Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/45,49/50,38/50,94/92
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 88,49,38,94
Greatest Common Factor of Numerators i.e. GCF of 88,49,38,94 is 1 .
LCM of Denominators means LCM of 45,50,50,92 as per the given fractions.
LCM of 45,50,50,92 is 20700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,49,38,94
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Greatest Common Factor
We found the factors 88,49,38,94 . The biggest common factor number is the GCF number.
So the greatest common factor 88,49,38,94 is 1.
Lets's calculate LCM of 45,50,50,92
2 | 45, 50, 50, 92 |
5 | 45, 25, 25, 46 |
5 | 9, 5, 5, 46 |
9, 1, 1, 46 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 9 x 1 x 1 x 46 = 20700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20700
Therefore, the GCF of Fractions 88/45,49/50,38/50,94/92 is 1/20700
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 45,50,50,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,50,50,92) = 1
common factors(in case of two or more numbers have common factors) = 500
GCF(45,50,50,92) x common factors =1 x 500 = 500
LCM(45,50,50,92) = ( 45 × 50 × 50 × 92 ) / 500
LCM(45,50,50,92) = 10350000 / 500
LCM(45,50,50,92) = 20700
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 88/45, 49/50, 38/50, 94/92?
Answer: GCF of Numerators as per given numbers 88/45, 49/50, 38/50, 94/92 is
GCF of Numerators i.e. for 88,49,38,94 is 1
LCM of denominators i.e. for 45,50,50,92 is 20700.
Thus, GCF of Fractions is 1/20700.Finally, GCF of Fractions for 88/45, 49/50, 38/50, 94/92 is 1/20700.