Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9114/626,2668/5888
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 9114,2668
Greatest Common Factor of Numerators i.e. GCF of 9114,2668 is 2 .
LCM of Denominators means LCM of 626,5888 as per the given fractions.
LCM of 626,5888 is 1842944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9114,2668
2 | 9114, 2668 |
4557, 1334 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9114
List of positive integer factors of 9114 that divides 9114 without a remainder.
1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114
Factors of 2668
List of positive integer factors of 2668 that divides 2668 without a remainder.
1,2,4,23,29,46,58,92,116,667,1334,2668
Greatest Common Factor
We found the factors 9114,2668 . The biggest common factor number is the GCF number.
So the greatest common factor 9114,2668 is 2.
Lets's calculate LCM of 626,5888
2 | 626, 5888 |
313, 2944 |
∴ So the LCM of the given numbers is 2 x 313 x 2944 = 1842944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1842944
Therefore, the GCF of Fractions 9114/626,2668/5888 is 2/1842944
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 626,5888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,5888) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,5888) x common factors =2 x 1 = 2
LCM(626,5888) = ( 626 × 5888 ) / 2
LCM(626,5888) = 3685888 / 2
LCM(626,5888) = 1842944
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 9114/626, 2668/5888?
Answer: GCF of Numerators as per given numbers 9114/626, 2668/5888 is
GCF of Numerators i.e. for 9114,2668 is 2
LCM of denominators i.e. for 626,5888 is 1842944.
Thus, GCF of Fractions is 2/1842944.Finally, GCF of Fractions for 9114/626, 2668/5888 is 2/1842944.