Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/51,58/83,795/698
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 78,58,795
Greatest Common Factor of Numerators i.e. GCF of 78,58,795 is 1 .
LCM of Denominators means LCM of 51,83,698 as per the given fractions.
LCM of 51,83,698 is 2954634 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,58,795
∴ 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 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 78,58,795 . The biggest common factor number is the GCF number.
So the greatest common factor 78,58,795 is 1.
Lets's calculate LCM of 51,83,698
Given numbers has no common factors except 1. So, there LCM is their product i.e 2954634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2954634
Therefore, the GCF of Fractions 78/51,58/83,795/698 is 1/2954634
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 51,83,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,83,698) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,83,698) x common factors =1 x 1 = 1
LCM(51,83,698) = ( 51 × 83 × 698 ) / 1
LCM(51,83,698) = 2954634 / 1
LCM(51,83,698) = 2954634
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 78/51, 58/83, 795/698?
Answer: GCF of Numerators as per given numbers 78/51, 58/83, 795/698 is
GCF of Numerators i.e. for 78,58,795 is 1
LCM of denominators i.e. for 51,83,698 is 2954634.
Thus, GCF of Fractions is 1/2954634.Finally, GCF of Fractions for 78/51, 58/83, 795/698 is 1/2954634.