Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/77,56/66,41/54,890/16
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 92,56,41,890
Greatest Common Factor of Numerators i.e. GCF of 92,56,41,890 is 1 .
LCM of Denominators means LCM of 77,66,54,16 as per the given fractions.
LCM of 77,66,54,16 is 33264 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,56,41,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 92,56,41,890 . The biggest common factor number is the GCF number.
So the greatest common factor 92,56,41,890 is 1.
Lets's calculate LCM of 77,66,54,16
2 | 77, 66, 54, 16 |
3 | 77, 33, 27, 8 |
11 | 77, 11, 9, 8 |
7, 1, 9, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 7 x 1 x 9 x 8 = 33264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33264
Therefore, the GCF of Fractions 92/77,56/66,41/54,890/16 is 1/33264
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 77,66,54,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,66,54,16) = 1
common factors(in case of two or more numbers have common factors) = 132
GCF(77,66,54,16) x common factors =1 x 132 = 132
LCM(77,66,54,16) = ( 77 × 66 × 54 × 16 ) / 132
LCM(77,66,54,16) = 4390848 / 132
LCM(77,66,54,16) = 33264
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 92/77, 56/66, 41/54, 890/16?
Answer: GCF of Numerators as per given numbers 92/77, 56/66, 41/54, 890/16 is
GCF of Numerators i.e. for 92,56,41,890 is 1
LCM of denominators i.e. for 77,66,54,16 is 33264.
Thus, GCF of Fractions is 1/33264.Finally, GCF of Fractions for 92/77, 56/66, 41/54, 890/16 is 1/33264.