Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7684/856,7427/9716
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 7684,7427
Greatest Common Factor of Numerators i.e. GCF of 7684,7427 is 1 .
LCM of Denominators means LCM of 856,9716 as per the given fractions.
LCM of 856,9716 is 2079224 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7684,7427
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7684
List of positive integer factors of 7684 that divides 7684 without a remainder.
1,2,4,17,34,68,113,226,452,1921,3842,7684
Factors of 7427
List of positive integer factors of 7427 that divides 7427 without a remainder.
1,7,1061,7427
Greatest Common Factor
We found the factors 7684,7427 . The biggest common factor number is the GCF number.
So the greatest common factor 7684,7427 is 1.
Lets's calculate LCM of 856,9716
2 | 856, 9716 |
2 | 428, 4858 |
214, 2429 |
∴ So the LCM of the given numbers is 2 x 2 x 214 x 2429 = 2079224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2079224
Therefore, the GCF of Fractions 7684/856,7427/9716 is 1/2079224
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 856,9716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,9716) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(856,9716) x common factors =4 x 1 = 4
LCM(856,9716) = ( 856 × 9716 ) / 4
LCM(856,9716) = 8316896 / 4
LCM(856,9716) = 2079224
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 7684/856, 7427/9716?
Answer: GCF of Numerators as per given numbers 7684/856, 7427/9716 is
GCF of Numerators i.e. for 7684,7427 is 1
LCM of denominators i.e. for 856,9716 is 2079224.
Thus, GCF of Fractions is 1/2079224.Finally, GCF of Fractions for 7684/856, 7427/9716 is 1/2079224.