GCF of 9238/122, 3650/6097
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9238/122, 3650/6097 i.e 2/743834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9238/122, 3650/6097.
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 9238/122,3650/6097?
Given fractions are 9238/122,3650/6097
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 9238/122,3650/6097, numerators are 9238,3650
Denominators are 122,6097
The GCF of 9238,3650 is 2 .
LCM of 122,6097 is 743834.
The greatest common factor of 9238/122,3650/6097 = [GCF of 9238,3650]/[LCM of 122,6097]= 2/743834
Therefore, the GCF of 9238/122,3650/6097 is 2/743834.
To find the highest common factor of 9238,3650, we have to find the factors of both numbers and list the highest common factor.
The factors of 9238 are 1, 2, 31, 62, 149, 298, 4619, 9238
The factors of 3650 are 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650
The HCF of 9238,3650 is 2.
Lets's calculate GCF of 9238,3650
| 2 | 9238, 3650 |
| 4619, 1825 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9238,3650 By Matching Biggest Common Factor Method
Now, list down the factors of 9238
:1,2,31,62,149,298,4619,9238
Now, list down the factors of 3650
:1,2,5,10,25,50,73,146,365,730,1825,3650
Greatest Common Factor
We found the factors 9238,3650 . The biggest common factor number is the GCF number.
So the greatest common factor 9238,3650 is 2.
Lets's calculate LCM of 122,6097
Given numbers has no common factors except 1. So, there LCM is their product i.e 743834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/743834
Therefore, the GCF of Fractions 9238/122,3650/6097 is 2/743834
Least Common Multiple of 122,6097 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 122,6097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,6097) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,6097) x common factors =1 x 1 = 1
LCM(122,6097) = ( 122 × 6097 ) / 1
LCM(122,6097) = 743834 / 1
LCM(122,6097) = 743834
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FAQs on GCF of Fractions of 9238/122, 3650/6097
1. What is the HCF of 9238,3650?
The HCF of 9238,3650 is 2
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 9238/122, 3650/6097?
Answer: GCF of Numerators as per given numbers 9238/122, 3650/6097 is
GCF of Numerators i.e. for 9238,3650 is 2
LCM of denominators i.e. for 122,6097 is 743834.
Thus, GCF of Fractions is 2/743834.Finally, GCF of Fractions for 9238/122, 3650/6097 is 2/743834.