How to Find GCF of 8707/806, 8202/1016?

GCF of 8707/806, 8202/1016

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 8707/806, 8202/1016 i.e 1/409448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8707/806, 8202/1016.

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 8707/806,8202/1016?

Given fractions are 8707/806,8202/1016

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 8707/806,8202/1016, numerators are 8707,8202

Denominators are 806,1016

The GCF of 8707,8202 is 1 .

LCM of 806,1016 is 409448.

The greatest common factor of 8707/806,8202/1016 = [GCF of 8707,8202]/[LCM of 806,1016]= 1/409448

Therefore, the GCF of 8707/806,8202/1016 is 1/409448.

Greatest Common Factor of 8707,8202

To find the highest common factor of 8707,8202, we have to find the factors of both numbers and list the highest common factor.

The factors of 8707 are 1, 8707

The factors of 8202 are 1, 2, 3, 6, 1367, 2734, 4101, 8202

The HCF of 8707,8202 is 1.

Lets's calculate GCF of 8707,8202

Greatest Common Factor (GCF) of 8707,8202 By Common Division

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

Greatest Common Factor of 8707,8202 By Matching Biggest Common Factor Method

Now, list down the factors of 8707

1,8707

Now, list down the factors of 8202

1,2,3,6,1367,2734,4101,8202

Greatest Common Factor

We found the factors 8707,8202 . The biggest common factor number is the GCF number.
So the greatest common factor 8707,8202 is 1.

Lets's calculate LCM of 806,1016

Lowest Common Multiple of 806,1016 using Common Division

2	806, 1016
	403, 508

∴ So the LCM of the given numbers is 2 x 403 x 508 = 409448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/409448

Therefore, the GCF of Fractions 8707/806,8202/1016 is 1/409448

Least Common Multiple of 806,1016 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 806,1016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,1016) = 2

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

GCF(806,1016) x common factors =2 x 1 = 2

LCM(806,1016) = ( 806 × 1016 ) / 2

LCM(806,1016) = 818896 / 2

LCM(806,1016) = 409448

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8707/806, 8202/1016

1. What is the HCF of 8707,8202?

The HCF of 8707,8202 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 8707/806, 8202/1016?

Answer: GCF of Numerators as per given numbers 8707/806, 8202/1016 is

GCF of Numerators i.e. for 8707,8202 is 1

LCM of denominators i.e. for 806,1016 is 409448.

Thus, GCF of Fractions is 1/409448.Finally, GCF of Fractions for 8707/806, 8202/1016 is 1/409448.