Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1174/925,8187/3077
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 1174,8187
Greatest Common Factor of Numerators i.e. GCF of 1174,8187 is 1 .
LCM of Denominators means LCM of 925,3077 as per the given fractions.
LCM of 925,3077 is 2846225 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1174,8187
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1174
List of positive integer factors of 1174 that divides 1174 without a remainder.
1,2,587,1174
Factors of 8187
List of positive integer factors of 8187 that divides 8187 without a remainder.
1,3,2729,8187
Greatest Common Factor
We found the factors 1174,8187 . The biggest common factor number is the GCF number.
So the greatest common factor 1174,8187 is 1.
Lets's calculate LCM of 925,3077
Given numbers has no common factors except 1. So, there LCM is their product i.e 2846225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2846225
Therefore, the GCF of Fractions 1174/925,8187/3077 is 1/2846225
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 925,3077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,3077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,3077) x common factors =1 x 1 = 1
LCM(925,3077) = ( 925 × 3077 ) / 1
LCM(925,3077) = 2846225 / 1
LCM(925,3077) = 2846225
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 1174/925, 8187/3077?
Answer: GCF of Numerators as per given numbers 1174/925, 8187/3077 is
GCF of Numerators i.e. for 1174,8187 is 1
LCM of denominators i.e. for 925,3077 is 2846225.
Thus, GCF of Fractions is 1/2846225.Finally, GCF of Fractions for 1174/925, 8187/3077 is 1/2846225.