How to Find GCF of 286/140, 3798/826?

GCF of 286/140, 3798/826

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 286/140, 3798/826 i.e 2/8260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 286/140, 3798/826.

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 286/140,3798/826?

Given fractions are 286/140,3798/826

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 286/140,3798/826, numerators are 286,3798

Denominators are 140,826

The GCF of 286,3798 is 2 .

LCM of 140,826 is 8260.

The greatest common factor of 286/140,3798/826 = [GCF of 286,3798]/[LCM of 140,826]= 2/8260

Therefore, the GCF of 286/140,3798/826 is 2/8260.

Greatest Common Factor of 286,3798

To find the highest common factor of 286,3798, we have to find the factors of both numbers and list the highest common factor.

The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286

The factors of 3798 are 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798

The HCF of 286,3798 is 2.

Lets's calculate GCF of 286,3798

Greatest Common Factor (GCF) of 286,3798 By Common Division

2	286, 3798
	143, 1899

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

Greatest Common Factor of 286,3798 By Matching Biggest Common Factor Method

Now, list down the factors of 286

1,2,11,13,22,26,143,286

Now, list down the factors of 3798

1,2,3,6,9,18,211,422,633,1266,1899,3798

Greatest Common Factor

We found the factors 286,3798 . The biggest common factor number is the GCF number.
So the greatest common factor 286,3798 is 2.

Lets's calculate LCM of 140,826

Lowest Common Multiple of 140,826 using Common Division

2	140, 826
7	70, 413
	10, 59

∴ So the LCM of the given numbers is 2 x 7 x 10 x 59 = 8260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8260

Therefore, the GCF of Fractions 286/140,3798/826 is 2/8260

Least Common Multiple of 140,826 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 140,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,826) = 14

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

GCF(140,826) x common factors =14 x 1 = 14

LCM(140,826) = ( 140 × 826 ) / 14

LCM(140,826) = 115640 / 14

LCM(140,826) = 8260

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 286/140, 3798/826

1. What is the HCF of 286,3798?

The HCF of 286,3798 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 286/140, 3798/826?

Answer: GCF of Numerators as per given numbers 286/140, 3798/826 is

GCF of Numerators i.e. for 286,3798 is 2

LCM of denominators i.e. for 140,826 is 8260.

Thus, GCF of Fractions is 2/8260.Finally, GCF of Fractions for 286/140, 3798/826 is 2/8260.