Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 197/13,468/88,657/651
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 197,468,657
Greatest Common Factor of Numerators i.e. GCF of 197,468,657 is 1 .
LCM of Denominators means LCM of 13,88,651 as per the given fractions.
LCM of 13,88,651 is 744744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 197,468,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Greatest Common Factor
We found the factors 197,468,657 . The biggest common factor number is the GCF number.
So the greatest common factor 197,468,657 is 1.
Lets's calculate LCM of 13,88,651
Given numbers has no common factors except 1. So, there LCM is their product i.e 744744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/744744
Therefore, the GCF of Fractions 197/13,468/88,657/651 is 1/744744
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 13,88,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,88,651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,88,651) x common factors =1 x 1 = 1
LCM(13,88,651) = ( 13 × 88 × 651 ) / 1
LCM(13,88,651) = 744744 / 1
LCM(13,88,651) = 744744
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 197/13, 468/88, 657/651?
Answer: GCF of Numerators as per given numbers 197/13, 468/88, 657/651 is
GCF of Numerators i.e. for 197,468,657 is 1
LCM of denominators i.e. for 13,88,651 is 744744.
Thus, GCF of Fractions is 1/744744.Finally, GCF of Fractions for 197/13, 468/88, 657/651 is 1/744744.