Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/70,43/16,617/690
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 61,43,617
Greatest Common Factor of Numerators i.e. GCF of 61,43,617 is 1 .
LCM of Denominators means LCM of 70,16,690 as per the given fractions.
LCM of 70,16,690 is 38640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,43,617
∴ 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 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 61,43,617 . The biggest common factor number is the GCF number.
So the greatest common factor 61,43,617 is 1.
Lets's calculate LCM of 70,16,690
2 | 70, 16, 690 |
5 | 35, 8, 345 |
7, 8, 69 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 8 x 69 = 38640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38640
Therefore, the GCF of Fractions 61/70,43/16,617/690 is 1/38640
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 70,16,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,16,690) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(70,16,690) x common factors =2 x 10 = 20
LCM(70,16,690) = ( 70 × 16 × 690 ) / 20
LCM(70,16,690) = 772800 / 20
LCM(70,16,690) = 38640
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 61/70, 43/16, 617/690?
Answer: GCF of Numerators as per given numbers 61/70, 43/16, 617/690 is
GCF of Numerators i.e. for 61,43,617 is 1
LCM of denominators i.e. for 70,16,690 is 38640.
Thus, GCF of Fractions is 1/38640.Finally, GCF of Fractions for 61/70, 43/16, 617/690 is 1/38640.