Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9560/858,4314/1551
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 9560,4314
Greatest Common Factor of Numerators i.e. GCF of 9560,4314 is 2 .
LCM of Denominators means LCM of 858,1551 as per the given fractions.
LCM of 858,1551 is 40326 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9560,4314
2 | 9560, 4314 |
4780, 2157 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9560
List of positive integer factors of 9560 that divides 9560 without a remainder.
1,2,4,5,8,10,20,40,239,478,956,1195,1912,2390,4780,9560
Factors of 4314
List of positive integer factors of 4314 that divides 4314 without a remainder.
1,2,3,6,719,1438,2157,4314
Greatest Common Factor
We found the factors 9560,4314 . The biggest common factor number is the GCF number.
So the greatest common factor 9560,4314 is 2.
Lets's calculate LCM of 858,1551
3 | 858, 1551 |
11 | 286, 517 |
26, 47 |
∴ So the LCM of the given numbers is 3 x 11 x 26 x 47 = 40326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40326
Therefore, the GCF of Fractions 9560/858,4314/1551 is 2/40326
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 858,1551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,1551) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(858,1551) x common factors =33 x 1 = 33
LCM(858,1551) = ( 858 × 1551 ) / 33
LCM(858,1551) = 1330758 / 33
LCM(858,1551) = 40326
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 9560/858, 4314/1551?
Answer: GCF of Numerators as per given numbers 9560/858, 4314/1551 is
GCF of Numerators i.e. for 9560,4314 is 2
LCM of denominators i.e. for 858,1551 is 40326.
Thus, GCF of Fractions is 2/40326.Finally, GCF of Fractions for 9560/858, 4314/1551 is 2/40326.