GCF of 9320/428, 1965/5717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9320/428, 1965/5717 i.e 5/2446876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9320/428, 1965/5717.
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 9320/428,1965/5717?
Given fractions are 9320/428,1965/5717
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 9320/428,1965/5717, numerators are 9320,1965
Denominators are 428,5717
The GCF of 9320,1965 is 5 .
LCM of 428,5717 is 2446876.
The greatest common factor of 9320/428,1965/5717 = [GCF of 9320,1965]/[LCM of 428,5717]= 5/2446876
Therefore, the GCF of 9320/428,1965/5717 is 5/2446876.
To find the highest common factor of 9320,1965, we have to find the factors of both numbers and list the highest common factor.
The factors of 9320 are 1, 2, 4, 5, 8, 10, 20, 40, 233, 466, 932, 1165, 1864, 2330, 4660, 9320
The factors of 1965 are 1, 3, 5, 15, 131, 393, 655, 1965
The HCF of 9320,1965 is 5.
Lets's calculate GCF of 9320,1965
| 5 | 9320, 1965 |
| 1864, 393 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9320,1965 By Matching Biggest Common Factor Method
Now, list down the factors of 9320
:1,2,4,5,8,10,20,40,233,466,932,1165,1864,2330,4660,9320
Now, list down the factors of 1965
:1,3,5,15,131,393,655,1965
Greatest Common Factor
We found the factors 9320,1965 . The biggest common factor number is the GCF number.
So the greatest common factor 9320,1965 is 5.
Lets's calculate LCM of 428,5717
Given numbers has no common factors except 1. So, there LCM is their product i.e 2446876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2446876
Therefore, the GCF of Fractions 9320/428,1965/5717 is 5/2446876
Least Common Multiple of 428,5717 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 428,5717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,5717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(428,5717) x common factors =1 x 1 = 1
LCM(428,5717) = ( 428 × 5717 ) / 1
LCM(428,5717) = 2446876 / 1
LCM(428,5717) = 2446876
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FAQs on GCF of Fractions of 9320/428, 1965/5717
1. What is the HCF of 9320,1965?
The HCF of 9320,1965 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 9320/428, 1965/5717?
Answer: GCF of Numerators as per given numbers 9320/428, 1965/5717 is
GCF of Numerators i.e. for 9320,1965 is 5
LCM of denominators i.e. for 428,5717 is 2446876.
Thus, GCF of Fractions is 5/2446876.Finally, GCF of Fractions for 9320/428, 1965/5717 is 5/2446876.