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GCF of 817/610, 4581/208

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 817/610, 4581/208 i.e 1/63440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 817/610, 4581/208.

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 817/610,4581/208?

Given fractions are 817/610,4581/208

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 817/610,4581/208, numerators are 817,4581

Denominators are 610,208

The GCF of 817,4581 is 1 .

LCM of 610,208 is 63440.

The greatest common factor of 817/610,4581/208 = [GCF of 817,4581]/[LCM of 610,208]= 1/63440

Therefore, the GCF of 817/610,4581/208 is 1/63440.

Greatest Common Factor of 817,4581

To find the highest common factor of 817,4581, 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 4581 are 1, 3, 9, 509, 1527, 4581

The HCF of 817,4581 is 1.

Lets's calculate GCF of 817,4581

Greatest Common Factor (GCF) of 817,4581 By Common Division

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

Greatest Common Factor of 817,4581 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,4581 By Matching Biggest Common Factor Method

Now, list down the factors of 817

:

1,19,43,817

Now, list down the factors of 4581

:

1,3,9,509,1527,4581

Greatest Common Factor

We found the factors 817,4581 . The biggest common factor number is the GCF number.
So the greatest common factor 817,4581 is 1.

Lets's calculate LCM of 610,208

Lowest Common Multiple of 610,208 using Common Division

2 610, 208
305, 104

∴ So the LCM of the given numbers is 2 x 305 x 104 = 63440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63440

Therefore, the GCF of Fractions 817/610,4581/208 is 1/63440

Least Common Multiple of 610,208 with GCF Formula

Least Common Multiple of 610,208 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 610,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,208) = 2

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

GCF(610,208) x common factors =2 x 1 = 2

LCM(610,208) = ( 610 × 208 ) / 2

LCM(610,208) = 126880 / 2

LCM(610,208) = 63440


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FAQs on GCF of Fractions of 817/610, 4581/208

1. What is the HCF of 817,4581?

The HCF of 817,4581 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 817/610, 4581/208?

Answer: GCF of Numerators as per given numbers 817/610, 4581/208 is

GCF of Numerators i.e. for 817,4581 is 1

LCM of denominators i.e. for 610,208 is 63440.

Thus, GCF of Fractions is 1/63440.Finally, GCF of Fractions for 817/610, 4581/208 is 1/63440.