Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/67,162/47,856/772
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 741,162,856
Greatest Common Factor of Numerators i.e. GCF of 741,162,856 is 1 .
LCM of Denominators means LCM of 67,47,772 as per the given fractions.
LCM of 67,47,772 is 2431028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 741,162,856
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
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 741,162,856 . The biggest common factor number is the GCF number.
So the greatest common factor 741,162,856 is 1.
Lets's calculate LCM of 67,47,772
Given numbers has no common factors except 1. So, there LCM is their product i.e 2431028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2431028
Therefore, the GCF of Fractions 741/67,162/47,856/772 is 1/2431028
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 67,47,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,47,772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,47,772) x common factors =1 x 1 = 1
LCM(67,47,772) = ( 67 × 47 × 772 ) / 1
LCM(67,47,772) = 2431028 / 1
LCM(67,47,772) = 2431028
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 741/67, 162/47, 856/772?
Answer: GCF of Numerators as per given numbers 741/67, 162/47, 856/772 is
GCF of Numerators i.e. for 741,162,856 is 1
LCM of denominators i.e. for 67,47,772 is 2431028.
Thus, GCF of Fractions is 1/2431028.Finally, GCF of Fractions for 741/67, 162/47, 856/772 is 1/2431028.