Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 174/154,779/544
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 174,779
Greatest Common Factor of Numerators i.e. GCF of 174,779 is 1 .
LCM of Denominators means LCM of 154,544 as per the given fractions.
LCM of 154,544 is 41888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 174,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Greatest Common Factor
We found the factors 174,779 . The biggest common factor number is the GCF number.
So the greatest common factor 174,779 is 1.
Lets's calculate LCM of 154,544
2 | 154, 544 |
77, 272 |
∴ So the LCM of the given numbers is 2 x 77 x 272 = 41888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41888
Therefore, the GCF of Fractions 174/154,779/544 is 1/41888
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 154,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,544) x common factors =2 x 1 = 2
LCM(154,544) = ( 154 × 544 ) / 2
LCM(154,544) = 83776 / 2
LCM(154,544) = 41888
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 174/154, 779/544?
Answer: GCF of Numerators as per given numbers 174/154, 779/544 is
GCF of Numerators i.e. for 174,779 is 1
LCM of denominators i.e. for 154,544 is 41888.
Thus, GCF of Fractions is 1/41888.Finally, GCF of Fractions for 174/154, 779/544 is 1/41888.