Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9628/772,4612/7834
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 9628,4612
Greatest Common Factor of Numerators i.e. GCF of 9628,4612 is 4 .
LCM of Denominators means LCM of 772,7834 as per the given fractions.
LCM of 772,7834 is 3023924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9628,4612
2 | 9628, 4612 |
2 | 4814, 2306 |
2407, 1153 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9628
List of positive integer factors of 9628 that divides 9628 without a remainder.
1,2,4,29,58,83,116,166,332,2407,4814,9628
Factors of 4612
List of positive integer factors of 4612 that divides 4612 without a remainder.
1,2,4,1153,2306,4612
Greatest Common Factor
We found the factors 9628,4612 . The biggest common factor number is the GCF number.
So the greatest common factor 9628,4612 is 4.
Lets's calculate LCM of 772,7834
2 | 772, 7834 |
386, 3917 |
∴ So the LCM of the given numbers is 2 x 386 x 3917 = 3023924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3023924
Therefore, the GCF of Fractions 9628/772,4612/7834 is 4/3023924
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 772,7834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,7834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,7834) x common factors =2 x 1 = 2
LCM(772,7834) = ( 772 × 7834 ) / 2
LCM(772,7834) = 6047848 / 2
LCM(772,7834) = 3023924
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 9628/772, 4612/7834?
Answer: GCF of Numerators as per given numbers 9628/772, 4612/7834 is
GCF of Numerators i.e. for 9628,4612 is 4
LCM of denominators i.e. for 772,7834 is 3023924.
Thus, GCF of Fractions is 4/3023924.Finally, GCF of Fractions for 9628/772, 4612/7834 is 4/3023924.