Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6218/81,7179/758
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 6218,7179
Greatest Common Factor of Numerators i.e. GCF of 6218,7179 is 1 .
LCM of Denominators means LCM of 81,758 as per the given fractions.
LCM of 81,758 is 61398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6218,7179
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6218
List of positive integer factors of 6218 that divides 6218 without a remainder.
1,2,3109,6218
Factors of 7179
List of positive integer factors of 7179 that divides 7179 without a remainder.
1,3,2393,7179
Greatest Common Factor
We found the factors 6218,7179 . The biggest common factor number is the GCF number.
So the greatest common factor 6218,7179 is 1.
Lets's calculate LCM of 81,758
Given numbers has no common factors except 1. So, there LCM is their product i.e 61398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61398
Therefore, the GCF of Fractions 6218/81,7179/758 is 1/61398
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 81,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,758) x common factors =1 x 1 = 1
LCM(81,758) = ( 81 × 758 ) / 1
LCM(81,758) = 61398 / 1
LCM(81,758) = 61398
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 6218/81, 7179/758?
Answer: GCF of Numerators as per given numbers 6218/81, 7179/758 is
GCF of Numerators i.e. for 6218,7179 is 1
LCM of denominators i.e. for 81,758 is 61398.
Thus, GCF of Fractions is 1/61398.Finally, GCF of Fractions for 6218/81, 7179/758 is 1/61398.