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 8141/556, 1427/2024

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 8141/556, 1427/2024 i.e 1/281336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8141/556, 1427/2024.

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 8141/556,1427/2024?

Given fractions are 8141/556,1427/2024

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 8141/556,1427/2024, numerators are 8141,1427

Denominators are 556,2024

The GCF of 8141,1427 is 1 .

LCM of 556,2024 is 281336.

The greatest common factor of 8141/556,1427/2024 = [GCF of 8141,1427]/[LCM of 556,2024]= 1/281336

Therefore, the GCF of 8141/556,1427/2024 is 1/281336.

Greatest Common Factor of 8141,1427

To find the highest common factor of 8141,1427, we have to find the factors of both numbers and list the highest common factor.

The factors of 8141 are 1, 7, 1163, 8141

The factors of 1427 are 1, 1427

The HCF of 8141,1427 is 1.

Lets's calculate GCF of 8141,1427

Greatest Common Factor (GCF) of 8141,1427 By Common Division

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

Greatest Common Factor of 8141,1427 By Matching Biggest Common Factor Method

Greatest Common Factor of 8141,1427 By Matching Biggest Common Factor Method

Now, list down the factors of 8141

:

1,7,1163,8141

Now, list down the factors of 1427

:

1,1427

Greatest Common Factor

We found the factors 8141,1427 . The biggest common factor number is the GCF number.
So the greatest common factor 8141,1427 is 1.

Lets's calculate LCM of 556,2024

Lowest Common Multiple of 556,2024 using Common Division

2 556, 2024
2 278, 1012
139, 506

∴ So the LCM of the given numbers is 2 x 2 x 139 x 506 = 281336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281336

Therefore, the GCF of Fractions 8141/556,1427/2024 is 1/281336

Least Common Multiple of 556,2024 with GCF Formula

Least Common Multiple of 556,2024 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 556,2024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,2024) = 4

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

GCF(556,2024) x common factors =4 x 1 = 4

LCM(556,2024) = ( 556 × 2024 ) / 4

LCM(556,2024) = 1125344 / 4

LCM(556,2024) = 281336


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8141/556, 1427/2024

1. What is the HCF of 8141,1427?

The HCF of 8141,1427 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 8141/556, 1427/2024?

Answer: GCF of Numerators as per given numbers 8141/556, 1427/2024 is

GCF of Numerators i.e. for 8141,1427 is 1

LCM of denominators i.e. for 556,2024 is 281336.

Thus, GCF of Fractions is 1/281336.Finally, GCF of Fractions for 8141/556, 1427/2024 is 1/281336.