Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/65,23/727,390/920
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 84,23,390
Greatest Common Factor of Numerators i.e. GCF of 84,23,390 is 1 .
LCM of Denominators means LCM of 65,727,920 as per the given fractions.
LCM of 65,727,920 is 8694920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,23,390
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 84,23,390 . The biggest common factor number is the GCF number.
So the greatest common factor 84,23,390 is 1.
Lets's calculate LCM of 65,727,920
5 | 65, 727, 920 |
13, 727, 184 |
∴ So the LCM of the given numbers is 5 x 13 x 727 x 184 = 8694920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8694920
Therefore, the GCF of Fractions 84/65,23/727,390/920 is 1/8694920
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 65,727,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,727,920) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,727,920) x common factors =1 x 5 = 5
LCM(65,727,920) = ( 65 × 727 × 920 ) / 5
LCM(65,727,920) = 43474600 / 5
LCM(65,727,920) = 8694920
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 84/65, 23/727, 390/920?
Answer: GCF of Numerators as per given numbers 84/65, 23/727, 390/920 is
GCF of Numerators i.e. for 84,23,390 is 1
LCM of denominators i.e. for 65,727,920 is 8694920.
Thus, GCF of Fractions is 1/8694920.Finally, GCF of Fractions for 84/65, 23/727, 390/920 is 1/8694920.