Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 952/740,1489/957
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 952,1489
Greatest Common Factor of Numerators i.e. GCF of 952,1489 is 1 .
LCM of Denominators means LCM of 740,957 as per the given fractions.
LCM of 740,957 is 708180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 952,1489
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 1489
List of positive integer factors of 1489 that divides 1489 without a remainder.
1,1489
Greatest Common Factor
We found the factors 952,1489 . The biggest common factor number is the GCF number.
So the greatest common factor 952,1489 is 1.
Lets's calculate LCM of 740,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 708180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/708180
Therefore, the GCF of Fractions 952/740,1489/957 is 1/708180
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 740,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,957) x common factors =1 x 1 = 1
LCM(740,957) = ( 740 × 957 ) / 1
LCM(740,957) = 708180 / 1
LCM(740,957) = 708180
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 952/740, 1489/957?
Answer: GCF of Numerators as per given numbers 952/740, 1489/957 is
GCF of Numerators i.e. for 952,1489 is 1
LCM of denominators i.e. for 740,957 is 708180.
Thus, GCF of Fractions is 1/708180.Finally, GCF of Fractions for 952/740, 1489/957 is 1/708180.