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 381/214, 5255/454

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 381/214, 5255/454 i.e 1/48578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 381/214, 5255/454.

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 381/214,5255/454?

Given fractions are 381/214,5255/454

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 381/214,5255/454, numerators are 381,5255

Denominators are 214,454

The GCF of 381,5255 is 1 .

LCM of 214,454 is 48578.

The greatest common factor of 381/214,5255/454 = [GCF of 381,5255]/[LCM of 214,454]= 1/48578

Therefore, the GCF of 381/214,5255/454 is 1/48578.

Greatest Common Factor of 381,5255

To find the highest common factor of 381,5255, we have to find the factors of both numbers and list the highest common factor.

The factors of 381 are 1, 3, 127, 381

The factors of 5255 are 1, 5, 1051, 5255

The HCF of 381,5255 is 1.

Lets's calculate GCF of 381,5255

Greatest Common Factor (GCF) of 381,5255 By Common Division

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

Greatest Common Factor of 381,5255 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,5255 By Matching Biggest Common Factor Method

Now, list down the factors of 381

:

1,3,127,381

Now, list down the factors of 5255

:

1,5,1051,5255

Greatest Common Factor

We found the factors 381,5255 . The biggest common factor number is the GCF number.
So the greatest common factor 381,5255 is 1.

Lets's calculate LCM of 214,454

Lowest Common Multiple of 214,454 using Common Division

2 214, 454
107, 227

∴ So the LCM of the given numbers is 2 x 107 x 227 = 48578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48578

Therefore, the GCF of Fractions 381/214,5255/454 is 1/48578

Least Common Multiple of 214,454 with GCF Formula

Least Common Multiple of 214,454 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 214,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,454) = 2

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

GCF(214,454) x common factors =2 x 1 = 2

LCM(214,454) = ( 214 × 454 ) / 2

LCM(214,454) = 97156 / 2

LCM(214,454) = 48578


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 381/214, 5255/454

1. What is the HCF of 381,5255?

The HCF of 381,5255 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 381/214, 5255/454?

Answer: GCF of Numerators as per given numbers 381/214, 5255/454 is

GCF of Numerators i.e. for 381,5255 is 1

LCM of denominators i.e. for 214,454 is 48578.

Thus, GCF of Fractions is 1/48578.Finally, GCF of Fractions for 381/214, 5255/454 is 1/48578.