Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/84,56/69,545/70
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 81,56,545
Greatest Common Factor of Numerators i.e. GCF of 81,56,545 is 1 .
LCM of Denominators means LCM of 84,69,70 as per the given fractions.
LCM of 84,69,70 is 9660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,56,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 81,56,545 . The biggest common factor number is the GCF number.
So the greatest common factor 81,56,545 is 1.
Lets's calculate LCM of 84,69,70
2 | 84, 69, 70 |
3 | 42, 69, 35 |
7 | 14, 23, 35 |
2, 23, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 23 x 5 = 9660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9660
Therefore, the GCF of Fractions 81/84,56/69,545/70 is 1/9660
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 84,69,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,69,70) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(84,69,70) x common factors =1 x 42 = 42
LCM(84,69,70) = ( 84 × 69 × 70 ) / 42
LCM(84,69,70) = 405720 / 42
LCM(84,69,70) = 9660
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 81/84, 56/69, 545/70?
Answer: GCF of Numerators as per given numbers 81/84, 56/69, 545/70 is
GCF of Numerators i.e. for 81,56,545 is 1
LCM of denominators i.e. for 84,69,70 is 9660.
Thus, GCF of Fractions is 1/9660.Finally, GCF of Fractions for 81/84, 56/69, 545/70 is 1/9660.