GCF of 5928/650, 7116/589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5928/650, 7116/589 i.e 12/382850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5928/650, 7116/589.
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 5928/650,7116/589?
Given fractions are 5928/650,7116/589
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 5928/650,7116/589, numerators are 5928,7116
Denominators are 650,589
The GCF of 5928,7116 is 12 .
LCM of 650,589 is 382850.
The greatest common factor of 5928/650,7116/589 = [GCF of 5928,7116]/[LCM of 650,589]= 12/382850
Therefore, the GCF of 5928/650,7116/589 is 12/382850.
To find the highest common factor of 5928,7116, we have to find the factors of both numbers and list the highest common factor.
The factors of 5928 are 1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928
The factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116
The HCF of 5928,7116 is 12.
Lets's calculate GCF of 5928,7116
| 2 | 5928, 7116 |
| 2 | 2964, 3558 |
| 3 | 1482, 1779 |
| 494, 593 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5928,7116 By Matching Biggest Common Factor Method
Now, list down the factors of 5928
:1,2,3,4,6,8,12,13,19,24,26,38,39,52,57,76,78,104,114,152,156,228,247,312,456,494,741,988,1482,1976,2964,5928
Now, list down the factors of 7116
:1,2,3,4,6,12,593,1186,1779,2372,3558,7116
Greatest Common Factor
We found the factors 5928,7116 . The biggest common factor number is the GCF number.
So the greatest common factor 5928,7116 is 12.
Lets's calculate LCM of 650,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 382850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/382850
Therefore, the GCF of Fractions 5928/650,7116/589 is 12/382850
Least Common Multiple of 650,589 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 650,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(650,589) x common factors =1 x 1 = 1
LCM(650,589) = ( 650 × 589 ) / 1
LCM(650,589) = 382850 / 1
LCM(650,589) = 382850
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FAQs on GCF of Fractions of 5928/650, 7116/589
1. What is the HCF of 5928,7116?
The HCF of 5928,7116 is 12
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 5928/650, 7116/589?
Answer: GCF of Numerators as per given numbers 5928/650, 7116/589 is
GCF of Numerators i.e. for 5928,7116 is 12
LCM of denominators i.e. for 650,589 is 382850.
Thus, GCF of Fractions is 12/382850.Finally, GCF of Fractions for 5928/650, 7116/589 is 12/382850.