How to Find GCF of 5045/381, 2617/427?

GCF of 5045/381, 2617/427

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 5045/381, 2617/427 i.e 1/162687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5045/381, 2617/427.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5045/381,2617/427?

Given fractions are 5045/381,2617/427

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 5045/381,2617/427, numerators are 5045,2617

Denominators are 381,427

The GCF of 5045,2617 is 1 .

LCM of 381,427 is 162687.

The greatest common factor of 5045/381,2617/427 = [GCF of 5045,2617]/[LCM of 381,427]= 1/162687

Therefore, the GCF of 5045/381,2617/427 is 1/162687.

Greatest Common Factor of 5045,2617

To find the highest common factor of 5045,2617, we have to find the factors of both numbers and list the highest common factor.

The factors of 5045 are 1, 5, 1009, 5045

The factors of 2617 are 1, 2617

The HCF of 5045,2617 is 1.

Lets's calculate GCF of 5045,2617

Greatest Common Factor (GCF) of 5045,2617 By Common Division

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

Greatest Common Factor of 5045,2617 By Matching Biggest Common Factor Method

Now, list down the factors of 5045

1,5,1009,5045

Now, list down the factors of 2617

1,2617

Greatest Common Factor

We found the factors 5045,2617 . The biggest common factor number is the GCF number.
So the greatest common factor 5045,2617 is 1.

Lets's calculate LCM of 381,427

Lowest Common Multiple of 381,427 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 162687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162687

Therefore, the GCF of Fractions 5045/381,2617/427 is 1/162687

Least Common Multiple of 381,427 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 381,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,427) = 1

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

GCF(381,427) x common factors =1 x 1 = 1

LCM(381,427) = ( 381 × 427 ) / 1

LCM(381,427) = 162687 / 1

LCM(381,427) = 162687

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5045/381, 2617/427

1. What is the HCF of 5045,2617?

The HCF of 5045,2617 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 5045/381, 2617/427?

Answer: GCF of Numerators as per given numbers 5045/381, 2617/427 is

GCF of Numerators i.e. for 5045,2617 is 1

LCM of denominators i.e. for 381,427 is 162687.

Thus, GCF of Fractions is 1/162687.Finally, GCF of Fractions for 5045/381, 2617/427 is 1/162687.