Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 361/267,930/748,205/826
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 361,930,205
Greatest Common Factor of Numerators i.e. GCF of 361,930,205 is 1 .
LCM of Denominators means LCM of 267,748,826 as per the given fractions.
LCM of 267,748,826 is 82482708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 361,930,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Greatest Common Factor
We found the factors 361,930,205 . The biggest common factor number is the GCF number.
So the greatest common factor 361,930,205 is 1.
Lets's calculate LCM of 267,748,826
2 | 267, 748, 826 |
267, 374, 413 |
∴ So the LCM of the given numbers is 2 x 267 x 374 x 413 = 82482708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82482708
Therefore, the GCF of Fractions 361/267,930/748,205/826 is 1/82482708
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 267,748,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,748,826) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(267,748,826) x common factors =1 x 2 = 2
LCM(267,748,826) = ( 267 × 748 × 826 ) / 2
LCM(267,748,826) = 164965416 / 2
LCM(267,748,826) = 82482708
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 361/267, 930/748, 205/826?
Answer: GCF of Numerators as per given numbers 361/267, 930/748, 205/826 is
GCF of Numerators i.e. for 361,930,205 is 1
LCM of denominators i.e. for 267,748,826 is 82482708.
Thus, GCF of Fractions is 1/82482708.Finally, GCF of Fractions for 361/267, 930/748, 205/826 is 1/82482708.