GCF of 3238/120, 9717/616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3238/120, 9717/616 i.e 1/9240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3238/120, 9717/616.
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 3238/120,9717/616?
Given fractions are 3238/120,9717/616
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 3238/120,9717/616, numerators are 3238,9717
Denominators are 120,616
The GCF of 3238,9717 is 1 .
LCM of 120,616 is 9240.
The greatest common factor of 3238/120,9717/616 = [GCF of 3238,9717]/[LCM of 120,616]= 1/9240
Therefore, the GCF of 3238/120,9717/616 is 1/9240.
To find the highest common factor of 3238,9717, we have to find the factors of both numbers and list the highest common factor.
The factors of 3238 are 1, 2, 1619, 3238
The factors of 9717 are 1, 3, 41, 79, 123, 237, 3239, 9717
The HCF of 3238,9717 is 1.
Lets's calculate GCF of 3238,9717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3238,9717 By Matching Biggest Common Factor Method
Now, list down the factors of 3238
:1,2,1619,3238
Now, list down the factors of 9717
:1,3,41,79,123,237,3239,9717
Greatest Common Factor
We found the factors 3238,9717 . The biggest common factor number is the GCF number.
So the greatest common factor 3238,9717 is 1.
Lets's calculate LCM of 120,616
| 2 | 120, 616 |
| 2 | 60, 308 |
| 2 | 30, 154 |
| 15, 77 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 15 x 77 = 9240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9240
Therefore, the GCF of Fractions 3238/120,9717/616 is 1/9240
Least Common Multiple of 120,616 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 120,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,616) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(120,616) x common factors =8 x 1 = 8
LCM(120,616) = ( 120 × 616 ) / 8
LCM(120,616) = 73920 / 8
LCM(120,616) = 9240
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FAQs on GCF of Fractions of 3238/120, 9717/616
1. What is the HCF of 3238,9717?
The HCF of 3238,9717 is 1
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 3238/120, 9717/616?
Answer: GCF of Numerators as per given numbers 3238/120, 9717/616 is
GCF of Numerators i.e. for 3238,9717 is 1
LCM of denominators i.e. for 120,616 is 9240.
Thus, GCF of Fractions is 1/9240.Finally, GCF of Fractions for 3238/120, 9717/616 is 1/9240.