Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/856,774/470,584/835
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 79,774,584
Greatest Common Factor of Numerators i.e. GCF of 79,774,584 is 1 .
LCM of Denominators means LCM of 856,470,835 as per the given fractions.
LCM of 856,470,835 is 33593720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,774,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 79,774,584 . The biggest common factor number is the GCF number.
So the greatest common factor 79,774,584 is 1.
Lets's calculate LCM of 856,470,835
2 | 856, 470, 835 |
5 | 428, 235, 835 |
428, 47, 167 |
∴ So the LCM of the given numbers is 2 x 5 x 428 x 47 x 167 = 33593720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33593720
Therefore, the GCF of Fractions 79/856,774/470,584/835 is 1/33593720
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 856,470,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,470,835) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(856,470,835) x common factors =1 x 10 = 10
LCM(856,470,835) = ( 856 × 470 × 835 ) / 10
LCM(856,470,835) = 335937200 / 10
LCM(856,470,835) = 33593720
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 79/856, 774/470, 584/835?
Answer: GCF of Numerators as per given numbers 79/856, 774/470, 584/835 is
GCF of Numerators i.e. for 79,774,584 is 1
LCM of denominators i.e. for 856,470,835 is 33593720.
Thus, GCF of Fractions is 1/33593720.Finally, GCF of Fractions for 79/856, 774/470, 584/835 is 1/33593720.