How to Find GCF of 8230/527, 8668/3510?

GCF of 8230/527, 8668/3510

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 8230/527, 8668/3510 i.e 2/1849770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8230/527, 8668/3510.

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 8230/527,8668/3510?

Given fractions are 8230/527,8668/3510

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 8230/527,8668/3510, numerators are 8230,8668

Denominators are 527,3510

The GCF of 8230,8668 is 2 .

LCM of 527,3510 is 1849770.

The greatest common factor of 8230/527,8668/3510 = [GCF of 8230,8668]/[LCM of 527,3510]= 2/1849770

Therefore, the GCF of 8230/527,8668/3510 is 2/1849770.

Greatest Common Factor of 8230,8668

To find the highest common factor of 8230,8668, we have to find the factors of both numbers and list the highest common factor.

The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230

The factors of 8668 are 1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334, 8668

The HCF of 8230,8668 is 2.

Lets's calculate GCF of 8230,8668

Greatest Common Factor (GCF) of 8230,8668 By Common Division

2	8230, 8668
	4115, 4334

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8230,8668 By Matching Biggest Common Factor Method

Now, list down the factors of 8230

1,2,5,10,823,1646,4115,8230

Now, list down the factors of 8668

1,2,4,11,22,44,197,394,788,2167,4334,8668

Greatest Common Factor

We found the factors 8230,8668 . The biggest common factor number is the GCF number.
So the greatest common factor 8230,8668 is 2.

Lets's calculate LCM of 527,3510

Lowest Common Multiple of 527,3510 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1849770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1849770

Therefore, the GCF of Fractions 8230/527,8668/3510 is 2/1849770

Least Common Multiple of 527,3510 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 527,3510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,3510) = 1

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

GCF(527,3510) x common factors =1 x 1 = 1

LCM(527,3510) = ( 527 × 3510 ) / 1

LCM(527,3510) = 1849770 / 1

LCM(527,3510) = 1849770

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8230/527, 8668/3510

1. What is the HCF of 8230,8668?

The HCF of 8230,8668 is 2

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 8230/527, 8668/3510?

Answer: GCF of Numerators as per given numbers 8230/527, 8668/3510 is

GCF of Numerators i.e. for 8230,8668 is 2

LCM of denominators i.e. for 527,3510 is 1849770.

Thus, GCF of Fractions is 2/1849770.Finally, GCF of Fractions for 8230/527, 8668/3510 is 2/1849770.