Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7640/499,3578/280
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 7640,3578
Greatest Common Factor of Numerators i.e. GCF of 7640,3578 is 2 .
LCM of Denominators means LCM of 499,280 as per the given fractions.
LCM of 499,280 is 139720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7640,3578
2 | 7640, 3578 |
3820, 1789 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7640
List of positive integer factors of 7640 that divides 7640 without a remainder.
1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640
Factors of 3578
List of positive integer factors of 3578 that divides 3578 without a remainder.
1,2,1789,3578
Greatest Common Factor
We found the factors 7640,3578 . The biggest common factor number is the GCF number.
So the greatest common factor 7640,3578 is 2.
Lets's calculate LCM of 499,280
Given numbers has no common factors except 1. So, there LCM is their product i.e 139720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139720
Therefore, the GCF of Fractions 7640/499,3578/280 is 2/139720
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 499,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,280) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,280) x common factors =1 x 1 = 1
LCM(499,280) = ( 499 × 280 ) / 1
LCM(499,280) = 139720 / 1
LCM(499,280) = 139720
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 7640/499, 3578/280?
Answer: GCF of Numerators as per given numbers 7640/499, 3578/280 is
GCF of Numerators i.e. for 7640,3578 is 2
LCM of denominators i.e. for 499,280 is 139720.
Thus, GCF of Fractions is 2/139720.Finally, GCF of Fractions for 7640/499, 3578/280 is 2/139720.