Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/11,779/63,358/54
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 955,779,358
Greatest Common Factor of Numerators i.e. GCF of 955,779,358 is 1 .
LCM of Denominators means LCM of 11,63,54 as per the given fractions.
LCM of 11,63,54 is 4158 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 955,779,358
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Greatest Common Factor
We found the factors 955,779,358 . The biggest common factor number is the GCF number.
So the greatest common factor 955,779,358 is 1.
Lets's calculate LCM of 11,63,54
3 | 11, 63, 54 |
3 | 11, 21, 18 |
11, 7, 6 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 7 x 6 = 4158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4158
Therefore, the GCF of Fractions 955/11,779/63,358/54 is 1/4158
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 11,63,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,63,54) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(11,63,54) x common factors =1 x 9 = 9
LCM(11,63,54) = ( 11 × 63 × 54 ) / 9
LCM(11,63,54) = 37422 / 9
LCM(11,63,54) = 4158
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 955/11, 779/63, 358/54?
Answer: GCF of Numerators as per given numbers 955/11, 779/63, 358/54 is
GCF of Numerators i.e. for 955,779,358 is 1
LCM of denominators i.e. for 11,63,54 is 4158.
Thus, GCF of Fractions is 1/4158.Finally, GCF of Fractions for 955/11, 779/63, 358/54 is 1/4158.