How to Find GCF of 9061/143, 1019/3151?

GCF of 9061/143, 1019/3151

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 9061/143, 1019/3151 i.e 1/450593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9061/143, 1019/3151.

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 9061/143,1019/3151?

Given fractions are 9061/143,1019/3151

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 9061/143,1019/3151, numerators are 9061,1019

Denominators are 143,3151

The GCF of 9061,1019 is 1 .

LCM of 143,3151 is 450593.

The greatest common factor of 9061/143,1019/3151 = [GCF of 9061,1019]/[LCM of 143,3151]= 1/450593

Therefore, the GCF of 9061/143,1019/3151 is 1/450593.

Greatest Common Factor of 9061,1019

To find the highest common factor of 9061,1019, we have to find the factors of both numbers and list the highest common factor.

The factors of 9061 are 1, 13, 17, 41, 221, 533, 697, 9061

The factors of 1019 are 1, 1019

The HCF of 9061,1019 is 1.

Lets's calculate GCF of 9061,1019

Greatest Common Factor (GCF) of 9061,1019 By Common Division

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

Greatest Common Factor of 9061,1019 By Matching Biggest Common Factor Method

Now, list down the factors of 9061

1,13,17,41,221,533,697,9061

Now, list down the factors of 1019

1,1019

Greatest Common Factor

We found the factors 9061,1019 . The biggest common factor number is the GCF number.
So the greatest common factor 9061,1019 is 1.

Lets's calculate LCM of 143,3151

Lowest Common Multiple of 143,3151 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 450593

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/450593

Therefore, the GCF of Fractions 9061/143,1019/3151 is 1/450593

Least Common Multiple of 143,3151 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 143,3151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,3151) = 1

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

GCF(143,3151) x common factors =1 x 1 = 1

LCM(143,3151) = ( 143 × 3151 ) / 1

LCM(143,3151) = 450593 / 1

LCM(143,3151) = 450593

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9061/143, 1019/3151

1. What is the HCF of 9061,1019?

The HCF of 9061,1019 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 9061/143, 1019/3151?

Answer: GCF of Numerators as per given numbers 9061/143, 1019/3151 is

GCF of Numerators i.e. for 9061,1019 is 1

LCM of denominators i.e. for 143,3151 is 450593.

Thus, GCF of Fractions is 1/450593.Finally, GCF of Fractions for 9061/143, 1019/3151 is 1/450593.