Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3855/937,2696/9734
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 3855,2696
Greatest Common Factor of Numerators i.e. GCF of 3855,2696 is 1 .
LCM of Denominators means LCM of 937,9734 as per the given fractions.
LCM of 937,9734 is 9120758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3855,2696
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3855
List of positive integer factors of 3855 that divides 3855 without a remainder.
1,3,5,15,257,771,1285,3855
Factors of 2696
List of positive integer factors of 2696 that divides 2696 without a remainder.
1,2,4,8,337,674,1348,2696
Greatest Common Factor
We found the factors 3855,2696 . The biggest common factor number is the GCF number.
So the greatest common factor 3855,2696 is 1.
Lets's calculate LCM of 937,9734
Given numbers has no common factors except 1. So, there LCM is their product i.e 9120758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9120758
Therefore, the GCF of Fractions 3855/937,2696/9734 is 1/9120758
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 937,9734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,9734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,9734) x common factors =1 x 1 = 1
LCM(937,9734) = ( 937 × 9734 ) / 1
LCM(937,9734) = 9120758 / 1
LCM(937,9734) = 9120758
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 3855/937, 2696/9734?
Answer: GCF of Numerators as per given numbers 3855/937, 2696/9734 is
GCF of Numerators i.e. for 3855,2696 is 1
LCM of denominators i.e. for 937,9734 is 9120758.
Thus, GCF of Fractions is 1/9120758.Finally, GCF of Fractions for 3855/937, 2696/9734 is 1/9120758.