How to Find GCF of 8298/530, 6287/2252?

GCF of 8298/530, 6287/2252

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 8298/530, 6287/2252 i.e 1/596780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8298/530, 6287/2252.

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 8298/530,6287/2252?

Given fractions are 8298/530,6287/2252

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 8298/530,6287/2252, numerators are 8298,6287

Denominators are 530,2252

The GCF of 8298,6287 is 1 .

LCM of 530,2252 is 596780.

The greatest common factor of 8298/530,6287/2252 = [GCF of 8298,6287]/[LCM of 530,2252]= 1/596780

Therefore, the GCF of 8298/530,6287/2252 is 1/596780.

Greatest Common Factor of 8298,6287

To find the highest common factor of 8298,6287, we have to find the factors of both numbers and list the highest common factor.

The factors of 8298 are 1, 2, 3, 6, 9, 18, 461, 922, 1383, 2766, 4149, 8298

The factors of 6287 are 1, 6287

The HCF of 8298,6287 is 1.

Lets's calculate GCF of 8298,6287

Greatest Common Factor (GCF) of 8298,6287 By Common Division

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

Greatest Common Factor of 8298,6287 By Matching Biggest Common Factor Method

Now, list down the factors of 8298

1,2,3,6,9,18,461,922,1383,2766,4149,8298

Now, list down the factors of 6287

1,6287

Greatest Common Factor

We found the factors 8298,6287 . The biggest common factor number is the GCF number.
So the greatest common factor 8298,6287 is 1.

Lets's calculate LCM of 530,2252

Lowest Common Multiple of 530,2252 using Common Division

2	530, 2252
	265, 1126

∴ So the LCM of the given numbers is 2 x 265 x 1126 = 596780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/596780

Therefore, the GCF of Fractions 8298/530,6287/2252 is 1/596780

Least Common Multiple of 530,2252 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 530,2252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,2252) = 2

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

GCF(530,2252) x common factors =2 x 1 = 2

LCM(530,2252) = ( 530 × 2252 ) / 2

LCM(530,2252) = 1193560 / 2

LCM(530,2252) = 596780

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8298/530, 6287/2252

1. What is the HCF of 8298,6287?

The HCF of 8298,6287 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 8298/530, 6287/2252?

Answer: GCF of Numerators as per given numbers 8298/530, 6287/2252 is

GCF of Numerators i.e. for 8298,6287 is 1

LCM of denominators i.e. for 530,2252 is 596780.

Thus, GCF of Fractions is 1/596780.Finally, GCF of Fractions for 8298/530, 6287/2252 is 1/596780.