Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7020/533,5077/3017
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 7020,5077
Greatest Common Factor of Numerators i.e. GCF of 7020,5077 is 1 .
LCM of Denominators means LCM of 533,3017 as per the given fractions.
LCM of 533,3017 is 1608061 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7020,5077
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7020
List of positive integer factors of 7020 that divides 7020 without a remainder.
1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020
Factors of 5077
List of positive integer factors of 5077 that divides 5077 without a remainder.
1,5077
Greatest Common Factor
We found the factors 7020,5077 . The biggest common factor number is the GCF number.
So the greatest common factor 7020,5077 is 1.
Lets's calculate LCM of 533,3017
Given numbers has no common factors except 1. So, there LCM is their product i.e 1608061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1608061
Therefore, the GCF of Fractions 7020/533,5077/3017 is 1/1608061
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 533,3017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,3017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,3017) x common factors =1 x 1 = 1
LCM(533,3017) = ( 533 × 3017 ) / 1
LCM(533,3017) = 1608061 / 1
LCM(533,3017) = 1608061
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 7020/533, 5077/3017?
Answer: GCF of Numerators as per given numbers 7020/533, 5077/3017 is
GCF of Numerators i.e. for 7020,5077 is 1
LCM of denominators i.e. for 533,3017 is 1608061.
Thus, GCF of Fractions is 1/1608061.Finally, GCF of Fractions for 7020/533, 5077/3017 is 1/1608061.