Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 904/78,177/7099
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 904,177
Greatest Common Factor of Numerators i.e. GCF of 904,177 is 1 .
LCM of Denominators means LCM of 78,7099 as per the given fractions.
LCM of 78,7099 is 553722 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 904,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 904,177 . The biggest common factor number is the GCF number.
So the greatest common factor 904,177 is 1.
Lets's calculate LCM of 78,7099
Given numbers has no common factors except 1. So, there LCM is their product i.e 553722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553722
Therefore, the GCF of Fractions 904/78,177/7099 is 1/553722
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 78,7099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,7099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,7099) x common factors =1 x 1 = 1
LCM(78,7099) = ( 78 × 7099 ) / 1
LCM(78,7099) = 553722 / 1
LCM(78,7099) = 553722
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 904/78, 177/7099?
Answer: GCF of Numerators as per given numbers 904/78, 177/7099 is
GCF of Numerators i.e. for 904,177 is 1
LCM of denominators i.e. for 78,7099 is 553722.
Thus, GCF of Fractions is 1/553722.Finally, GCF of Fractions for 904/78, 177/7099 is 1/553722.