Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 261/105,292/768,732/290
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 261,292,732
Greatest Common Factor of Numerators i.e. GCF of 261,292,732 is 1 .
LCM of Denominators means LCM of 105,768,290 as per the given fractions.
LCM of 105,768,290 is 779520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 261,292,732
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 261,292,732 . The biggest common factor number is the GCF number.
So the greatest common factor 261,292,732 is 1.
Lets's calculate LCM of 105,768,290
2 | 105, 768, 290 |
3 | 105, 384, 145 |
5 | 35, 128, 145 |
7, 128, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 128 x 29 = 779520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/779520
Therefore, the GCF of Fractions 261/105,292/768,732/290 is 1/779520
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 105,768,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,768,290) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(105,768,290) x common factors =1 x 30 = 30
LCM(105,768,290) = ( 105 × 768 × 290 ) / 30
LCM(105,768,290) = 23385600 / 30
LCM(105,768,290) = 779520
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 261/105, 292/768, 732/290?
Answer: GCF of Numerators as per given numbers 261/105, 292/768, 732/290 is
GCF of Numerators i.e. for 261,292,732 is 1
LCM of denominators i.e. for 105,768,290 is 779520.
Thus, GCF of Fractions is 1/779520.Finally, GCF of Fractions for 261/105, 292/768, 732/290 is 1/779520.