Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3925/936,6390/9487
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 3925,6390
Greatest Common Factor of Numerators i.e. GCF of 3925,6390 is 5 .
LCM of Denominators means LCM of 936,9487 as per the given fractions.
LCM of 936,9487 is 8879832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3925,6390
5 | 3925, 6390 |
785, 1278 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 3925
List of positive integer factors of 3925 that divides 3925 without a remainder.
1,5,25,157,785,3925
Factors of 6390
List of positive integer factors of 6390 that divides 6390 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390
Greatest Common Factor
We found the factors 3925,6390 . The biggest common factor number is the GCF number.
So the greatest common factor 3925,6390 is 5.
Lets's calculate LCM of 936,9487
Given numbers has no common factors except 1. So, there LCM is their product i.e 8879832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8879832
Therefore, the GCF of Fractions 3925/936,6390/9487 is 5/8879832
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 936,9487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,9487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(936,9487) x common factors =1 x 1 = 1
LCM(936,9487) = ( 936 × 9487 ) / 1
LCM(936,9487) = 8879832 / 1
LCM(936,9487) = 8879832
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 3925/936, 6390/9487?
Answer: GCF of Numerators as per given numbers 3925/936, 6390/9487 is
GCF of Numerators i.e. for 3925,6390 is 5
LCM of denominators i.e. for 936,9487 is 8879832.
Thus, GCF of Fractions is 5/8879832.Finally, GCF of Fractions for 3925/936, 6390/9487 is 5/8879832.