Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9834/74,9340/143
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 9834,9340
Greatest Common Factor of Numerators i.e. GCF of 9834,9340 is 2 .
LCM of Denominators means LCM of 74,143 as per the given fractions.
LCM of 74,143 is 10582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9834,9340
2 | 9834, 9340 |
4917, 4670 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9834
List of positive integer factors of 9834 that divides 9834 without a remainder.
1,2,3,6,11,22,33,66,149,298,447,894,1639,3278,4917,9834
Factors of 9340
List of positive integer factors of 9340 that divides 9340 without a remainder.
1,2,4,5,10,20,467,934,1868,2335,4670,9340
Greatest Common Factor
We found the factors 9834,9340 . The biggest common factor number is the GCF number.
So the greatest common factor 9834,9340 is 2.
Lets's calculate LCM of 74,143
Given numbers has no common factors except 1. So, there LCM is their product i.e 10582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10582
Therefore, the GCF of Fractions 9834/74,9340/143 is 2/10582
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 74,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,143) x common factors =1 x 1 = 1
LCM(74,143) = ( 74 × 143 ) / 1
LCM(74,143) = 10582 / 1
LCM(74,143) = 10582
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 9834/74, 9340/143?
Answer: GCF of Numerators as per given numbers 9834/74, 9340/143 is
GCF of Numerators i.e. for 9834,9340 is 2
LCM of denominators i.e. for 74,143 is 10582.
Thus, GCF of Fractions is 2/10582.Finally, GCF of Fractions for 9834/74, 9340/143 is 2/10582.