Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/26,17/26,67/50,64/755
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 22,17,67,64
Greatest Common Factor of Numerators i.e. GCF of 22,17,67,64 is 1 .
LCM of Denominators means LCM of 26,26,50,755 as per the given fractions.
LCM of 26,26,50,755 is 98150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 22,17,67,64
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Greatest Common Factor
We found the factors 22,17,67,64 . The biggest common factor number is the GCF number.
So the greatest common factor 22,17,67,64 is 1.
Lets's calculate LCM of 26,26,50,755
2 | 26, 26, 50, 755 |
5 | 13, 13, 25, 755 |
13 | 13, 13, 5, 151 |
1, 1, 5, 151 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 1 x 5 x 151 = 98150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98150
Therefore, the GCF of Fractions 22/26,17/26,67/50,64/755 is 1/98150
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 26,26,50,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,26,50,755) = 1
common factors(in case of two or more numbers have common factors) = 260
GCF(26,26,50,755) x common factors =1 x 260 = 260
LCM(26,26,50,755) = ( 26 × 26 × 50 × 755 ) / 260
LCM(26,26,50,755) = 25519000 / 260
LCM(26,26,50,755) = 98150
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 22/26, 17/26, 67/50, 64/755?
Answer: GCF of Numerators as per given numbers 22/26, 17/26, 67/50, 64/755 is
GCF of Numerators i.e. for 22,17,67,64 is 1
LCM of denominators i.e. for 26,26,50,755 is 98150.
Thus, GCF of Fractions is 1/98150.Finally, GCF of Fractions for 22/26, 17/26, 67/50, 64/755 is 1/98150.