GCF of 9980/766, 8025/4496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9980/766, 8025/4496 i.e 5/1721968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9980/766, 8025/4496.
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 9980/766,8025/4496?
Given fractions are 9980/766,8025/4496
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 9980/766,8025/4496, numerators are 9980,8025
Denominators are 766,4496
The GCF of 9980,8025 is 5 .
LCM of 766,4496 is 1721968.
The greatest common factor of 9980/766,8025/4496 = [GCF of 9980,8025]/[LCM of 766,4496]= 5/1721968
Therefore, the GCF of 9980/766,8025/4496 is 5/1721968.
To find the highest common factor of 9980,8025, we have to find the factors of both numbers and list the highest common factor.
The factors of 9980 are 1, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980
The factors of 8025 are 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025
The HCF of 9980,8025 is 5.
Lets's calculate GCF of 9980,8025
| 5 | 9980, 8025 |
| 1996, 1605 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9980,8025 By Matching Biggest Common Factor Method
Now, list down the factors of 9980
:1,2,4,5,10,20,499,998,1996,2495,4990,9980
Now, list down the factors of 8025
:1,3,5,15,25,75,107,321,535,1605,2675,8025
Greatest Common Factor
We found the factors 9980,8025 . The biggest common factor number is the GCF number.
So the greatest common factor 9980,8025 is 5.
Lets's calculate LCM of 766,4496
| 2 | 766, 4496 |
| 383, 2248 |
∴ So the LCM of the given numbers is 2 x 383 x 2248 = 1721968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1721968
Therefore, the GCF of Fractions 9980/766,8025/4496 is 5/1721968
Least Common Multiple of 766,4496 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 766,4496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,4496) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,4496) x common factors =2 x 1 = 2
LCM(766,4496) = ( 766 × 4496 ) / 2
LCM(766,4496) = 3443936 / 2
LCM(766,4496) = 1721968
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FAQs on GCF of Fractions of 9980/766, 8025/4496
1. What is the HCF of 9980,8025?
The HCF of 9980,8025 is 5
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 9980/766, 8025/4496?
Answer: GCF of Numerators as per given numbers 9980/766, 8025/4496 is
GCF of Numerators i.e. for 9980,8025 is 5
LCM of denominators i.e. for 766,4496 is 1721968.
Thus, GCF of Fractions is 5/1721968.Finally, GCF of Fractions for 9980/766, 8025/4496 is 5/1721968.