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 284/80, 782/1531

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 284/80, 782/1531 i.e 2/122480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 284/80, 782/1531.

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 284/80,782/1531?

Given fractions are 284/80,782/1531

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 284/80,782/1531, numerators are 284,782

Denominators are 80,1531

The GCF of 284,782 is 2 .

LCM of 80,1531 is 122480.

The greatest common factor of 284/80,782/1531 = [GCF of 284,782]/[LCM of 80,1531]= 2/122480

Therefore, the GCF of 284/80,782/1531 is 2/122480.

Greatest Common Factor of 284,782

To find the highest common factor of 284,782, we have to find the factors of both numbers and list the highest common factor.

The factors of 284 are 1, 2, 4, 71, 142, 284

The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782

The HCF of 284,782 is 2.

Lets's calculate GCF of 284,782

Greatest Common Factor (GCF) of 284,782 By Common Division

2 284, 782
142, 391

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

Greatest Common Factor of 284,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,782 By Matching Biggest Common Factor Method

Now, list down the factors of 284

:

1,2,4,71,142,284

Now, list down the factors of 782

:

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 284,782 . The biggest common factor number is the GCF number.
So the greatest common factor 284,782 is 2.

Lets's calculate LCM of 80,1531

Lowest Common Multiple of 80,1531 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 122480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122480

Therefore, the GCF of Fractions 284/80,782/1531 is 2/122480

Least Common Multiple of 80,1531 with GCF Formula

Least Common Multiple of 80,1531 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 80,1531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,1531) = 1

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

GCF(80,1531) x common factors =1 x 1 = 1

LCM(80,1531) = ( 80 × 1531 ) / 1

LCM(80,1531) = 122480 / 1

LCM(80,1531) = 122480


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 284/80, 782/1531

1. What is the HCF of 284,782?

The HCF of 284,782 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 284/80, 782/1531?

Answer: GCF of Numerators as per given numbers 284/80, 782/1531 is

GCF of Numerators i.e. for 284,782 is 2

LCM of denominators i.e. for 80,1531 is 122480.

Thus, GCF of Fractions is 2/122480.Finally, GCF of Fractions for 284/80, 782/1531 is 2/122480.