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 282/298, 3532/828

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 282/298, 3532/828 i.e 2/123372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 282/298, 3532/828.

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 282/298,3532/828?

Given fractions are 282/298,3532/828

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 282/298,3532/828, numerators are 282,3532

Denominators are 298,828

The GCF of 282,3532 is 2 .

LCM of 298,828 is 123372.

The greatest common factor of 282/298,3532/828 = [GCF of 282,3532]/[LCM of 298,828]= 2/123372

Therefore, the GCF of 282/298,3532/828 is 2/123372.

Greatest Common Factor of 282,3532

To find the highest common factor of 282,3532, we have to find the factors of both numbers and list the highest common factor.

The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282

The factors of 3532 are 1, 2, 4, 883, 1766, 3532

The HCF of 282,3532 is 2.

Lets's calculate GCF of 282,3532

Greatest Common Factor (GCF) of 282,3532 By Common Division

2 282, 3532
141, 1766

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

Greatest Common Factor of 282,3532 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,3532 By Matching Biggest Common Factor Method

Now, list down the factors of 282

:

1,2,3,6,47,94,141,282

Now, list down the factors of 3532

:

1,2,4,883,1766,3532

Greatest Common Factor

We found the factors 282,3532 . The biggest common factor number is the GCF number.
So the greatest common factor 282,3532 is 2.

Lets's calculate LCM of 298,828

Lowest Common Multiple of 298,828 using Common Division

2 298, 828
149, 414

∴ So the LCM of the given numbers is 2 x 149 x 414 = 123372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/123372

Therefore, the GCF of Fractions 282/298,3532/828 is 2/123372

Least Common Multiple of 298,828 with GCF Formula

Least Common Multiple of 298,828 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 298,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,828) = 2

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

GCF(298,828) x common factors =2 x 1 = 2

LCM(298,828) = ( 298 × 828 ) / 2

LCM(298,828) = 246744 / 2

LCM(298,828) = 123372


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 282/298, 3532/828

1. What is the HCF of 282,3532?

The HCF of 282,3532 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 282/298, 3532/828?

Answer: GCF of Numerators as per given numbers 282/298, 3532/828 is

GCF of Numerators i.e. for 282,3532 is 2

LCM of denominators i.e. for 298,828 is 123372.

Thus, GCF of Fractions is 2/123372.Finally, GCF of Fractions for 282/298, 3532/828 is 2/123372.