GCF of 4359/159, 8097/8944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4359/159, 8097/8944 i.e 3/1422096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4359/159, 8097/8944.
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 4359/159,8097/8944?
Given fractions are 4359/159,8097/8944
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 4359/159,8097/8944, numerators are 4359,8097
Denominators are 159,8944
The GCF of 4359,8097 is 3 .
LCM of 159,8944 is 1422096.
The greatest common factor of 4359/159,8097/8944 = [GCF of 4359,8097]/[LCM of 159,8944]= 3/1422096
Therefore, the GCF of 4359/159,8097/8944 is 3/1422096.
To find the highest common factor of 4359,8097, we have to find the factors of both numbers and list the highest common factor.
The factors of 4359 are 1, 3, 1453, 4359
The factors of 8097 are 1, 3, 2699, 8097
The HCF of 4359,8097 is 3.
Lets's calculate GCF of 4359,8097
| 3 | 4359, 8097 |
| 1453, 2699 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4359,8097 By Matching Biggest Common Factor Method
Now, list down the factors of 4359
:1,3,1453,4359
Now, list down the factors of 8097
:1,3,2699,8097
Greatest Common Factor
We found the factors 4359,8097 . The biggest common factor number is the GCF number.
So the greatest common factor 4359,8097 is 3.
Lets's calculate LCM of 159,8944
Given numbers has no common factors except 1. So, there LCM is their product i.e 1422096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1422096
Therefore, the GCF of Fractions 4359/159,8097/8944 is 3/1422096
Least Common Multiple of 159,8944 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 159,8944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,8944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,8944) x common factors =1 x 1 = 1
LCM(159,8944) = ( 159 × 8944 ) / 1
LCM(159,8944) = 1422096 / 1
LCM(159,8944) = 1422096
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FAQs on GCF of Fractions of 4359/159, 8097/8944
1. What is the HCF of 4359,8097?
The HCF of 4359,8097 is 3
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 4359/159, 8097/8944?
Answer: GCF of Numerators as per given numbers 4359/159, 8097/8944 is
GCF of Numerators i.e. for 4359,8097 is 3
LCM of denominators i.e. for 159,8944 is 1422096.
Thus, GCF of Fractions is 3/1422096.Finally, GCF of Fractions for 4359/159, 8097/8944 is 3/1422096.