GCF of 9416/452, 8500/6088
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9416/452, 8500/6088 i.e 4/687944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9416/452, 8500/6088.
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 9416/452,8500/6088?
Given fractions are 9416/452,8500/6088
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 9416/452,8500/6088, numerators are 9416,8500
Denominators are 452,6088
The GCF of 9416,8500 is 4 .
LCM of 452,6088 is 687944.
The greatest common factor of 9416/452,8500/6088 = [GCF of 9416,8500]/[LCM of 452,6088]= 4/687944
Therefore, the GCF of 9416/452,8500/6088 is 4/687944.
To find the highest common factor of 9416,8500, we have to find the factors of both numbers and list the highest common factor.
The factors of 9416 are 1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416
The factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500
The HCF of 9416,8500 is 4.
Lets's calculate GCF of 9416,8500
| 2 | 9416, 8500 |
| 2 | 4708, 4250 |
| 2354, 2125 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9416,8500 By Matching Biggest Common Factor Method
Now, list down the factors of 9416
:1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416
Now, list down the factors of 8500
:1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500
Greatest Common Factor
We found the factors 9416,8500 . The biggest common factor number is the GCF number.
So the greatest common factor 9416,8500 is 4.
Lets's calculate LCM of 452,6088
| 2 | 452, 6088 |
| 2 | 226, 3044 |
| 113, 1522 |
∴ So the LCM of the given numbers is 2 x 2 x 113 x 1522 = 687944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/687944
Therefore, the GCF of Fractions 9416/452,8500/6088 is 4/687944
Least Common Multiple of 452,6088 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 452,6088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,6088) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(452,6088) x common factors =4 x 1 = 4
LCM(452,6088) = ( 452 × 6088 ) / 4
LCM(452,6088) = 2751776 / 4
LCM(452,6088) = 687944
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FAQs on GCF of Fractions of 9416/452, 8500/6088
1. What is the HCF of 9416,8500?
The HCF of 9416,8500 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 9416/452, 8500/6088?
Answer: GCF of Numerators as per given numbers 9416/452, 8500/6088 is
GCF of Numerators i.e. for 9416,8500 is 4
LCM of denominators i.e. for 452,6088 is 687944.
Thus, GCF of Fractions is 4/687944.Finally, GCF of Fractions for 9416/452, 8500/6088 is 4/687944.