 24

LCM(984,8592) = 8454528 / 24

LCM(984,8592) = 352272


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FAQs on GCF of Fractions of 817/984, 3217/8592

1. What is the HCF of 817,3217?

The HCF of 817,3217 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 817/984, 3217/8592?

Answer: GCF of Numerators as per given numbers 817/984, 3217/8592 is

GCF of Numerators i.e. for 817,3217 is 1

LCM of denominators i.e. for 984,8592 is 352272.

Thus, GCF of Fractions is 1/352272.Finally, GCF of Fractions for 817/984, 3217/8592 is 1/352272.