Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/326,36/645,953/857
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 78,36,953
Greatest Common Factor of Numerators i.e. GCF of 78,36,953 is 1 .
LCM of Denominators means LCM of 326,645,857 as per the given fractions.
LCM of 326,645,857 is 180201390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,36,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 78,36,953 . The biggest common factor number is the GCF number.
So the greatest common factor 78,36,953 is 1.
Lets's calculate LCM of 326,645,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 180201390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180201390
Therefore, the GCF of Fractions 78/326,36/645,953/857 is 1/180201390
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 326,645,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,645,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,645,857) x common factors =1 x 1 = 1
LCM(326,645,857) = ( 326 × 645 × 857 ) / 1
LCM(326,645,857) = 180201390 / 1
LCM(326,645,857) = 180201390
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 78/326, 36/645, 953/857?
Answer: GCF of Numerators as per given numbers 78/326, 36/645, 953/857 is
GCF of Numerators i.e. for 78,36,953 is 1
LCM of denominators i.e. for 326,645,857 is 180201390.
Thus, GCF of Fractions is 1/180201390.Finally, GCF of Fractions for 78/326, 36/645, 953/857 is 1/180201390.