Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/29,98/52,70/90,38/144
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 95,98,70,38
Greatest Common Factor of Numerators i.e. GCF of 95,98,70,38 is 1 .
LCM of Denominators means LCM of 29,52,90,144 as per the given fractions.
LCM of 29,52,90,144 is 271440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,98,70,38
∴ 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 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Greatest Common Factor
We found the factors 95,98,70,38 . The biggest common factor number is the GCF number.
So the greatest common factor 95,98,70,38 is 1.
Lets's calculate LCM of 29,52,90,144
2 | 29, 52, 90, 144 |
2 | 29, 26, 45, 72 |
3 | 29, 13, 45, 36 |
3 | 29, 13, 15, 12 |
29, 13, 5, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 29 x 13 x 5 x 4 = 271440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271440
Therefore, the GCF of Fractions 95/29,98/52,70/90,38/144 is 1/271440
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 29,52,90,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,52,90,144) = 1
common factors(in case of two or more numbers have common factors) = 72
GCF(29,52,90,144) x common factors =1 x 72 = 72
LCM(29,52,90,144) = ( 29 × 52 × 90 × 144 ) / 72
LCM(29,52,90,144) = 19543680 / 72
LCM(29,52,90,144) = 271440
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 95/29, 98/52, 70/90, 38/144?
Answer: GCF of Numerators as per given numbers 95/29, 98/52, 70/90, 38/144 is
GCF of Numerators i.e. for 95,98,70,38 is 1
LCM of denominators i.e. for 29,52,90,144 is 271440.
Thus, GCF of Fractions is 1/271440.Finally, GCF of Fractions for 95/29, 98/52, 70/90, 38/144 is 1/271440.