Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7352/67,9015/610
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 7352,9015
Greatest Common Factor of Numerators i.e. GCF of 7352,9015 is 1 .
LCM of Denominators means LCM of 67,610 as per the given fractions.
LCM of 67,610 is 40870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7352,9015
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7352
List of positive integer factors of 7352 that divides 7352 without a remainder.
1,2,4,8,919,1838,3676,7352
Factors of 9015
List of positive integer factors of 9015 that divides 9015 without a remainder.
1,3,5,15,601,1803,3005,9015
Greatest Common Factor
We found the factors 7352,9015 . The biggest common factor number is the GCF number.
So the greatest common factor 7352,9015 is 1.
Lets's calculate LCM of 67,610
Given numbers has no common factors except 1. So, there LCM is their product i.e 40870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40870
Therefore, the GCF of Fractions 7352/67,9015/610 is 1/40870
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 67,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,610) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,610) x common factors =1 x 1 = 1
LCM(67,610) = ( 67 × 610 ) / 1
LCM(67,610) = 40870 / 1
LCM(67,610) = 40870
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 7352/67, 9015/610?
Answer: GCF of Numerators as per given numbers 7352/67, 9015/610 is
GCF of Numerators i.e. for 7352,9015 is 1
LCM of denominators i.e. for 67,610 is 40870.
Thus, GCF of Fractions is 1/40870.Finally, GCF of Fractions for 7352/67, 9015/610 is 1/40870.