Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/59,653/82,856/873
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 78,653,856
Greatest Common Factor of Numerators i.e. GCF of 78,653,856 is 1 .
LCM of Denominators means LCM of 59,82,873 as per the given fractions.
LCM of 59,82,873 is 4223574 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,653,856
∴ 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 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 78,653,856 . The biggest common factor number is the GCF number.
So the greatest common factor 78,653,856 is 1.
Lets's calculate LCM of 59,82,873
Given numbers has no common factors except 1. So, there LCM is their product i.e 4223574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4223574
Therefore, the GCF of Fractions 78/59,653/82,856/873 is 1/4223574
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 59,82,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,82,873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,82,873) x common factors =1 x 1 = 1
LCM(59,82,873) = ( 59 × 82 × 873 ) / 1
LCM(59,82,873) = 4223574 / 1
LCM(59,82,873) = 4223574
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 78/59, 653/82, 856/873?
Answer: GCF of Numerators as per given numbers 78/59, 653/82, 856/873 is
GCF of Numerators i.e. for 78,653,856 is 1
LCM of denominators i.e. for 59,82,873 is 4223574.
Thus, GCF of Fractions is 1/4223574.Finally, GCF of Fractions for 78/59, 653/82, 856/873 is 1/4223574.