How to Find GCF of 6638/132, 8827/9548?

GCF of 6638/132, 8827/9548

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 6638/132, 8827/9548 i.e 1/28644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6638/132, 8827/9548.

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 6638/132,8827/9548?

Given fractions are 6638/132,8827/9548

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 6638/132,8827/9548, numerators are 6638,8827

Denominators are 132,9548

The GCF of 6638,8827 is 1 .

LCM of 132,9548 is 28644.

The greatest common factor of 6638/132,8827/9548 = [GCF of 6638,8827]/[LCM of 132,9548]= 1/28644

Therefore, the GCF of 6638/132,8827/9548 is 1/28644.

Greatest Common Factor of 6638,8827

To find the highest common factor of 6638,8827, we have to find the factors of both numbers and list the highest common factor.

The factors of 6638 are 1, 2, 3319, 6638

The factors of 8827 are 1, 7, 13, 91, 97, 679, 1261, 8827

The HCF of 6638,8827 is 1.

Lets's calculate GCF of 6638,8827

Greatest Common Factor (GCF) of 6638,8827 By Common Division

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

Greatest Common Factor of 6638,8827 By Matching Biggest Common Factor Method

Now, list down the factors of 6638

1,2,3319,6638

Now, list down the factors of 8827

1,7,13,91,97,679,1261,8827

Greatest Common Factor

We found the factors 6638,8827 . The biggest common factor number is the GCF number.
So the greatest common factor 6638,8827 is 1.

Lets's calculate LCM of 132,9548

Lowest Common Multiple of 132,9548 using Common Division

2	132, 9548
2	66, 4774
11	33, 2387
	3, 217

∴ So the LCM of the given numbers is 2 x 2 x 11 x 3 x 217 = 28644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28644

Therefore, the GCF of Fractions 6638/132,8827/9548 is 1/28644

Least Common Multiple of 132,9548 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 132,9548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,9548) = 44

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

GCF(132,9548) x common factors =44 x 1 = 44

LCM(132,9548) = ( 132 × 9548 ) / 44

LCM(132,9548) = 1260336 / 44

LCM(132,9548) = 28644

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6638/132, 8827/9548

1. What is the HCF of 6638,8827?

The HCF of 6638,8827 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 6638/132, 8827/9548?

Answer: GCF of Numerators as per given numbers 6638/132, 8827/9548 is

GCF of Numerators i.e. for 6638,8827 is 1

LCM of denominators i.e. for 132,9548 is 28644.

Thus, GCF of Fractions is 1/28644.Finally, GCF of Fractions for 6638/132, 8827/9548 is 1/28644.