Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/435,90/686,590/867
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 61,90,590
Greatest Common Factor of Numerators i.e. GCF of 61,90,590 is 1 .
LCM of Denominators means LCM of 435,686,867 as per the given fractions.
LCM of 435,686,867 is 86240490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,90,590
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 61,90,590 . The biggest common factor number is the GCF number.
So the greatest common factor 61,90,590 is 1.
Lets's calculate LCM of 435,686,867
3 | 435, 686, 867 |
145, 686, 289 |
∴ So the LCM of the given numbers is 3 x 145 x 686 x 289 = 86240490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86240490
Therefore, the GCF of Fractions 61/435,90/686,590/867 is 1/86240490
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 435,686,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,686,867) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(435,686,867) x common factors =1 x 3 = 3
LCM(435,686,867) = ( 435 × 686 × 867 ) / 3
LCM(435,686,867) = 258721470 / 3
LCM(435,686,867) = 86240490
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 61/435, 90/686, 590/867?
Answer: GCF of Numerators as per given numbers 61/435, 90/686, 590/867 is
GCF of Numerators i.e. for 61,90,590 is 1
LCM of denominators i.e. for 435,686,867 is 86240490.
Thus, GCF of Fractions is 1/86240490.Finally, GCF of Fractions for 61/435, 90/686, 590/867 is 1/86240490.