How to Find GCF of 8287/529, 1606/920?

GCF of 8287/529, 1606/920

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 8287/529, 1606/920 i.e 1/21160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8287/529, 1606/920.

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 8287/529,1606/920?

Given fractions are 8287/529,1606/920

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 8287/529,1606/920, numerators are 8287,1606

Denominators are 529,920

The GCF of 8287,1606 is 1 .

LCM of 529,920 is 21160.

The greatest common factor of 8287/529,1606/920 = [GCF of 8287,1606]/[LCM of 529,920]= 1/21160

Therefore, the GCF of 8287/529,1606/920 is 1/21160.

Greatest Common Factor of 8287,1606

To find the highest common factor of 8287,1606, we have to find the factors of both numbers and list the highest common factor.

The factors of 8287 are 1, 8287

The factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606

The HCF of 8287,1606 is 1.

Lets's calculate GCF of 8287,1606

Greatest Common Factor (GCF) of 8287,1606 By Common Division

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

Greatest Common Factor of 8287,1606 By Matching Biggest Common Factor Method

Now, list down the factors of 8287

1,8287

Now, list down the factors of 1606

1,2,11,22,73,146,803,1606

Greatest Common Factor

We found the factors 8287,1606 . The biggest common factor number is the GCF number.
So the greatest common factor 8287,1606 is 1.

Lets's calculate LCM of 529,920

Lowest Common Multiple of 529,920 using Common Division

23	529, 920
	23, 40

∴ So the LCM of the given numbers is 23 x 23 x 40 = 21160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21160

Therefore, the GCF of Fractions 8287/529,1606/920 is 1/21160

Least Common Multiple of 529,920 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 529,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,920) = 23

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

GCF(529,920) x common factors =23 x 1 = 23

LCM(529,920) = ( 529 × 920 ) / 23

LCM(529,920) = 486680 / 23

LCM(529,920) = 21160

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FAQs on GCF of Fractions of 8287/529, 1606/920

1. What is the HCF of 8287,1606?

The HCF of 8287,1606 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 8287/529, 1606/920?

Answer: GCF of Numerators as per given numbers 8287/529, 1606/920 is

GCF of Numerators i.e. for 8287,1606 is 1

LCM of denominators i.e. for 529,920 is 21160.

Thus, GCF of Fractions is 1/21160.Finally, GCF of Fractions for 8287/529, 1606/920 is 1/21160.