Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9121/250,8694/9506
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 9121,8694
Greatest Common Factor of Numerators i.e. GCF of 9121,8694 is 7 .
LCM of Denominators means LCM of 250,9506 as per the given fractions.
LCM of 250,9506 is 1188250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9121,8694
7 | 9121, 8694 |
1303, 1242 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 9121
List of positive integer factors of 9121 that divides 9121 without a remainder.
1,7,1303,9121
Factors of 8694
List of positive integer factors of 8694 that divides 8694 without a remainder.
1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694
Greatest Common Factor
We found the factors 9121,8694 . The biggest common factor number is the GCF number.
So the greatest common factor 9121,8694 is 7.
Lets's calculate LCM of 250,9506
2 | 250, 9506 |
125, 4753 |
∴ So the LCM of the given numbers is 2 x 125 x 4753 = 1188250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1188250
Therefore, the GCF of Fractions 9121/250,8694/9506 is 7/1188250
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 250,9506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,9506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(250,9506) x common factors =2 x 1 = 2
LCM(250,9506) = ( 250 × 9506 ) / 2
LCM(250,9506) = 2376500 / 2
LCM(250,9506) = 1188250
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 9121/250, 8694/9506?
Answer: GCF of Numerators as per given numbers 9121/250, 8694/9506 is
GCF of Numerators i.e. for 9121,8694 is 7
LCM of denominators i.e. for 250,9506 is 1188250.
Thus, GCF of Fractions is 7/1188250.Finally, GCF of Fractions for 9121/250, 8694/9506 is 7/1188250.