GCF of 9332/291, 6104/3005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9332/291, 6104/3005 i.e 4/874455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9332/291, 6104/3005.
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 9332/291,6104/3005?
Given fractions are 9332/291,6104/3005
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 9332/291,6104/3005, numerators are 9332,6104
Denominators are 291,3005
The GCF of 9332,6104 is 4 .
LCM of 291,3005 is 874455.
The greatest common factor of 9332/291,6104/3005 = [GCF of 9332,6104]/[LCM of 291,3005]= 4/874455
Therefore, the GCF of 9332/291,6104/3005 is 4/874455.
To find the highest common factor of 9332,6104, we have to find the factors of both numbers and list the highest common factor.
The factors of 9332 are 1, 2, 4, 2333, 4666, 9332
The factors of 6104 are 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104
The HCF of 9332,6104 is 4.
Lets's calculate GCF of 9332,6104
| 2 | 9332, 6104 |
| 2 | 4666, 3052 |
| 2333, 1526 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9332,6104 By Matching Biggest Common Factor Method
Now, list down the factors of 9332
:1,2,4,2333,4666,9332
Now, list down the factors of 6104
:1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104
Greatest Common Factor
We found the factors 9332,6104 . The biggest common factor number is the GCF number.
So the greatest common factor 9332,6104 is 4.
Lets's calculate LCM of 291,3005
Given numbers has no common factors except 1. So, there LCM is their product i.e 874455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/874455
Therefore, the GCF of Fractions 9332/291,6104/3005 is 4/874455
Least Common Multiple of 291,3005 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 291,3005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,3005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,3005) x common factors =1 x 1 = 1
LCM(291,3005) = ( 291 × 3005 ) / 1
LCM(291,3005) = 874455 / 1
LCM(291,3005) = 874455
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FAQs on GCF of Fractions of 9332/291, 6104/3005
1. What is the HCF of 9332,6104?
The HCF of 9332,6104 is 4
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 9332/291, 6104/3005?
Answer: GCF of Numerators as per given numbers 9332/291, 6104/3005 is
GCF of Numerators i.e. for 9332,6104 is 4
LCM of denominators i.e. for 291,3005 is 874455.
Thus, GCF of Fractions is 4/874455.Finally, GCF of Fractions for 9332/291, 6104/3005 is 4/874455.