Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7787/95,1109/172
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 7787,1109
Greatest Common Factor of Numerators i.e. GCF of 7787,1109 is 1 .
LCM of Denominators means LCM of 95,172 as per the given fractions.
LCM of 95,172 is 16340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7787,1109
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7787
List of positive integer factors of 7787 that divides 7787 without a remainder.
1,13,599,7787
Factors of 1109
List of positive integer factors of 1109 that divides 1109 without a remainder.
1,1109
Greatest Common Factor
We found the factors 7787,1109 . The biggest common factor number is the GCF number.
So the greatest common factor 7787,1109 is 1.
Lets's calculate LCM of 95,172
Given numbers has no common factors except 1. So, there LCM is their product i.e 16340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16340
Therefore, the GCF of Fractions 7787/95,1109/172 is 1/16340
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 95,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,172) x common factors =1 x 1 = 1
LCM(95,172) = ( 95 × 172 ) / 1
LCM(95,172) = 16340 / 1
LCM(95,172) = 16340
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 7787/95, 1109/172?
Answer: GCF of Numerators as per given numbers 7787/95, 1109/172 is
GCF of Numerators i.e. for 7787,1109 is 1
LCM of denominators i.e. for 95,172 is 16340.
Thus, GCF of Fractions is 1/16340.Finally, GCF of Fractions for 7787/95, 1109/172 is 1/16340.