GCF of 9788/392, 8938/2946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9788/392, 8938/2946 i.e 2/577416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9788/392, 8938/2946.
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 9788/392,8938/2946?
Given fractions are 9788/392,8938/2946
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 9788/392,8938/2946, numerators are 9788,8938
Denominators are 392,2946
The GCF of 9788,8938 is 2 .
LCM of 392,2946 is 577416.
The greatest common factor of 9788/392,8938/2946 = [GCF of 9788,8938]/[LCM of 392,2946]= 2/577416
Therefore, the GCF of 9788/392,8938/2946 is 2/577416.
To find the highest common factor of 9788,8938, 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 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938
The HCF of 9788,8938 is 2.
Lets's calculate GCF of 9788,8938
| 2 | 9788, 8938 |
| 4894, 4469 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9788,8938 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 8938
:1,2,41,82,109,218,4469,8938
Greatest Common Factor
We found the factors 9788,8938 . The biggest common factor number is the GCF number.
So the greatest common factor 9788,8938 is 2.
Lets's calculate LCM of 392,2946
| 2 | 392, 2946 |
| 196, 1473 |
∴ So the LCM of the given numbers is 2 x 196 x 1473 = 577416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/577416
Therefore, the GCF of Fractions 9788/392,8938/2946 is 2/577416
Least Common Multiple of 392,2946 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 392,2946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,2946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(392,2946) x common factors =2 x 1 = 2
LCM(392,2946) = ( 392 × 2946 ) / 2
LCM(392,2946) = 1154832 / 2
LCM(392,2946) = 577416
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FAQs on GCF of Fractions of 9788/392, 8938/2946
1. What is the HCF of 9788,8938?
The HCF of 9788,8938 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 9788/392, 8938/2946?
Answer: GCF of Numerators as per given numbers 9788/392, 8938/2946 is
GCF of Numerators i.e. for 9788,8938 is 2
LCM of denominators i.e. for 392,2946 is 577416.
Thus, GCF of Fractions is 2/577416.Finally, GCF of Fractions for 9788/392, 8938/2946 is 2/577416.