Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/84,58/19,787/199
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 77,58,787
Greatest Common Factor of Numerators i.e. GCF of 77,58,787 is 1 .
LCM of Denominators means LCM of 84,19,199 as per the given fractions.
LCM of 84,19,199 is 317604 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,58,787
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Greatest Common Factor
We found the factors 77,58,787 . The biggest common factor number is the GCF number.
So the greatest common factor 77,58,787 is 1.
Lets's calculate LCM of 84,19,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 317604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317604
Therefore, the GCF of Fractions 77/84,58/19,787/199 is 1/317604
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 84,19,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,19,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,19,199) x common factors =1 x 1 = 1
LCM(84,19,199) = ( 84 × 19 × 199 ) / 1
LCM(84,19,199) = 317604 / 1
LCM(84,19,199) = 317604
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 77/84, 58/19, 787/199?
Answer: GCF of Numerators as per given numbers 77/84, 58/19, 787/199 is
GCF of Numerators i.e. for 77,58,787 is 1
LCM of denominators i.e. for 84,19,199 is 317604.
Thus, GCF of Fractions is 1/317604.Finally, GCF of Fractions for 77/84, 58/19, 787/199 is 1/317604.