GCF of 4721/121, 5587/361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4721/121, 5587/361 i.e 1/43681 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4721/121, 5587/361.
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 4721/121,5587/361?
Given fractions are 4721/121,5587/361
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 4721/121,5587/361, numerators are 4721,5587
Denominators are 121,361
The GCF of 4721,5587 is 1 .
LCM of 121,361 is 43681.
The greatest common factor of 4721/121,5587/361 = [GCF of 4721,5587]/[LCM of 121,361]= 1/43681
Therefore, the GCF of 4721/121,5587/361 is 1/43681.
To find the highest common factor of 4721,5587, we have to find the factors of both numbers and list the highest common factor.
The factors of 4721 are 1, 4721
The factors of 5587 are 1, 37, 151, 5587
The HCF of 4721,5587 is 1.
Lets's calculate GCF of 4721,5587
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4721,5587 By Matching Biggest Common Factor Method
Now, list down the factors of 4721
:1,4721
Now, list down the factors of 5587
:1,37,151,5587
Greatest Common Factor
We found the factors 4721,5587 . The biggest common factor number is the GCF number.
So the greatest common factor 4721,5587 is 1.
Lets's calculate LCM of 121,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 43681
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43681
Therefore, the GCF of Fractions 4721/121,5587/361 is 1/43681
Least Common Multiple of 121,361 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 121,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,361) x common factors =1 x 1 = 1
LCM(121,361) = ( 121 × 361 ) / 1
LCM(121,361) = 43681 / 1
LCM(121,361) = 43681
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FAQs on GCF of Fractions of 4721/121, 5587/361
1. What is the HCF of 4721,5587?
The HCF of 4721,5587 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 4721/121, 5587/361?
Answer: GCF of Numerators as per given numbers 4721/121, 5587/361 is
GCF of Numerators i.e. for 4721,5587 is 1
LCM of denominators i.e. for 121,361 is 43681.
Thus, GCF of Fractions is 1/43681.Finally, GCF of Fractions for 4721/121, 5587/361 is 1/43681.