Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9715/420,7261/4324
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 9715,7261
Greatest Common Factor of Numerators i.e. GCF of 9715,7261 is 1 .
LCM of Denominators means LCM of 420,4324 as per the given fractions.
LCM of 420,4324 is 454020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9715,7261
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9715
List of positive integer factors of 9715 that divides 9715 without a remainder.
1,5,29,67,145,335,1943,9715
Factors of 7261
List of positive integer factors of 7261 that divides 7261 without a remainder.
1,53,137,7261
Greatest Common Factor
We found the factors 9715,7261 . The biggest common factor number is the GCF number.
So the greatest common factor 9715,7261 is 1.
Lets's calculate LCM of 420,4324
2 | 420, 4324 |
2 | 210, 2162 |
105, 1081 |
∴ So the LCM of the given numbers is 2 x 2 x 105 x 1081 = 454020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454020
Therefore, the GCF of Fractions 9715/420,7261/4324 is 1/454020
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 420,4324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,4324) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(420,4324) x common factors =4 x 1 = 4
LCM(420,4324) = ( 420 × 4324 ) / 4
LCM(420,4324) = 1816080 / 4
LCM(420,4324) = 454020
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 9715/420, 7261/4324?
Answer: GCF of Numerators as per given numbers 9715/420, 7261/4324 is
GCF of Numerators i.e. for 9715,7261 is 1
LCM of denominators i.e. for 420,4324 is 454020.
Thus, GCF of Fractions is 1/454020.Finally, GCF of Fractions for 9715/420, 7261/4324 is 1/454020.