GCF of 7291/141, 4701/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7291/141, 4701/420 i.e 1/19740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7291/141, 4701/420.
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 7291/141,4701/420?
Given fractions are 7291/141,4701/420
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 7291/141,4701/420, numerators are 7291,4701
Denominators are 141,420
The GCF of 7291,4701 is 1 .
LCM of 141,420 is 19740.
The greatest common factor of 7291/141,4701/420 = [GCF of 7291,4701]/[LCM of 141,420]= 1/19740
Therefore, the GCF of 7291/141,4701/420 is 1/19740.
To find the highest common factor of 7291,4701, we have to find the factors of both numbers and list the highest common factor.
The factors of 7291 are 1, 23, 317, 7291
The factors of 4701 are 1, 3, 1567, 4701
The HCF of 7291,4701 is 1.
Lets's calculate GCF of 7291,4701
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7291,4701 By Matching Biggest Common Factor Method
Now, list down the factors of 7291
:1,23,317,7291
Now, list down the factors of 4701
:1,3,1567,4701
Greatest Common Factor
We found the factors 7291,4701 . The biggest common factor number is the GCF number.
So the greatest common factor 7291,4701 is 1.
Lets's calculate LCM of 141,420
| 3 | 141, 420 |
| 47, 140 |
∴ So the LCM of the given numbers is 3 x 47 x 140 = 19740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19740
Therefore, the GCF of Fractions 7291/141,4701/420 is 1/19740
Least Common Multiple of 141,420 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 141,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,420) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(141,420) x common factors =3 x 1 = 3
LCM(141,420) = ( 141 × 420 ) / 3
LCM(141,420) = 59220 / 3
LCM(141,420) = 19740
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FAQs on GCF of Fractions of 7291/141, 4701/420
1. What is the HCF of 7291,4701?
The HCF of 7291,4701 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 7291/141, 4701/420?
Answer: GCF of Numerators as per given numbers 7291/141, 4701/420 is
GCF of Numerators i.e. for 7291,4701 is 1
LCM of denominators i.e. for 141,420 is 19740.
Thus, GCF of Fractions is 1/19740.Finally, GCF of Fractions for 7291/141, 4701/420 is 1/19740.