Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 254/72,962/91,279/104
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 254,962,279
Greatest Common Factor of Numerators i.e. GCF of 254,962,279 is 1 .
LCM of Denominators means LCM of 72,91,104 as per the given fractions.
LCM of 72,91,104 is 6552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 254,962,279
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Greatest Common Factor
We found the factors 254,962,279 . The biggest common factor number is the GCF number.
So the greatest common factor 254,962,279 is 1.
Lets's calculate LCM of 72,91,104
2 | 72, 91, 104 |
2 | 36, 91, 52 |
2 | 18, 91, 26 |
13 | 9, 91, 13 |
9, 7, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 9 x 7 x 1 = 6552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6552
Therefore, the GCF of Fractions 254/72,962/91,279/104 is 1/6552
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 72,91,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,91,104) = 1
common factors(in case of two or more numbers have common factors) = 104
GCF(72,91,104) x common factors =1 x 104 = 104
LCM(72,91,104) = ( 72 × 91 × 104 ) / 104
LCM(72,91,104) = 681408 / 104
LCM(72,91,104) = 6552
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 254/72, 962/91, 279/104?
Answer: GCF of Numerators as per given numbers 254/72, 962/91, 279/104 is
GCF of Numerators i.e. for 254,962,279 is 1
LCM of denominators i.e. for 72,91,104 is 6552.
Thus, GCF of Fractions is 1/6552.Finally, GCF of Fractions for 254/72, 962/91, 279/104 is 1/6552.