Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6062/200,7480/5707
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 6062,7480
Greatest Common Factor of Numerators i.e. GCF of 6062,7480 is 2 .
LCM of Denominators means LCM of 200,5707 as per the given fractions.
LCM of 200,5707 is 1141400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6062,7480
2 | 6062, 7480 |
3031, 3740 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6062
List of positive integer factors of 6062 that divides 6062 without a remainder.
1,2,7,14,433,866,3031,6062
Factors of 7480
List of positive integer factors of 7480 that divides 7480 without a remainder.
1,2,4,5,8,10,11,17,20,22,34,40,44,55,68,85,88,110,136,170,187,220,340,374,440,680,748,935,1496,1870,3740,7480
Greatest Common Factor
We found the factors 6062,7480 . The biggest common factor number is the GCF number.
So the greatest common factor 6062,7480 is 2.
Lets's calculate LCM of 200,5707
Given numbers has no common factors except 1. So, there LCM is their product i.e 1141400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1141400
Therefore, the GCF of Fractions 6062/200,7480/5707 is 2/1141400
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 200,5707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,5707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,5707) x common factors =1 x 1 = 1
LCM(200,5707) = ( 200 × 5707 ) / 1
LCM(200,5707) = 1141400 / 1
LCM(200,5707) = 1141400
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 6062/200, 7480/5707?
Answer: GCF of Numerators as per given numbers 6062/200, 7480/5707 is
GCF of Numerators i.e. for 6062,7480 is 2
LCM of denominators i.e. for 200,5707 is 1141400.
Thus, GCF of Fractions is 2/1141400.Finally, GCF of Fractions for 6062/200, 7480/5707 is 2/1141400.