Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 392/71,608/97,861/662
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 392,608,861
Greatest Common Factor of Numerators i.e. GCF of 392,608,861 is 1 .
LCM of Denominators means LCM of 71,97,662 as per the given fractions.
LCM of 71,97,662 is 4559194 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 392,608,861
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Greatest Common Factor
We found the factors 392,608,861 . The biggest common factor number is the GCF number.
So the greatest common factor 392,608,861 is 1.
Lets's calculate LCM of 71,97,662
Given numbers has no common factors except 1. So, there LCM is their product i.e 4559194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4559194
Therefore, the GCF of Fractions 392/71,608/97,861/662 is 1/4559194
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 71,97,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,97,662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,97,662) x common factors =1 x 1 = 1
LCM(71,97,662) = ( 71 × 97 × 662 ) / 1
LCM(71,97,662) = 4559194 / 1
LCM(71,97,662) = 4559194
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 392/71, 608/97, 861/662?
Answer: GCF of Numerators as per given numbers 392/71, 608/97, 861/662 is
GCF of Numerators i.e. for 392,608,861 is 1
LCM of denominators i.e. for 71,97,662 is 4559194.
Thus, GCF of Fractions is 1/4559194.Finally, GCF of Fractions for 392/71, 608/97, 861/662 is 1/4559194.