Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 357/401,7974/7714
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 357,7974
Greatest Common Factor of Numerators i.e. GCF of 357,7974 is 3 .
LCM of Denominators means LCM of 401,7714 as per the given fractions.
LCM of 401,7714 is 3093314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 357,7974
3 | 357, 7974 |
119, 2658 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Factors of 7974
List of positive integer factors of 7974 that divides 7974 without a remainder.
1,2,3,6,9,18,443,886,1329,2658,3987,7974
Greatest Common Factor
We found the factors 357,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 357,7974 is 3.
Lets's calculate LCM of 401,7714
Given numbers has no common factors except 1. So, there LCM is their product i.e 3093314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3093314
Therefore, the GCF of Fractions 357/401,7974/7714 is 3/3093314
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 401,7714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,7714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,7714) x common factors =1 x 1 = 1
LCM(401,7714) = ( 401 × 7714 ) / 1
LCM(401,7714) = 3093314 / 1
LCM(401,7714) = 3093314
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 357/401, 7974/7714?
Answer: GCF of Numerators as per given numbers 357/401, 7974/7714 is
GCF of Numerators i.e. for 357,7974 is 3
LCM of denominators i.e. for 401,7714 is 3093314.
Thus, GCF of Fractions is 3/3093314.Finally, GCF of Fractions for 357/401, 7974/7714 is 3/3093314.