Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9594/530,4908/835
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 9594,4908
Greatest Common Factor of Numerators i.e. GCF of 9594,4908 is 6 .
LCM of Denominators means LCM of 530,835 as per the given fractions.
LCM of 530,835 is 88510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9594,4908
2 | 9594, 4908 |
3 | 4797, 2454 |
1599, 818 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 9594
List of positive integer factors of 9594 that divides 9594 without a remainder.
1,2,3,6,9,13,18,26,39,41,78,82,117,123,234,246,369,533,738,1066,1599,3198,4797,9594
Factors of 4908
List of positive integer factors of 4908 that divides 4908 without a remainder.
1,2,3,4,6,12,409,818,1227,1636,2454,4908
Greatest Common Factor
We found the factors 9594,4908 . The biggest common factor number is the GCF number.
So the greatest common factor 9594,4908 is 6.
Lets's calculate LCM of 530,835
5 | 530, 835 |
106, 167 |
∴ So the LCM of the given numbers is 5 x 106 x 167 = 88510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/88510
Therefore, the GCF of Fractions 9594/530,4908/835 is 6/88510
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 530,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,835) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(530,835) x common factors =5 x 1 = 5
LCM(530,835) = ( 530 × 835 ) / 5
LCM(530,835) = 442550 / 5
LCM(530,835) = 88510
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 9594/530, 4908/835?
Answer: GCF of Numerators as per given numbers 9594/530, 4908/835 is
GCF of Numerators i.e. for 9594,4908 is 6
LCM of denominators i.e. for 530,835 is 88510.
Thus, GCF of Fractions is 6/88510.Finally, GCF of Fractions for 9594/530, 4908/835 is 6/88510.