Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 584/780,885/446,672/843
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 584,885,672
Greatest Common Factor of Numerators i.e. GCF of 584,885,672 is 1 .
LCM of Denominators means LCM of 780,446,843 as per the given fractions.
LCM of 780,446,843 is 48877140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 584,885,672
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 584,885,672 . The biggest common factor number is the GCF number.
So the greatest common factor 584,885,672 is 1.
Lets's calculate LCM of 780,446,843
2 | 780, 446, 843 |
3 | 390, 223, 843 |
130, 223, 281 |
∴ So the LCM of the given numbers is 2 x 3 x 130 x 223 x 281 = 48877140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48877140
Therefore, the GCF of Fractions 584/780,885/446,672/843 is 1/48877140
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 780,446,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,446,843) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(780,446,843) x common factors =1 x 6 = 6
LCM(780,446,843) = ( 780 × 446 × 843 ) / 6
LCM(780,446,843) = 293262840 / 6
LCM(780,446,843) = 48877140
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 584/780, 885/446, 672/843?
Answer: GCF of Numerators as per given numbers 584/780, 885/446, 672/843 is
GCF of Numerators i.e. for 584,885,672 is 1
LCM of denominators i.e. for 780,446,843 is 48877140.
Thus, GCF of Fractions is 1/48877140.Finally, GCF of Fractions for 584/780, 885/446, 672/843 is 1/48877140.