GCF of 8684/310, 9486/1969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8684/310, 9486/1969 i.e 2/610390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8684/310, 9486/1969.
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 8684/310,9486/1969?
Given fractions are 8684/310,9486/1969
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 8684/310,9486/1969, numerators are 8684,9486
Denominators are 310,1969
The GCF of 8684,9486 is 2 .
LCM of 310,1969 is 610390.
The greatest common factor of 8684/310,9486/1969 = [GCF of 8684,9486]/[LCM of 310,1969]= 2/610390
Therefore, the GCF of 8684/310,9486/1969 is 2/610390.
To find the highest common factor of 8684,9486, we have to find the factors of both numbers and list the highest common factor.
The factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684
The factors of 9486 are 1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743, 9486
The HCF of 8684,9486 is 2.
Lets's calculate GCF of 8684,9486
| 2 | 8684, 9486 |
| 4342, 4743 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8684,9486 By Matching Biggest Common Factor Method
Now, list down the factors of 8684
:1,2,4,13,26,52,167,334,668,2171,4342,8684
Now, list down the factors of 9486
:1,2,3,6,9,17,18,31,34,51,62,93,102,153,186,279,306,527,558,1054,1581,3162,4743,9486
Greatest Common Factor
We found the factors 8684,9486 . The biggest common factor number is the GCF number.
So the greatest common factor 8684,9486 is 2.
Lets's calculate LCM of 310,1969
Given numbers has no common factors except 1. So, there LCM is their product i.e 610390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/610390
Therefore, the GCF of Fractions 8684/310,9486/1969 is 2/610390
Least Common Multiple of 310,1969 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 310,1969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,1969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(310,1969) x common factors =1 x 1 = 1
LCM(310,1969) = ( 310 × 1969 ) / 1
LCM(310,1969) = 610390 / 1
LCM(310,1969) = 610390
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8684/310, 9486/1969
1. What is the HCF of 8684,9486?
The HCF of 8684,9486 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 8684/310, 9486/1969?
Answer: GCF of Numerators as per given numbers 8684/310, 9486/1969 is
GCF of Numerators i.e. for 8684,9486 is 2
LCM of denominators i.e. for 310,1969 is 610390.
Thus, GCF of Fractions is 2/610390.Finally, GCF of Fractions for 8684/310, 9486/1969 is 2/610390.