Use our free GCF of Fractions Calculator tool to compute the GCF of 9336/724, 9118/6206 i.e 2/2246572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9336/724, 9118/6206.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9336/724,9118/6206
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 9336/724,9118/6206, numerators are 9336,9118
Denominators are 724,6206
The GCF of 9336,9118 is 2 .
LCM of 724,6206 is 2246572.
The greatest common factor of 9336/724,9118/6206 = [GCF of 9336,9118]/[LCM of 724,6206]= 2/2246572
Therefore, the GCF of 9336/724,9118/6206 is 2/2246572.
To find the highest common factor of 9336,9118, we have to find the factors of both numbers and list the highest common factor.
The factors of 9336 are 1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336
The factors of 9118 are 1, 2, 47, 94, 97, 194, 4559, 9118
The HCF of 9336,9118 is 2.
Lets's calculate GCF of 9336,9118
2 | 9336, 9118 |
4668, 4559 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 9336
:1,2,3,4,6,8,12,24,389,778,1167,1556,2334,3112,4668,9336
Now, list down the factors of 9118
:1,2,47,94,97,194,4559,9118
Greatest Common Factor
We found the factors 9336,9118 . The biggest common factor number is the GCF number.
So the greatest common factor 9336,9118 is 2.
Lets's calculate LCM of 724,6206
2 | 724, 6206 |
362, 3103 |
∴ So the LCM of the given numbers is 2 x 362 x 3103 = 2246572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2246572
Therefore, the GCF of Fractions 9336/724,9118/6206 is 2/2246572
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 724,6206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,6206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,6206) x common factors =2 x 1 = 2
LCM(724,6206) = ( 724 × 6206 ) / 2
LCM(724,6206) = 4493144 / 2
LCM(724,6206) = 2246572
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9336,9118?
The HCF of 9336,9118 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 9336/724, 9118/6206?
Answer: GCF of Numerators as per given numbers 9336/724, 9118/6206 is
GCF of Numerators i.e. for 9336,9118 is 2
LCM of denominators i.e. for 724,6206 is 2246572.
Thus, GCF of Fractions is 2/2246572.Finally, GCF of Fractions for 9336/724, 9118/6206 is 2/2246572.