Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 107/1085,400/1132
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 107,400
Greatest Common Factor of Numerators i.e. GCF of 107,400 is 1 .
LCM of Denominators means LCM of 1085,1132 as per the given fractions.
LCM of 1085,1132 is 1228220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 107,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 107,400 . The biggest common factor number is the GCF number.
So the greatest common factor 107,400 is 1.
Lets's calculate LCM of 1085,1132
Given numbers has no common factors except 1. So, there LCM is their product i.e 1228220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1228220
Therefore, the GCF of Fractions 107/1085,400/1132 is 1/1228220
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 1085,1132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1085,1132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1085,1132) x common factors =1 x 1 = 1
LCM(1085,1132) = ( 1085 × 1132 ) / 1
LCM(1085,1132) = 1228220 / 1
LCM(1085,1132) = 1228220
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 107/1085, 400/1132?
Answer: GCF of Numerators as per given numbers 107/1085, 400/1132 is
GCF of Numerators i.e. for 107,400 is 1
LCM of denominators i.e. for 1085,1132 is 1228220.
Thus, GCF of Fractions is 1/1228220.Finally, GCF of Fractions for 107/1085, 400/1132 is 1/1228220.