Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/55,89/72,42/85,48/45
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 49,89,42,48
Greatest Common Factor of Numerators i.e. GCF of 49,89,42,48 is 1 .
LCM of Denominators means LCM of 55,72,85,45 as per the given fractions.
LCM of 55,72,85,45 is 67320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,89,42,48
∴ 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 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Greatest Common Factor
We found the factors 49,89,42,48 . The biggest common factor number is the GCF number.
So the greatest common factor 49,89,42,48 is 1.
Lets's calculate LCM of 55,72,85,45
3 | 55, 72, 85, 45 |
3 | 55, 24, 85, 15 |
5 | 55, 8, 85, 5 |
11, 8, 17, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 8 x 17 x 1 = 67320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67320
Therefore, the GCF of Fractions 49/55,89/72,42/85,48/45 is 1/67320
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 55,72,85,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,72,85,45) = 1
common factors(in case of two or more numbers have common factors) = 225
GCF(55,72,85,45) x common factors =1 x 225 = 225
LCM(55,72,85,45) = ( 55 × 72 × 85 × 45 ) / 225
LCM(55,72,85,45) = 15147000 / 225
LCM(55,72,85,45) = 67320
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 49/55, 89/72, 42/85, 48/45?
Answer: GCF of Numerators as per given numbers 49/55, 89/72, 42/85, 48/45 is
GCF of Numerators i.e. for 49,89,42,48 is 1
LCM of denominators i.e. for 55,72,85,45 is 67320.
Thus, GCF of Fractions is 1/67320.Finally, GCF of Fractions for 49/55, 89/72, 42/85, 48/45 is 1/67320.