Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/90,34/67,93/21,728/54
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 95,34,93,728
Greatest Common Factor of Numerators i.e. GCF of 95,34,93,728 is 1 .
LCM of Denominators means LCM of 90,67,21,54 as per the given fractions.
LCM of 90,67,21,54 is 126630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,34,93,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 95,34,93,728 . The biggest common factor number is the GCF number.
So the greatest common factor 95,34,93,728 is 1.
Lets's calculate LCM of 90,67,21,54
2 | 90, 67, 21, 54 |
3 | 45, 67, 21, 27 |
3 | 15, 67, 7, 9 |
5, 67, 7, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 67 x 7 x 3 = 126630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126630
Therefore, the GCF of Fractions 95/90,34/67,93/21,728/54 is 1/126630
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 90,67,21,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,67,21,54) = 1
common factors(in case of two or more numbers have common factors) = 54
GCF(90,67,21,54) x common factors =1 x 54 = 54
LCM(90,67,21,54) = ( 90 × 67 × 21 × 54 ) / 54
LCM(90,67,21,54) = 6838020 / 54
LCM(90,67,21,54) = 126630
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 95/90, 34/67, 93/21, 728/54?
Answer: GCF of Numerators as per given numbers 95/90, 34/67, 93/21, 728/54 is
GCF of Numerators i.e. for 95,34,93,728 is 1
LCM of denominators i.e. for 90,67,21,54 is 126630.
Thus, GCF of Fractions is 1/126630.Finally, GCF of Fractions for 95/90, 34/67, 93/21, 728/54 is 1/126630.