Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7420/709,5050/8587
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 7420,5050
Greatest Common Factor of Numerators i.e. GCF of 7420,5050 is 10 .
LCM of Denominators means LCM of 709,8587 as per the given fractions.
LCM of 709,8587 is 6088183 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7420,5050
2 | 7420, 5050 |
5 | 3710, 2525 |
742, 505 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 7420
List of positive integer factors of 7420 that divides 7420 without a remainder.
1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420
Factors of 5050
List of positive integer factors of 5050 that divides 5050 without a remainder.
1,2,5,10,25,50,101,202,505,1010,2525,5050
Greatest Common Factor
We found the factors 7420,5050 . The biggest common factor number is the GCF number.
So the greatest common factor 7420,5050 is 10.
Lets's calculate LCM of 709,8587
Given numbers has no common factors except 1. So, there LCM is their product i.e 6088183
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6088183
Therefore, the GCF of Fractions 7420/709,5050/8587 is 10/6088183
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 709,8587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,8587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,8587) x common factors =1 x 1 = 1
LCM(709,8587) = ( 709 × 8587 ) / 1
LCM(709,8587) = 6088183 / 1
LCM(709,8587) = 6088183
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 7420/709, 5050/8587?
Answer: GCF of Numerators as per given numbers 7420/709, 5050/8587 is
GCF of Numerators i.e. for 7420,5050 is 10
LCM of denominators i.e. for 709,8587 is 6088183.
Thus, GCF of Fractions is 10/6088183.Finally, GCF of Fractions for 7420/709, 5050/8587 is 10/6088183.