Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/489,746/219,820/696
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 85,746,820
Greatest Common Factor of Numerators i.e. GCF of 85,746,820 is 1 .
LCM of Denominators means LCM of 489,219,696 as per the given fractions.
LCM of 489,219,696 is 8281704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 85,746,820
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 85,746,820 . The biggest common factor number is the GCF number.
So the greatest common factor 85,746,820 is 1.
Lets's calculate LCM of 489,219,696
3 | 489, 219, 696 |
163, 73, 232 |
∴ So the LCM of the given numbers is 3 x 163 x 73 x 232 = 8281704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8281704
Therefore, the GCF of Fractions 85/489,746/219,820/696 is 1/8281704
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 489,219,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,219,696) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(489,219,696) x common factors =3 x 3 = 9
LCM(489,219,696) = ( 489 × 219 × 696 ) / 9
LCM(489,219,696) = 74535336 / 9
LCM(489,219,696) = 8281704
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 85/489, 746/219, 820/696?
Answer: GCF of Numerators as per given numbers 85/489, 746/219, 820/696 is
GCF of Numerators i.e. for 85,746,820 is 1
LCM of denominators i.e. for 489,219,696 is 8281704.
Thus, GCF of Fractions is 1/8281704.Finally, GCF of Fractions for 85/489, 746/219, 820/696 is 1/8281704.