Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/11,70/36,826/83
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 79,70,826
Greatest Common Factor of Numerators i.e. GCF of 79,70,826 is 1 .
LCM of Denominators means LCM of 11,36,83 as per the given fractions.
LCM of 11,36,83 is 32868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,70,826
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 79,70,826 . The biggest common factor number is the GCF number.
So the greatest common factor 79,70,826 is 1.
Lets's calculate LCM of 11,36,83
Given numbers has no common factors except 1. So, there LCM is their product i.e 32868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32868
Therefore, the GCF of Fractions 79/11,70/36,826/83 is 1/32868
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 11,36,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,36,83) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,36,83) x common factors =1 x 1 = 1
LCM(11,36,83) = ( 11 × 36 × 83 ) / 1
LCM(11,36,83) = 32868 / 1
LCM(11,36,83) = 32868
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 79/11, 70/36, 826/83?
Answer: GCF of Numerators as per given numbers 79/11, 70/36, 826/83 is
GCF of Numerators i.e. for 79,70,826 is 1
LCM of denominators i.e. for 11,36,83 is 32868.
Thus, GCF of Fractions is 1/32868.Finally, GCF of Fractions for 79/11, 70/36, 826/83 is 1/32868.