Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7040/45,6260/656
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 7040,6260
Greatest Common Factor of Numerators i.e. GCF of 7040,6260 is 20 .
LCM of Denominators means LCM of 45,656 as per the given fractions.
LCM of 45,656 is 29520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7040,6260
2 | 7040, 6260 |
2 | 3520, 3130 |
5 | 1760, 1565 |
352, 313 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 7040
List of positive integer factors of 7040 that divides 7040 without a remainder.
1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040
Factors of 6260
List of positive integer factors of 6260 that divides 6260 without a remainder.
1,2,4,5,10,20,313,626,1252,1565,3130,6260
Greatest Common Factor
We found the factors 7040,6260 . The biggest common factor number is the GCF number.
So the greatest common factor 7040,6260 is 20.
Lets's calculate LCM of 45,656
Given numbers has no common factors except 1. So, there LCM is their product i.e 29520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/29520
Therefore, the GCF of Fractions 7040/45,6260/656 is 20/29520
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 45,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,656) x common factors =1 x 1 = 1
LCM(45,656) = ( 45 × 656 ) / 1
LCM(45,656) = 29520 / 1
LCM(45,656) = 29520
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 7040/45, 6260/656?
Answer: GCF of Numerators as per given numbers 7040/45, 6260/656 is
GCF of Numerators i.e. for 7040,6260 is 20
LCM of denominators i.e. for 45,656 is 29520.
Thus, GCF of Fractions is 20/29520.Finally, GCF of Fractions for 7040/45, 6260/656 is 20/29520.