LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 451/28, 286/686

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 451/28, 286/686 i.e 11/1372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/28, 286/686.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 451/28,286/686?

Given fractions are 451/28,286/686

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 451/28,286/686, numerators are 451,286

Denominators are 28,686

The GCF of 451,286 is 11 .

LCM of 28,686 is 1372.

The greatest common factor of 451/28,286/686 = [GCF of 451,286]/[LCM of 28,686]= 11/1372

Therefore, the GCF of 451/28,286/686 is 11/1372.

Greatest Common Factor of 451,286

To find the highest common factor of 451,286, we have to find the factors of both numbers and list the highest common factor.

The factors of 451 are 1, 11, 41, 451

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

The HCF of 451,286 is 11.

Lets's calculate GCF of 451,286

Greatest Common Factor (GCF) of 451,286 By Common Division

11 451, 286
41, 26

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 451,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,286 By Matching Biggest Common Factor Method

Now, list down the factors of 451

:

1,11,41,451

Now, list down the factors of 286

:

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

Greatest Common Factor

We found the factors 451,286 . The biggest common factor number is the GCF number.
So the greatest common factor 451,286 is 11.

Lets's calculate LCM of 28,686

Lowest Common Multiple of 28,686 using Common Division

2 28, 686
7 14, 343
2, 49

∴ So the LCM of the given numbers is 2 x 7 x 2 x 49 = 1372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1372

Therefore, the GCF of Fractions 451/28,286/686 is 11/1372

Least Common Multiple of 28,686 with GCF Formula

Least Common Multiple of 28,686 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,686) = 14

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

GCF(28,686) x common factors =14 x 1 = 14

LCM(28,686) = ( 28 × 686 ) / 14

LCM(28,686) = 19208 / 14

LCM(28,686) = 1372


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 451/28, 286/686

1. What is the HCF of 451,286?

The HCF of 451,286 is 11

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 451/28, 286/686?

Answer: GCF of Numerators as per given numbers 451/28, 286/686 is

GCF of Numerators i.e. for 451,286 is 11

LCM of denominators i.e. for 28,686 is 1372.

Thus, GCF of Fractions is 11/1372.Finally, GCF of Fractions for 451/28, 286/686 is 11/1372.