GCF of 1017/122, 9718/1115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1017/122, 9718/1115 i.e 113/136030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1017/122, 9718/1115.
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 1017/122,9718/1115?
Given fractions are 1017/122,9718/1115
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 1017/122,9718/1115, numerators are 1017,9718
Denominators are 122,1115
The GCF of 1017,9718 is 113 .
LCM of 122,1115 is 136030.
The greatest common factor of 1017/122,9718/1115 = [GCF of 1017,9718]/[LCM of 122,1115]= 113/136030
Therefore, the GCF of 1017/122,9718/1115 is 113/136030.
To find the highest common factor of 1017,9718, we have to find the factors of both numbers and list the highest common factor.
The factors of 1017 are 1, 3, 9, 113, 339, 1017
The factors of 9718 are 1, 2, 43, 86, 113, 226, 4859, 9718
The HCF of 1017,9718 is 113.
Lets's calculate GCF of 1017,9718
| 113 | 1017, 9718 |
| 9, 86 |
∴ So the GCF of the given numbers is 113 = 113
Greatest Common Factor of 1017,9718 By Matching Biggest Common Factor Method
Now, list down the factors of 1017
:1,3,9,113,339,1017
Now, list down the factors of 9718
:1,2,43,86,113,226,4859,9718
Greatest Common Factor
We found the factors 1017,9718 . The biggest common factor number is the GCF number.
So the greatest common factor 1017,9718 is 113.
Lets's calculate LCM of 122,1115
Given numbers has no common factors except 1. So, there LCM is their product i.e 136030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/136030
Therefore, the GCF of Fractions 1017/122,9718/1115 is 113/136030
Least Common Multiple of 122,1115 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 122,1115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,1115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,1115) x common factors =1 x 1 = 1
LCM(122,1115) = ( 122 × 1115 ) / 1
LCM(122,1115) = 136030 / 1
LCM(122,1115) = 136030
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FAQs on GCF of Fractions of 1017/122, 9718/1115
1. What is the HCF of 1017,9718?
The HCF of 1017,9718 is 113
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 1017/122, 9718/1115?
Answer: GCF of Numerators as per given numbers 1017/122, 9718/1115 is
GCF of Numerators i.e. for 1017,9718 is 113
LCM of denominators i.e. for 122,1115 is 136030.
Thus, GCF of Fractions is 113/136030.Finally, GCF of Fractions for 1017/122, 9718/1115 is 113/136030.