Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 258/64,242/95,626/116
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 258,242,626
Greatest Common Factor of Numerators i.e. GCF of 258,242,626 is 2 .
LCM of Denominators means LCM of 64,95,116 as per the given fractions.
LCM of 64,95,116 is 176320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 258,242,626
2 | 258, 242, 626 |
129, 121, 313 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 258,242,626 . The biggest common factor number is the GCF number.
So the greatest common factor 258,242,626 is 2.
Lets's calculate LCM of 64,95,116
2 | 64, 95, 116 |
2 | 32, 95, 58 |
16, 95, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 95 x 29 = 176320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176320
Therefore, the GCF of Fractions 258/64,242/95,626/116 is 2/176320
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 64,95,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,95,116) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(64,95,116) x common factors =1 x 4 = 4
LCM(64,95,116) = ( 64 × 95 × 116 ) / 4
LCM(64,95,116) = 705280 / 4
LCM(64,95,116) = 176320
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 258/64, 242/95, 626/116?
Answer: GCF of Numerators as per given numbers 258/64, 242/95, 626/116 is
GCF of Numerators i.e. for 258,242,626 is 2
LCM of denominators i.e. for 64,95,116 is 176320.
Thus, GCF of Fractions is 2/176320.Finally, GCF of Fractions for 258/64, 242/95, 626/116 is 2/176320.