GCF of 4721/372, 3839/6154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4721/372, 3839/6154 i.e 1/1144644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4721/372, 3839/6154.
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 4721/372,3839/6154?
Given fractions are 4721/372,3839/6154
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 4721/372,3839/6154, numerators are 4721,3839
Denominators are 372,6154
The GCF of 4721,3839 is 1 .
LCM of 372,6154 is 1144644.
The greatest common factor of 4721/372,3839/6154 = [GCF of 4721,3839]/[LCM of 372,6154]= 1/1144644
Therefore, the GCF of 4721/372,3839/6154 is 1/1144644.
To find the highest common factor of 4721,3839, 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 3839 are 1, 11, 349, 3839
The HCF of 4721,3839 is 1.
Lets's calculate GCF of 4721,3839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4721,3839 By Matching Biggest Common Factor Method
Now, list down the factors of 4721
:1,4721
Now, list down the factors of 3839
:1,11,349,3839
Greatest Common Factor
We found the factors 4721,3839 . The biggest common factor number is the GCF number.
So the greatest common factor 4721,3839 is 1.
Lets's calculate LCM of 372,6154
| 2 | 372, 6154 |
| 186, 3077 |
∴ So the LCM of the given numbers is 2 x 186 x 3077 = 1144644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1144644
Therefore, the GCF of Fractions 4721/372,3839/6154 is 1/1144644
Least Common Multiple of 372,6154 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 372,6154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,6154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(372,6154) x common factors =2 x 1 = 2
LCM(372,6154) = ( 372 × 6154 ) / 2
LCM(372,6154) = 2289288 / 2
LCM(372,6154) = 1144644
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FAQs on GCF of Fractions of 4721/372, 3839/6154
1. What is the HCF of 4721,3839?
The HCF of 4721,3839 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 4721/372, 3839/6154?
Answer: GCF of Numerators as per given numbers 4721/372, 3839/6154 is
GCF of Numerators i.e. for 4721,3839 is 1
LCM of denominators i.e. for 372,6154 is 1144644.
Thus, GCF of Fractions is 1/1144644.Finally, GCF of Fractions for 4721/372, 3839/6154 is 1/1144644.