Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7040/583,7643/9464
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 7040,7643
Greatest Common Factor of Numerators i.e. GCF of 7040,7643 is 1 .
LCM of Denominators means LCM of 583,9464 as per the given fractions.
LCM of 583,9464 is 5517512 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7040,7643
∴ So GCF of numbers is 1 because of no common factors present between them.
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 7643
List of positive integer factors of 7643 that divides 7643 without a remainder.
1,7643
Greatest Common Factor
We found the factors 7040,7643 . The biggest common factor number is the GCF number.
So the greatest common factor 7040,7643 is 1.
Lets's calculate LCM of 583,9464
Given numbers has no common factors except 1. So, there LCM is their product i.e 5517512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5517512
Therefore, the GCF of Fractions 7040/583,7643/9464 is 1/5517512
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 583,9464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,9464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,9464) x common factors =1 x 1 = 1
LCM(583,9464) = ( 583 × 9464 ) / 1
LCM(583,9464) = 5517512 / 1
LCM(583,9464) = 5517512
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 7040/583, 7643/9464?
Answer: GCF of Numerators as per given numbers 7040/583, 7643/9464 is
GCF of Numerators i.e. for 7040,7643 is 1
LCM of denominators i.e. for 583,9464 is 5517512.
Thus, GCF of Fractions is 1/5517512.Finally, GCF of Fractions for 7040/583, 7643/9464 is 1/5517512.