Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 851/24,309/3657
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 851,309
Greatest Common Factor of Numerators i.e. GCF of 851,309 is 1 .
LCM of Denominators means LCM of 24,3657 as per the given fractions.
LCM of 24,3657 is 29256 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 851,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 851,309 . The biggest common factor number is the GCF number.
So the greatest common factor 851,309 is 1.
Lets's calculate LCM of 24,3657
3 | 24, 3657 |
8, 1219 |
∴ So the LCM of the given numbers is 3 x 8 x 1219 = 29256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29256
Therefore, the GCF of Fractions 851/24,309/3657 is 1/29256
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 24,3657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,3657) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(24,3657) x common factors =3 x 1 = 3
LCM(24,3657) = ( 24 × 3657 ) / 3
LCM(24,3657) = 87768 / 3
LCM(24,3657) = 29256
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 851/24, 309/3657?
Answer: GCF of Numerators as per given numbers 851/24, 309/3657 is
GCF of Numerators i.e. for 851,309 is 1
LCM of denominators i.e. for 24,3657 is 29256.
Thus, GCF of Fractions is 1/29256.Finally, GCF of Fractions for 851/24, 309/3657 is 1/29256.