Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5405/787,7512/910
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 5405,7512
Greatest Common Factor of Numerators i.e. GCF of 5405,7512 is 1 .
LCM of Denominators means LCM of 787,910 as per the given fractions.
LCM of 787,910 is 716170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5405,7512
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5405
List of positive integer factors of 5405 that divides 5405 without a remainder.
1,5,23,47,115,235,1081,5405
Factors of 7512
List of positive integer factors of 7512 that divides 7512 without a remainder.
1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512
Greatest Common Factor
We found the factors 5405,7512 . The biggest common factor number is the GCF number.
So the greatest common factor 5405,7512 is 1.
Lets's calculate LCM of 787,910
Given numbers has no common factors except 1. So, there LCM is their product i.e 716170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/716170
Therefore, the GCF of Fractions 5405/787,7512/910 is 1/716170
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 787,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,910) x common factors =1 x 1 = 1
LCM(787,910) = ( 787 × 910 ) / 1
LCM(787,910) = 716170 / 1
LCM(787,910) = 716170
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 5405/787, 7512/910?
Answer: GCF of Numerators as per given numbers 5405/787, 7512/910 is
GCF of Numerators i.e. for 5405,7512 is 1
LCM of denominators i.e. for 787,910 is 716170.
Thus, GCF of Fractions is 1/716170.Finally, GCF of Fractions for 5405/787, 7512/910 is 1/716170.