Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7222/120,3957/283
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 7222,3957
Greatest Common Factor of Numerators i.e. GCF of 7222,3957 is 1 .
LCM of Denominators means LCM of 120,283 as per the given fractions.
LCM of 120,283 is 33960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7222,3957
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7222
List of positive integer factors of 7222 that divides 7222 without a remainder.
1,2,23,46,157,314,3611,7222
Factors of 3957
List of positive integer factors of 3957 that divides 3957 without a remainder.
1,3,1319,3957
Greatest Common Factor
We found the factors 7222,3957 . The biggest common factor number is the GCF number.
So the greatest common factor 7222,3957 is 1.
Lets's calculate LCM of 120,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 33960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33960
Therefore, the GCF of Fractions 7222/120,3957/283 is 1/33960
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 120,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(120,283) x common factors =1 x 1 = 1
LCM(120,283) = ( 120 × 283 ) / 1
LCM(120,283) = 33960 / 1
LCM(120,283) = 33960
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 7222/120, 3957/283?
Answer: GCF of Numerators as per given numbers 7222/120, 3957/283 is
GCF of Numerators i.e. for 7222,3957 is 1
LCM of denominators i.e. for 120,283 is 33960.
Thus, GCF of Fractions is 1/33960.Finally, GCF of Fractions for 7222/120, 3957/283 is 1/33960.