Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 712/27,829/23,935/857
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 712,829,935
Greatest Common Factor of Numerators i.e. GCF of 712,829,935 is 1 .
LCM of Denominators means LCM of 27,23,857 as per the given fractions.
LCM of 27,23,857 is 532197 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 712,829,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 712,829,935 . The biggest common factor number is the GCF number.
So the greatest common factor 712,829,935 is 1.
Lets's calculate LCM of 27,23,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 532197
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/532197
Therefore, the GCF of Fractions 712/27,829/23,935/857 is 1/532197
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 27,23,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,23,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,23,857) x common factors =1 x 1 = 1
LCM(27,23,857) = ( 27 × 23 × 857 ) / 1
LCM(27,23,857) = 532197 / 1
LCM(27,23,857) = 532197
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 712/27, 829/23, 935/857?
Answer: GCF of Numerators as per given numbers 712/27, 829/23, 935/857 is
GCF of Numerators i.e. for 712,829,935 is 1
LCM of denominators i.e. for 27,23,857 is 532197.
Thus, GCF of Fractions is 1/532197.Finally, GCF of Fractions for 712/27, 829/23, 935/857 is 1/532197.