GCF of 9715/312, 1940/2732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9715/312, 1940/2732 i.e 5/213096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9715/312, 1940/2732.
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 9715/312,1940/2732?
Given fractions are 9715/312,1940/2732
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 9715/312,1940/2732, numerators are 9715,1940
Denominators are 312,2732
The GCF of 9715,1940 is 5 .
LCM of 312,2732 is 213096.
The greatest common factor of 9715/312,1940/2732 = [GCF of 9715,1940]/[LCM of 312,2732]= 5/213096
Therefore, the GCF of 9715/312,1940/2732 is 5/213096.
To find the highest common factor of 9715,1940, we have to find the factors of both numbers and list the highest common factor.
The factors of 9715 are 1, 5, 29, 67, 145, 335, 1943, 9715
The factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940
The HCF of 9715,1940 is 5.
Lets's calculate GCF of 9715,1940
| 5 | 9715, 1940 |
| 1943, 388 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9715,1940 By Matching Biggest Common Factor Method
Now, list down the factors of 9715
:1,5,29,67,145,335,1943,9715
Now, list down the factors of 1940
:1,2,4,5,10,20,97,194,388,485,970,1940
Greatest Common Factor
We found the factors 9715,1940 . The biggest common factor number is the GCF number.
So the greatest common factor 9715,1940 is 5.
Lets's calculate LCM of 312,2732
| 2 | 312, 2732 |
| 2 | 156, 1366 |
| 78, 683 |
∴ So the LCM of the given numbers is 2 x 2 x 78 x 683 = 213096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/213096
Therefore, the GCF of Fractions 9715/312,1940/2732 is 5/213096
Least Common Multiple of 312,2732 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 312,2732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,2732) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(312,2732) x common factors =4 x 1 = 4
LCM(312,2732) = ( 312 × 2732 ) / 4
LCM(312,2732) = 852384 / 4
LCM(312,2732) = 213096
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FAQs on GCF of Fractions of 9715/312, 1940/2732
1. What is the HCF of 9715,1940?
The HCF of 9715,1940 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 9715/312, 1940/2732?
Answer: GCF of Numerators as per given numbers 9715/312, 1940/2732 is
GCF of Numerators i.e. for 9715,1940 is 5
LCM of denominators i.e. for 312,2732 is 213096.
Thus, GCF of Fractions is 5/213096.Finally, GCF of Fractions for 9715/312, 1940/2732 is 5/213096.