Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9734/43,8930/936
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 9734,8930
Greatest Common Factor of Numerators i.e. GCF of 9734,8930 is 2 .
LCM of Denominators means LCM of 43,936 as per the given fractions.
LCM of 43,936 is 40248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9734,8930
2 | 9734, 8930 |
4867, 4465 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9734
List of positive integer factors of 9734 that divides 9734 without a remainder.
1,2,31,62,157,314,4867,9734
Factors of 8930
List of positive integer factors of 8930 that divides 8930 without a remainder.
1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930
Greatest Common Factor
We found the factors 9734,8930 . The biggest common factor number is the GCF number.
So the greatest common factor 9734,8930 is 2.
Lets's calculate LCM of 43,936
Given numbers has no common factors except 1. So, there LCM is their product i.e 40248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40248
Therefore, the GCF of Fractions 9734/43,8930/936 is 2/40248
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 43,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,936) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,936) x common factors =1 x 1 = 1
LCM(43,936) = ( 43 × 936 ) / 1
LCM(43,936) = 40248 / 1
LCM(43,936) = 40248
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 9734/43, 8930/936?
Answer: GCF of Numerators as per given numbers 9734/43, 8930/936 is
GCF of Numerators i.e. for 9734,8930 is 2
LCM of denominators i.e. for 43,936 is 40248.
Thus, GCF of Fractions is 2/40248.Finally, GCF of Fractions for 9734/43, 8930/936 is 2/40248.