Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3571/81,7029/178
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 3571,7029
Greatest Common Factor of Numerators i.e. GCF of 3571,7029 is 1 .
LCM of Denominators means LCM of 81,178 as per the given fractions.
LCM of 81,178 is 14418 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3571,7029
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3571
List of positive integer factors of 3571 that divides 3571 without a remainder.
1,3571
Factors of 7029
List of positive integer factors of 7029 that divides 7029 without a remainder.
1,3,9,11,33,71,99,213,639,781,2343,7029
Greatest Common Factor
We found the factors 3571,7029 . The biggest common factor number is the GCF number.
So the greatest common factor 3571,7029 is 1.
Lets's calculate LCM of 81,178
Given numbers has no common factors except 1. So, there LCM is their product i.e 14418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14418
Therefore, the GCF of Fractions 3571/81,7029/178 is 1/14418
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 81,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,178) x common factors =1 x 1 = 1
LCM(81,178) = ( 81 × 178 ) / 1
LCM(81,178) = 14418 / 1
LCM(81,178) = 14418
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 3571/81, 7029/178?
Answer: GCF of Numerators as per given numbers 3571/81, 7029/178 is
GCF of Numerators i.e. for 3571,7029 is 1
LCM of denominators i.e. for 81,178 is 14418.
Thus, GCF of Fractions is 1/14418.Finally, GCF of Fractions for 3571/81, 7029/178 is 1/14418.