Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6842/98,9720/892
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 6842,9720
Greatest Common Factor of Numerators i.e. GCF of 6842,9720 is 2 .
LCM of Denominators means LCM of 98,892 as per the given fractions.
LCM of 98,892 is 43708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6842,9720
2 | 6842, 9720 |
3421, 4860 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6842
List of positive integer factors of 6842 that divides 6842 without a remainder.
1,2,11,22,311,622,3421,6842
Factors of 9720
List of positive integer factors of 9720 that divides 9720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720
Greatest Common Factor
We found the factors 6842,9720 . The biggest common factor number is the GCF number.
So the greatest common factor 6842,9720 is 2.
Lets's calculate LCM of 98,892
2 | 98, 892 |
49, 446 |
∴ So the LCM of the given numbers is 2 x 49 x 446 = 43708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43708
Therefore, the GCF of Fractions 6842/98,9720/892 is 2/43708
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 98,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(98,892) x common factors =2 x 1 = 2
LCM(98,892) = ( 98 × 892 ) / 2
LCM(98,892) = 87416 / 2
LCM(98,892) = 43708
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 6842/98, 9720/892?
Answer: GCF of Numerators as per given numbers 6842/98, 9720/892 is
GCF of Numerators i.e. for 6842,9720 is 2
LCM of denominators i.e. for 98,892 is 43708.
Thus, GCF of Fractions is 2/43708.Finally, GCF of Fractions for 6842/98, 9720/892 is 2/43708.