Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6664/565,1114/6280
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 6664,1114
Greatest Common Factor of Numerators i.e. GCF of 6664,1114 is 2 .
LCM of Denominators means LCM of 565,6280 as per the given fractions.
LCM of 565,6280 is 709640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6664,1114
2 | 6664, 1114 |
3332, 557 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6664
List of positive integer factors of 6664 that divides 6664 without a remainder.
1,2,4,7,8,14,17,28,34,49,56,68,98,119,136,196,238,392,476,833,952,1666,3332,6664
Factors of 1114
List of positive integer factors of 1114 that divides 1114 without a remainder.
1,2,557,1114
Greatest Common Factor
We found the factors 6664,1114 . The biggest common factor number is the GCF number.
So the greatest common factor 6664,1114 is 2.
Lets's calculate LCM of 565,6280
5 | 565, 6280 |
113, 1256 |
∴ So the LCM of the given numbers is 5 x 113 x 1256 = 709640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/709640
Therefore, the GCF of Fractions 6664/565,1114/6280 is 2/709640
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 565,6280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,6280) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(565,6280) x common factors =5 x 1 = 5
LCM(565,6280) = ( 565 × 6280 ) / 5
LCM(565,6280) = 3548200 / 5
LCM(565,6280) = 709640
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 6664/565, 1114/6280?
Answer: GCF of Numerators as per given numbers 6664/565, 1114/6280 is
GCF of Numerators i.e. for 6664,1114 is 2
LCM of denominators i.e. for 565,6280 is 709640.
Thus, GCF of Fractions is 2/709640.Finally, GCF of Fractions for 6664/565, 1114/6280 is 2/709640.