Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/85,40/75,30/20,93/98
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 63,40,30,93
Greatest Common Factor of Numerators i.e. GCF of 63,40,30,93 is 1 .
LCM of Denominators means LCM of 85,75,20,98 as per the given fractions.
LCM of 85,75,20,98 is 249900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,40,30,93
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Greatest Common Factor
We found the factors 63,40,30,93 . The biggest common factor number is the GCF number.
So the greatest common factor 63,40,30,93 is 1.
Lets's calculate LCM of 85,75,20,98
2 | 85, 75, 20, 98 |
5 | 85, 75, 10, 49 |
17, 15, 2, 49 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 15 x 2 x 49 = 249900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249900
Therefore, the GCF of Fractions 63/85,40/75,30/20,93/98 is 1/249900
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 85,75,20,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,75,20,98) = 1
common factors(in case of two or more numbers have common factors) = 50
GCF(85,75,20,98) x common factors =1 x 50 = 50
LCM(85,75,20,98) = ( 85 × 75 × 20 × 98 ) / 50
LCM(85,75,20,98) = 12495000 / 50
LCM(85,75,20,98) = 249900
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 63/85, 40/75, 30/20, 93/98?
Answer: GCF of Numerators as per given numbers 63/85, 40/75, 30/20, 93/98 is
GCF of Numerators i.e. for 63,40,30,93 is 1
LCM of denominators i.e. for 85,75,20,98 is 249900.
Thus, GCF of Fractions is 1/249900.Finally, GCF of Fractions for 63/85, 40/75, 30/20, 93/98 is 1/249900.