Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8948/743,9685/836
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 8948,9685
Greatest Common Factor of Numerators i.e. GCF of 8948,9685 is 1 .
LCM of Denominators means LCM of 743,836 as per the given fractions.
LCM of 743,836 is 621148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8948,9685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8948
List of positive integer factors of 8948 that divides 8948 without a remainder.
1,2,4,2237,4474,8948
Factors of 9685
List of positive integer factors of 9685 that divides 9685 without a remainder.
1,5,13,65,149,745,1937,9685
Greatest Common Factor
We found the factors 8948,9685 . The biggest common factor number is the GCF number.
So the greatest common factor 8948,9685 is 1.
Lets's calculate LCM of 743,836
Given numbers has no common factors except 1. So, there LCM is their product i.e 621148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621148
Therefore, the GCF of Fractions 8948/743,9685/836 is 1/621148
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 743,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,836) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,836) x common factors =1 x 1 = 1
LCM(743,836) = ( 743 × 836 ) / 1
LCM(743,836) = 621148 / 1
LCM(743,836) = 621148
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 8948/743, 9685/836?
Answer: GCF of Numerators as per given numbers 8948/743, 9685/836 is
GCF of Numerators i.e. for 8948,9685 is 1
LCM of denominators i.e. for 743,836 is 621148.
Thus, GCF of Fractions is 1/621148.Finally, GCF of Fractions for 8948/743, 9685/836 is 1/621148.