Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/51,876/74,529/609
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 548,876,529
Greatest Common Factor of Numerators i.e. GCF of 548,876,529 is 1 .
LCM of Denominators means LCM of 51,74,609 as per the given fractions.
LCM of 51,74,609 is 766122 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 548,876,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 548,876,529 . The biggest common factor number is the GCF number.
So the greatest common factor 548,876,529 is 1.
Lets's calculate LCM of 51,74,609
3 | 51, 74, 609 |
17, 74, 203 |
∴ So the LCM of the given numbers is 3 x 17 x 74 x 203 = 766122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/766122
Therefore, the GCF of Fractions 548/51,876/74,529/609 is 1/766122
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 51,74,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,74,609) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,74,609) x common factors =1 x 3 = 3
LCM(51,74,609) = ( 51 × 74 × 609 ) / 3
LCM(51,74,609) = 2298366 / 3
LCM(51,74,609) = 766122
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 548/51, 876/74, 529/609?
Answer: GCF of Numerators as per given numbers 548/51, 876/74, 529/609 is
GCF of Numerators i.e. for 548,876,529 is 1
LCM of denominators i.e. for 51,74,609 is 766122.
Thus, GCF of Fractions is 1/766122.Finally, GCF of Fractions for 548/51, 876/74, 529/609 is 1/766122.