Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3590/15,8030/638
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 3590,8030
Greatest Common Factor of Numerators i.e. GCF of 3590,8030 is 10 .
LCM of Denominators means LCM of 15,638 as per the given fractions.
LCM of 15,638 is 9570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3590,8030
2 | 3590, 8030 |
5 | 1795, 4015 |
359, 803 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 3590
List of positive integer factors of 3590 that divides 3590 without a remainder.
1,2,5,10,359,718,1795,3590
Factors of 8030
List of positive integer factors of 8030 that divides 8030 without a remainder.
1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030
Greatest Common Factor
We found the factors 3590,8030 . The biggest common factor number is the GCF number.
So the greatest common factor 3590,8030 is 10.
Lets's calculate LCM of 15,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 9570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/9570
Therefore, the GCF of Fractions 3590/15,8030/638 is 10/9570
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 15,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,638) x common factors =1 x 1 = 1
LCM(15,638) = ( 15 × 638 ) / 1
LCM(15,638) = 9570 / 1
LCM(15,638) = 9570
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 3590/15, 8030/638?
Answer: GCF of Numerators as per given numbers 3590/15, 8030/638 is
GCF of Numerators i.e. for 3590,8030 is 10
LCM of denominators i.e. for 15,638 is 9570.
Thus, GCF of Fractions is 10/9570.Finally, GCF of Fractions for 3590/15, 8030/638 is 10/9570.