GCF of 9090/942, 8686/6217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9090/942, 8686/6217 i.e 202/5856414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9090/942, 8686/6217.
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 9090/942,8686/6217?
Given fractions are 9090/942,8686/6217
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 9090/942,8686/6217, numerators are 9090,8686
Denominators are 942,6217
The GCF of 9090,8686 is 202 .
LCM of 942,6217 is 5856414.
The greatest common factor of 9090/942,8686/6217 = [GCF of 9090,8686]/[LCM of 942,6217]= 202/5856414
Therefore, the GCF of 9090/942,8686/6217 is 202/5856414.
To find the highest common factor of 9090,8686, we have to find the factors of both numbers and list the highest common factor.
The factors of 9090 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545, 9090
The factors of 8686 are 1, 2, 43, 86, 101, 202, 4343, 8686
The HCF of 9090,8686 is 202.
Lets's calculate GCF of 9090,8686
| 2 | 9090, 8686 |
| 101 | 4545, 4343 |
| 45, 43 |
∴ So the GCF of the given numbers is 2 x 101 = 202
Greatest Common Factor of 9090,8686 By Matching Biggest Common Factor Method
Now, list down the factors of 9090
:1,2,3,5,6,9,10,15,18,30,45,90,101,202,303,505,606,909,1010,1515,1818,3030,4545,9090
Now, list down the factors of 8686
:1,2,43,86,101,202,4343,8686
Greatest Common Factor
We found the factors 9090,8686 . The biggest common factor number is the GCF number.
So the greatest common factor 9090,8686 is 202.
Lets's calculate LCM of 942,6217
Given numbers has no common factors except 1. So, there LCM is their product i.e 5856414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 202/5856414
Therefore, the GCF of Fractions 9090/942,8686/6217 is 202/5856414
Least Common Multiple of 942,6217 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 942,6217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,6217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(942,6217) x common factors =1 x 1 = 1
LCM(942,6217) = ( 942 × 6217 ) / 1
LCM(942,6217) = 5856414 / 1
LCM(942,6217) = 5856414
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FAQs on GCF of Fractions of 9090/942, 8686/6217
1. What is the HCF of 9090,8686?
The HCF of 9090,8686 is 202
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 9090/942, 8686/6217?
Answer: GCF of Numerators as per given numbers 9090/942, 8686/6217 is
GCF of Numerators i.e. for 9090,8686 is 202
LCM of denominators i.e. for 942,6217 is 5856414.
Thus, GCF of Fractions is 202/5856414.Finally, GCF of Fractions for 9090/942, 8686/6217 is 202/5856414.