GCF of 9788/715, 4118/1620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9788/715, 4118/1620 i.e 2/231660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9788/715, 4118/1620.
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 9788/715,4118/1620?
Given fractions are 9788/715,4118/1620
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 9788/715,4118/1620, numerators are 9788,4118
Denominators are 715,1620
The GCF of 9788,4118 is 2 .
LCM of 715,1620 is 231660.
The greatest common factor of 9788/715,4118/1620 = [GCF of 9788,4118]/[LCM of 715,1620]= 2/231660
Therefore, the GCF of 9788/715,4118/1620 is 2/231660.
To find the highest common factor of 9788,4118, we have to find the factors of both numbers and list the highest common factor.
The factors of 9788 are 1, 2, 4, 2447, 4894, 9788
The factors of 4118 are 1, 2, 29, 58, 71, 142, 2059, 4118
The HCF of 9788,4118 is 2.
Lets's calculate GCF of 9788,4118
| 2 | 9788, 4118 |
| 4894, 2059 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9788,4118 By Matching Biggest Common Factor Method
Now, list down the factors of 9788
:1,2,4,2447,4894,9788
Now, list down the factors of 4118
:1,2,29,58,71,142,2059,4118
Greatest Common Factor
We found the factors 9788,4118 . The biggest common factor number is the GCF number.
So the greatest common factor 9788,4118 is 2.
Lets's calculate LCM of 715,1620
| 5 | 715, 1620 |
| 143, 324 |
∴ So the LCM of the given numbers is 5 x 143 x 324 = 231660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/231660
Therefore, the GCF of Fractions 9788/715,4118/1620 is 2/231660
Least Common Multiple of 715,1620 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 715,1620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,1620) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,1620) x common factors =5 x 1 = 5
LCM(715,1620) = ( 715 × 1620 ) / 5
LCM(715,1620) = 1158300 / 5
LCM(715,1620) = 231660
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FAQs on GCF of Fractions of 9788/715, 4118/1620
1. What is the HCF of 9788,4118?
The HCF of 9788,4118 is 2
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 9788/715, 4118/1620?
Answer: GCF of Numerators as per given numbers 9788/715, 4118/1620 is
GCF of Numerators i.e. for 9788,4118 is 2
LCM of denominators i.e. for 715,1620 is 231660.
Thus, GCF of Fractions is 2/231660.Finally, GCF of Fractions for 9788/715, 4118/1620 is 2/231660.