Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/40,11/85,95/72,30/16
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 63,11,95,30
Greatest Common Factor of Numerators i.e. GCF of 63,11,95,30 is 1 .
LCM of Denominators means LCM of 40,85,72,16 as per the given fractions.
LCM of 40,85,72,16 is 12240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,11,95,30
∴ 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 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Greatest Common Factor
We found the factors 63,11,95,30 . The biggest common factor number is the GCF number.
So the greatest common factor 63,11,95,30 is 1.
Lets's calculate LCM of 40,85,72,16
2 | 40, 85, 72, 16 |
2 | 20, 85, 36, 8 |
2 | 10, 85, 18, 4 |
5 | 5, 85, 9, 2 |
1, 17, 9, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 17 x 9 x 2 = 12240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12240
Therefore, the GCF of Fractions 63/40,11/85,95/72,30/16 is 1/12240
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 40,85,72,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,85,72,16) = 1
common factors(in case of two or more numbers have common factors) = 320
GCF(40,85,72,16) x common factors =1 x 320 = 320
LCM(40,85,72,16) = ( 40 × 85 × 72 × 16 ) / 320
LCM(40,85,72,16) = 3916800 / 320
LCM(40,85,72,16) = 12240
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 63/40, 11/85, 95/72, 30/16?
Answer: GCF of Numerators as per given numbers 63/40, 11/85, 95/72, 30/16 is
GCF of Numerators i.e. for 63,11,95,30 is 1
LCM of denominators i.e. for 40,85,72,16 is 12240.
Thus, GCF of Fractions is 1/12240.Finally, GCF of Fractions for 63/40, 11/85, 95/72, 30/16 is 1/12240.