Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3462/77,8861/796
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 3462,8861
Greatest Common Factor of Numerators i.e. GCF of 3462,8861 is 1 .
LCM of Denominators means LCM of 77,796 as per the given fractions.
LCM of 77,796 is 61292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3462,8861
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3462
List of positive integer factors of 3462 that divides 3462 without a remainder.
1,2,3,6,577,1154,1731,3462
Factors of 8861
List of positive integer factors of 8861 that divides 8861 without a remainder.
1,8861
Greatest Common Factor
We found the factors 3462,8861 . The biggest common factor number is the GCF number.
So the greatest common factor 3462,8861 is 1.
Lets's calculate LCM of 77,796
Given numbers has no common factors except 1. So, there LCM is their product i.e 61292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61292
Therefore, the GCF of Fractions 3462/77,8861/796 is 1/61292
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 77,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,796) x common factors =1 x 1 = 1
LCM(77,796) = ( 77 × 796 ) / 1
LCM(77,796) = 61292 / 1
LCM(77,796) = 61292
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 3462/77, 8861/796?
Answer: GCF of Numerators as per given numbers 3462/77, 8861/796 is
GCF of Numerators i.e. for 3462,8861 is 1
LCM of denominators i.e. for 77,796 is 61292.
Thus, GCF of Fractions is 1/61292.Finally, GCF of Fractions for 3462/77, 8861/796 is 1/61292.