Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1156/83,7109/875
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 1156,7109
Greatest Common Factor of Numerators i.e. GCF of 1156,7109 is 1 .
LCM of Denominators means LCM of 83,875 as per the given fractions.
LCM of 83,875 is 72625 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1156,7109
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1156
List of positive integer factors of 1156 that divides 1156 without a remainder.
1,2,4,17,34,68,289,578,1156
Factors of 7109
List of positive integer factors of 7109 that divides 7109 without a remainder.
1,7109
Greatest Common Factor
We found the factors 1156,7109 . The biggest common factor number is the GCF number.
So the greatest common factor 1156,7109 is 1.
Lets's calculate LCM of 83,875
Given numbers has no common factors except 1. So, there LCM is their product i.e 72625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72625
Therefore, the GCF of Fractions 1156/83,7109/875 is 1/72625
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 83,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,875) x common factors =1 x 1 = 1
LCM(83,875) = ( 83 × 875 ) / 1
LCM(83,875) = 72625 / 1
LCM(83,875) = 72625
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 1156/83, 7109/875?
Answer: GCF of Numerators as per given numbers 1156/83, 7109/875 is
GCF of Numerators i.e. for 1156,7109 is 1
LCM of denominators i.e. for 83,875 is 72625.
Thus, GCF of Fractions is 1/72625.Finally, GCF of Fractions for 1156/83, 7109/875 is 1/72625.