How to Find GCF of 611/307, 7466/3131?

GCF of 611/307, 7466/3131

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 611/307, 7466/3131 i.e 1/961217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 611/307, 7466/3131.

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 611/307,7466/3131?

Given fractions are 611/307,7466/3131

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 611/307,7466/3131, numerators are 611,7466

Denominators are 307,3131

The GCF of 611,7466 is 1 .

LCM of 307,3131 is 961217.

The greatest common factor of 611/307,7466/3131 = [GCF of 611,7466]/[LCM of 307,3131]= 1/961217

Therefore, the GCF of 611/307,7466/3131 is 1/961217.

Greatest Common Factor of 611,7466

To find the highest common factor of 611,7466, we have to find the factors of both numbers and list the highest common factor.

The factors of 611 are 1, 13, 47, 611

The factors of 7466 are 1, 2, 3733, 7466

The HCF of 611,7466 is 1.

Lets's calculate GCF of 611,7466

Greatest Common Factor (GCF) of 611,7466 By Common Division

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

Greatest Common Factor of 611,7466 By Matching Biggest Common Factor Method

Now, list down the factors of 611

1,13,47,611

Now, list down the factors of 7466

1,2,3733,7466

Greatest Common Factor

We found the factors 611,7466 . The biggest common factor number is the GCF number.
So the greatest common factor 611,7466 is 1.

Lets's calculate LCM of 307,3131

Lowest Common Multiple of 307,3131 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 961217

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/961217

Therefore, the GCF of Fractions 611/307,7466/3131 is 1/961217

Least Common Multiple of 307,3131 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 307,3131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,3131) = 1

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

GCF(307,3131) x common factors =1 x 1 = 1

LCM(307,3131) = ( 307 × 3131 ) / 1

LCM(307,3131) = 961217 / 1

LCM(307,3131) = 961217

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FAQs on GCF of Fractions of 611/307, 7466/3131

1. What is the HCF of 611,7466?

The HCF of 611,7466 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 611/307, 7466/3131?

Answer: GCF of Numerators as per given numbers 611/307, 7466/3131 is

GCF of Numerators i.e. for 611,7466 is 1

LCM of denominators i.e. for 307,3131 is 961217.

Thus, GCF of Fractions is 1/961217.Finally, GCF of Fractions for 611/307, 7466/3131 is 1/961217.