Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/77,95/58,40/44,99/46
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 36,95,40,99
Greatest Common Factor of Numerators i.e. GCF of 36,95,40,99 is 1 .
LCM of Denominators means LCM of 77,58,44,46 as per the given fractions.
LCM of 77,58,44,46 is 205436 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,95,40,99
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
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 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Greatest Common Factor
We found the factors 36,95,40,99 . The biggest common factor number is the GCF number.
So the greatest common factor 36,95,40,99 is 1.
Lets's calculate LCM of 77,58,44,46
2 | 77, 58, 44, 46 |
11 | 77, 29, 22, 23 |
7, 29, 2, 23 |
∴ So the LCM of the given numbers is 2 x 11 x 7 x 29 x 2 x 23 = 205436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205436
Therefore, the GCF of Fractions 36/77,95/58,40/44,99/46 is 1/205436
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 77,58,44,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,58,44,46) = 1
common factors(in case of two or more numbers have common factors) = 44
GCF(77,58,44,46) x common factors =1 x 44 = 44
LCM(77,58,44,46) = ( 77 × 58 × 44 × 46 ) / 44
LCM(77,58,44,46) = 9039184 / 44
LCM(77,58,44,46) = 205436
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 36/77, 95/58, 40/44, 99/46?
Answer: GCF of Numerators as per given numbers 36/77, 95/58, 40/44, 99/46 is
GCF of Numerators i.e. for 36,95,40,99 is 1
LCM of denominators i.e. for 77,58,44,46 is 205436.
Thus, GCF of Fractions is 1/205436.Finally, GCF of Fractions for 36/77, 95/58, 40/44, 99/46 is 1/205436.