GCF of 2161/720, 9434/4895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2161/720, 9434/4895 i.e 1/704880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2161/720, 9434/4895.
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 2161/720,9434/4895?
Given fractions are 2161/720,9434/4895
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 2161/720,9434/4895, numerators are 2161,9434
Denominators are 720,4895
The GCF of 2161,9434 is 1 .
LCM of 720,4895 is 704880.
The greatest common factor of 2161/720,9434/4895 = [GCF of 2161,9434]/[LCM of 720,4895]= 1/704880
Therefore, the GCF of 2161/720,9434/4895 is 1/704880.
To find the highest common factor of 2161,9434, we have to find the factors of both numbers and list the highest common factor.
The factors of 2161 are 1, 2161
The factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434
The HCF of 2161,9434 is 1.
Lets's calculate GCF of 2161,9434
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2161,9434 By Matching Biggest Common Factor Method
Now, list down the factors of 2161
:1,2161
Now, list down the factors of 9434
:1,2,53,89,106,178,4717,9434
Greatest Common Factor
We found the factors 2161,9434 . The biggest common factor number is the GCF number.
So the greatest common factor 2161,9434 is 1.
Lets's calculate LCM of 720,4895
| 5 | 720, 4895 |
| 144, 979 |
∴ So the LCM of the given numbers is 5 x 144 x 979 = 704880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704880
Therefore, the GCF of Fractions 2161/720,9434/4895 is 1/704880
Least Common Multiple of 720,4895 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 720,4895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,4895) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(720,4895) x common factors =5 x 1 = 5
LCM(720,4895) = ( 720 × 4895 ) / 5
LCM(720,4895) = 3524400 / 5
LCM(720,4895) = 704880
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FAQs on GCF of Fractions of 2161/720, 9434/4895
1. What is the HCF of 2161,9434?
The HCF of 2161,9434 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 2161/720, 9434/4895?
Answer: GCF of Numerators as per given numbers 2161/720, 9434/4895 is
GCF of Numerators i.e. for 2161,9434 is 1
LCM of denominators i.e. for 720,4895 is 704880.
Thus, GCF of Fractions is 1/704880.Finally, GCF of Fractions for 2161/720, 9434/4895 is 1/704880.