Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 978/879,9775/812
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 978,9775
Greatest Common Factor of Numerators i.e. GCF of 978,9775 is 1 .
LCM of Denominators means LCM of 879,812 as per the given fractions.
LCM of 879,812 is 713748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 978,9775
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 9775
List of positive integer factors of 9775 that divides 9775 without a remainder.
1,5,17,23,25,85,115,391,425,575,1955,9775
Greatest Common Factor
We found the factors 978,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 978,9775 is 1.
Lets's calculate LCM of 879,812
Given numbers has no common factors except 1. So, there LCM is their product i.e 713748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/713748
Therefore, the GCF of Fractions 978/879,9775/812 is 1/713748
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 879,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,812) x common factors =1 x 1 = 1
LCM(879,812) = ( 879 × 812 ) / 1
LCM(879,812) = 713748 / 1
LCM(879,812) = 713748
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 978/879, 9775/812?
Answer: GCF of Numerators as per given numbers 978/879, 9775/812 is
GCF of Numerators i.e. for 978,9775 is 1
LCM of denominators i.e. for 879,812 is 713748.
Thus, GCF of Fractions is 1/713748.Finally, GCF of Fractions for 978/879, 9775/812 is 1/713748.