GCF of 4601/348, 3691/501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4601/348, 3691/501 i.e 1/58116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4601/348, 3691/501.
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 4601/348,3691/501?
Given fractions are 4601/348,3691/501
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 4601/348,3691/501, numerators are 4601,3691
Denominators are 348,501
The GCF of 4601,3691 is 1 .
LCM of 348,501 is 58116.
The greatest common factor of 4601/348,3691/501 = [GCF of 4601,3691]/[LCM of 348,501]= 1/58116
Therefore, the GCF of 4601/348,3691/501 is 1/58116.
To find the highest common factor of 4601,3691, we have to find the factors of both numbers and list the highest common factor.
The factors of 4601 are 1, 43, 107, 4601
The factors of 3691 are 1, 3691
The HCF of 4601,3691 is 1.
Lets's calculate GCF of 4601,3691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4601,3691 By Matching Biggest Common Factor Method
Now, list down the factors of 4601
:1,43,107,4601
Now, list down the factors of 3691
:1,3691
Greatest Common Factor
We found the factors 4601,3691 . The biggest common factor number is the GCF number.
So the greatest common factor 4601,3691 is 1.
Lets's calculate LCM of 348,501
| 3 | 348, 501 |
| 116, 167 |
∴ So the LCM of the given numbers is 3 x 116 x 167 = 58116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58116
Therefore, the GCF of Fractions 4601/348,3691/501 is 1/58116
Least Common Multiple of 348,501 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 348,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,501) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(348,501) x common factors =3 x 1 = 3
LCM(348,501) = ( 348 × 501 ) / 3
LCM(348,501) = 174348 / 3
LCM(348,501) = 58116
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FAQs on GCF of Fractions of 4601/348, 3691/501
1. What is the HCF of 4601,3691?
The HCF of 4601,3691 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 4601/348, 3691/501?
Answer: GCF of Numerators as per given numbers 4601/348, 3691/501 is
GCF of Numerators i.e. for 4601,3691 is 1
LCM of denominators i.e. for 348,501 is 58116.
Thus, GCF of Fractions is 1/58116.Finally, GCF of Fractions for 4601/348, 3691/501 is 1/58116.