Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/62,91/45,26/295,320/121
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 8,91,26,320
Greatest Common Factor of Numerators i.e. GCF of 8,91,26,320 is 1 .
LCM of Denominators means LCM of 62,45,295,121 as per the given fractions.
LCM of 62,45,295,121 is 19917810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,91,26,320
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 8,91,26,320 . The biggest common factor number is the GCF number.
So the greatest common factor 8,91,26,320 is 1.
Lets's calculate LCM of 62,45,295,121
5 | 62, 45, 295, 121 |
62, 9, 59, 121 |
∴ So the LCM of the given numbers is 5 x 62 x 9 x 59 x 121 = 19917810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19917810
Therefore, the GCF of Fractions 8/62,91/45,26/295,320/121 is 1/19917810
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 62,45,295,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,45,295,121) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(62,45,295,121) x common factors =1 x 5 = 5
LCM(62,45,295,121) = ( 62 × 45 × 295 × 121 ) / 5
LCM(62,45,295,121) = 99589050 / 5
LCM(62,45,295,121) = 19917810
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 8/62, 91/45, 26/295, 320/121?
Answer: GCF of Numerators as per given numbers 8/62, 91/45, 26/295, 320/121 is
GCF of Numerators i.e. for 8,91,26,320 is 1
LCM of denominators i.e. for 62,45,295,121 is 19917810.
Thus, GCF of Fractions is 1/19917810.Finally, GCF of Fractions for 8/62, 91/45, 26/295, 320/121 is 1/19917810.