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 678/420, 281/580

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 678/420, 281/580 i.e 1/12180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 678/420, 281/580.

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 678/420,281/580?

Given fractions are 678/420,281/580

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 678/420,281/580, numerators are 678,281

Denominators are 420,580

The GCF of 678,281 is 1 .

LCM of 420,580 is 12180.

The greatest common factor of 678/420,281/580 = [GCF of 678,281]/[LCM of 420,580]= 1/12180

Therefore, the GCF of 678/420,281/580 is 1/12180.

Greatest Common Factor of 678,281

To find the highest common factor of 678,281, we have to find the factors of both numbers and list the highest common factor.

The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678

The factors of 281 are 1, 281

The HCF of 678,281 is 1.

Lets's calculate GCF of 678,281

Greatest Common Factor (GCF) of 678,281 By Common Division

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

Greatest Common Factor of 678,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,281 By Matching Biggest Common Factor Method

Now, list down the factors of 678

:

1,2,3,6,113,226,339,678

Now, list down the factors of 281

:

1,281

Greatest Common Factor

We found the factors 678,281 . The biggest common factor number is the GCF number.
So the greatest common factor 678,281 is 1.

Lets's calculate LCM of 420,580

Lowest Common Multiple of 420,580 using Common Division

2 420, 580
2 210, 290
5 105, 145
21, 29

∴ So the LCM of the given numbers is 2 x 2 x 5 x 21 x 29 = 12180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12180

Therefore, the GCF of Fractions 678/420,281/580 is 1/12180

Least Common Multiple of 420,580 with GCF Formula

Least Common Multiple of 420,580 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 420,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,580) = 20

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

GCF(420,580) x common factors =20 x 1 = 20

LCM(420,580) = ( 420 × 580 ) / 20

LCM(420,580) = 243600 / 20

LCM(420,580) = 12180


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 678/420, 281/580

1. What is the HCF of 678,281?

The HCF of 678,281 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 678/420, 281/580?

Answer: GCF of Numerators as per given numbers 678/420, 281/580 is

GCF of Numerators i.e. for 678,281 is 1

LCM of denominators i.e. for 420,580 is 12180.

Thus, GCF of Fractions is 1/12180.Finally, GCF of Fractions for 678/420, 281/580 is 1/12180.