Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3371/915,7956/632
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 3371,7956
Greatest Common Factor of Numerators i.e. GCF of 3371,7956 is 1 .
LCM of Denominators means LCM of 915,632 as per the given fractions.
LCM of 915,632 is 578280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3371,7956
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3371
List of positive integer factors of 3371 that divides 3371 without a remainder.
1,3371
Factors of 7956
List of positive integer factors of 7956 that divides 7956 without a remainder.
1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956
Greatest Common Factor
We found the factors 3371,7956 . The biggest common factor number is the GCF number.
So the greatest common factor 3371,7956 is 1.
Lets's calculate LCM of 915,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 578280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/578280
Therefore, the GCF of Fractions 3371/915,7956/632 is 1/578280
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 915,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(915,632) x common factors =1 x 1 = 1
LCM(915,632) = ( 915 × 632 ) / 1
LCM(915,632) = 578280 / 1
LCM(915,632) = 578280
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 3371/915, 7956/632?
Answer: GCF of Numerators as per given numbers 3371/915, 7956/632 is
GCF of Numerators i.e. for 3371,7956 is 1
LCM of denominators i.e. for 915,632 is 578280.
Thus, GCF of Fractions is 1/578280.Finally, GCF of Fractions for 3371/915, 7956/632 is 1/578280.