Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6220/74,4640/609
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 6220,4640
Greatest Common Factor of Numerators i.e. GCF of 6220,4640 is 20 .
LCM of Denominators means LCM of 74,609 as per the given fractions.
LCM of 74,609 is 45066 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6220,4640
2 | 6220, 4640 |
2 | 3110, 2320 |
5 | 1555, 1160 |
311, 232 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 6220
List of positive integer factors of 6220 that divides 6220 without a remainder.
1,2,4,5,10,20,311,622,1244,1555,3110,6220
Factors of 4640
List of positive integer factors of 4640 that divides 4640 without a remainder.
1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640
Greatest Common Factor
We found the factors 6220,4640 . The biggest common factor number is the GCF number.
So the greatest common factor 6220,4640 is 20.
Lets's calculate LCM of 74,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 45066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/45066
Therefore, the GCF of Fractions 6220/74,4640/609 is 20/45066
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 74,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,609) x common factors =1 x 1 = 1
LCM(74,609) = ( 74 × 609 ) / 1
LCM(74,609) = 45066 / 1
LCM(74,609) = 45066
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 6220/74, 4640/609?
Answer: GCF of Numerators as per given numbers 6220/74, 4640/609 is
GCF of Numerators i.e. for 6220,4640 is 20
LCM of denominators i.e. for 74,609 is 45066.
Thus, GCF of Fractions is 20/45066.Finally, GCF of Fractions for 6220/74, 4640/609 is 20/45066.