Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 915/651,293/717,421/742
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 915,293,421
Greatest Common Factor of Numerators i.e. GCF of 915,293,421 is 1 .
LCM of Denominators means LCM of 651,717,742 as per the given fractions.
LCM of 651,717,742 is 16492434 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 915,293,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Greatest Common Factor
We found the factors 915,293,421 . The biggest common factor number is the GCF number.
So the greatest common factor 915,293,421 is 1.
Lets's calculate LCM of 651,717,742
3 | 651, 717, 742 |
7 | 217, 239, 742 |
31, 239, 106 |
∴ So the LCM of the given numbers is 3 x 7 x 31 x 239 x 106 = 16492434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16492434
Therefore, the GCF of Fractions 915/651,293/717,421/742 is 1/16492434
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 651,717,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,717,742) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(651,717,742) x common factors =1 x 21 = 21
LCM(651,717,742) = ( 651 × 717 × 742 ) / 21
LCM(651,717,742) = 346341114 / 21
LCM(651,717,742) = 16492434
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 915/651, 293/717, 421/742?
Answer: GCF of Numerators as per given numbers 915/651, 293/717, 421/742 is
GCF of Numerators i.e. for 915,293,421 is 1
LCM of denominators i.e. for 651,717,742 is 16492434.
Thus, GCF of Fractions is 1/16492434.Finally, GCF of Fractions for 915/651, 293/717, 421/742 is 1/16492434.