GCF of 9760/793, 4030/8397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9760/793, 4030/8397 i.e 10/6658821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9760/793, 4030/8397.
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 9760/793,4030/8397?
Given fractions are 9760/793,4030/8397
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 9760/793,4030/8397, numerators are 9760,4030
Denominators are 793,8397
The GCF of 9760,4030 is 10 .
LCM of 793,8397 is 6658821.
The greatest common factor of 9760/793,4030/8397 = [GCF of 9760,4030]/[LCM of 793,8397]= 10/6658821
Therefore, the GCF of 9760/793,4030/8397 is 10/6658821.
To find the highest common factor of 9760,4030, we have to find the factors of both numbers and list the highest common factor.
The factors of 9760 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760
The factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030
The HCF of 9760,4030 is 10.
Lets's calculate GCF of 9760,4030
| 2 | 9760, 4030 |
| 5 | 4880, 2015 |
| 976, 403 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9760,4030 By Matching Biggest Common Factor Method
Now, list down the factors of 9760
:1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760
Now, list down the factors of 4030
:1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030
Greatest Common Factor
We found the factors 9760,4030 . The biggest common factor number is the GCF number.
So the greatest common factor 9760,4030 is 10.
Lets's calculate LCM of 793,8397
Given numbers has no common factors except 1. So, there LCM is their product i.e 6658821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6658821
Therefore, the GCF of Fractions 9760/793,4030/8397 is 10/6658821
Least Common Multiple of 793,8397 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 793,8397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,8397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,8397) x common factors =1 x 1 = 1
LCM(793,8397) = ( 793 × 8397 ) / 1
LCM(793,8397) = 6658821 / 1
LCM(793,8397) = 6658821
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FAQs on GCF of Fractions of 9760/793, 4030/8397
1. What is the HCF of 9760,4030?
The HCF of 9760,4030 is 10
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 9760/793, 4030/8397?
Answer: GCF of Numerators as per given numbers 9760/793, 4030/8397 is
GCF of Numerators i.e. for 9760,4030 is 10
LCM of denominators i.e. for 793,8397 is 6658821.
Thus, GCF of Fractions is 10/6658821.Finally, GCF of Fractions for 9760/793, 4030/8397 is 10/6658821.