Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5620/697,9241/3950
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 5620,9241
Greatest Common Factor of Numerators i.e. GCF of 5620,9241 is 1 .
LCM of Denominators means LCM of 697,3950 as per the given fractions.
LCM of 697,3950 is 2753150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5620,9241
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5620
List of positive integer factors of 5620 that divides 5620 without a remainder.
1,2,4,5,10,20,281,562,1124,1405,2810,5620
Factors of 9241
List of positive integer factors of 9241 that divides 9241 without a remainder.
1,9241
Greatest Common Factor
We found the factors 5620,9241 . The biggest common factor number is the GCF number.
So the greatest common factor 5620,9241 is 1.
Lets's calculate LCM of 697,3950
Given numbers has no common factors except 1. So, there LCM is their product i.e 2753150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2753150
Therefore, the GCF of Fractions 5620/697,9241/3950 is 1/2753150
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 697,3950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,3950) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,3950) x common factors =1 x 1 = 1
LCM(697,3950) = ( 697 × 3950 ) / 1
LCM(697,3950) = 2753150 / 1
LCM(697,3950) = 2753150
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 5620/697, 9241/3950?
Answer: GCF of Numerators as per given numbers 5620/697, 9241/3950 is
GCF of Numerators i.e. for 5620,9241 is 1
LCM of denominators i.e. for 697,3950 is 2753150.
Thus, GCF of Fractions is 1/2753150.Finally, GCF of Fractions for 5620/697, 9241/3950 is 1/2753150.