Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/35,43/22,20/85,63/89
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 49,43,20,63
Greatest Common Factor of Numerators i.e. GCF of 49,43,20,63 is 1 .
LCM of Denominators means LCM of 35,22,85,89 as per the given fractions.
LCM of 35,22,85,89 is 1165010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,43,20,63
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Greatest Common Factor
We found the factors 49,43,20,63 . The biggest common factor number is the GCF number.
So the greatest common factor 49,43,20,63 is 1.
Lets's calculate LCM of 35,22,85,89
5 | 35, 22, 85, 89 |
7, 22, 17, 89 |
∴ So the LCM of the given numbers is 5 x 7 x 22 x 17 x 89 = 1165010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1165010
Therefore, the GCF of Fractions 49/35,43/22,20/85,63/89 is 1/1165010
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 35,22,85,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,22,85,89) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,22,85,89) x common factors =1 x 5 = 5
LCM(35,22,85,89) = ( 35 × 22 × 85 × 89 ) / 5
LCM(35,22,85,89) = 5825050 / 5
LCM(35,22,85,89) = 1165010
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 49/35, 43/22, 20/85, 63/89?
Answer: GCF of Numerators as per given numbers 49/35, 43/22, 20/85, 63/89 is
GCF of Numerators i.e. for 49,43,20,63 is 1
LCM of denominators i.e. for 35,22,85,89 is 1165010.
Thus, GCF of Fractions is 1/1165010.Finally, GCF of Fractions for 49/35, 43/22, 20/85, 63/89 is 1/1165010.