Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/56,29/91,85/424,734/864
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 3,29,85,734
Greatest Common Factor of Numerators i.e. GCF of 3,29,85,734 is 1 .
LCM of Denominators means LCM of 56,91,424,864 as per the given fractions.
LCM of 56,91,424,864 is 4167072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,29,85,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors 3,29,85,734 . The biggest common factor number is the GCF number.
So the greatest common factor 3,29,85,734 is 1.
Lets's calculate LCM of 56,91,424,864
2 | 56, 91, 424, 864 |
2 | 28, 91, 212, 432 |
2 | 14, 91, 106, 216 |
7 | 7, 91, 53, 108 |
1, 13, 53, 108 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 13 x 53 x 108 = 4167072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4167072
Therefore, the GCF of Fractions 3/56,29/91,85/424,734/864 is 1/4167072
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 56,91,424,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,91,424,864) = 1
common factors(in case of two or more numbers have common factors) = 448
GCF(56,91,424,864) x common factors =1 x 448 = 448
LCM(56,91,424,864) = ( 56 × 91 × 424 × 864 ) / 448
LCM(56,91,424,864) = 1866848256 / 448
LCM(56,91,424,864) = 4167072
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 3/56, 29/91, 85/424, 734/864?
Answer: GCF of Numerators as per given numbers 3/56, 29/91, 85/424, 734/864 is
GCF of Numerators i.e. for 3,29,85,734 is 1
LCM of denominators i.e. for 56,91,424,864 is 4167072.
Thus, GCF of Fractions is 1/4167072.Finally, GCF of Fractions for 3/56, 29/91, 85/424, 734/864 is 1/4167072.