Use our free GCF of Fractions Calculator tool to compute the GCF of 9112/683, 9614/246 i.e 2/168018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9112/683, 9614/246.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9112/683,9614/246
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 9112/683,9614/246, numerators are 9112,9614
Denominators are 683,246
The GCF of 9112,9614 is 2 .
LCM of 683,246 is 168018.
The greatest common factor of 9112/683,9614/246 = [GCF of 9112,9614]/[LCM of 683,246]= 2/168018
Therefore, the GCF of 9112/683,9614/246 is 2/168018.
To find the highest common factor of 9112,9614, we have to find the factors of both numbers and list the highest common factor.
The factors of 9112 are 1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112
The factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614
The HCF of 9112,9614 is 2.
Lets's calculate GCF of 9112,9614
2 | 9112, 9614 |
4556, 4807 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 9112
:1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112
Now, list down the factors of 9614
:1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614
Greatest Common Factor
We found the factors 9112,9614 . The biggest common factor number is the GCF number.
So the greatest common factor 9112,9614 is 2.
Lets's calculate LCM of 683,246
Given numbers has no common factors except 1. So, there LCM is their product i.e 168018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/168018
Therefore, the GCF of Fractions 9112/683,9614/246 is 2/168018
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 683,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,246) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,246) x common factors =1 x 1 = 1
LCM(683,246) = ( 683 × 246 ) / 1
LCM(683,246) = 168018 / 1
LCM(683,246) = 168018
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9112,9614?
The HCF of 9112,9614 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 9112/683, 9614/246?
Answer: GCF of Numerators as per given numbers 9112/683, 9614/246 is
GCF of Numerators i.e. for 9112,9614 is 2
LCM of denominators i.e. for 683,246 is 168018.
Thus, GCF of Fractions is 2/168018.Finally, GCF of Fractions for 9112/683, 9614/246 is 2/168018.