Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/62,11/759,265/910
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 53,11,265
Greatest Common Factor of Numerators i.e. GCF of 53,11,265 is 1 .
LCM of Denominators means LCM of 62,759,910 as per the given fractions.
LCM of 62,759,910 is 21411390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 53,11,265
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Greatest Common Factor
We found the factors 53,11,265 . The biggest common factor number is the GCF number.
So the greatest common factor 53,11,265 is 1.
Lets's calculate LCM of 62,759,910
2 | 62, 759, 910 |
31, 759, 455 |
∴ So the LCM of the given numbers is 2 x 31 x 759 x 455 = 21411390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21411390
Therefore, the GCF of Fractions 53/62,11/759,265/910 is 1/21411390
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 62,759,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,759,910) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,759,910) x common factors =1 x 2 = 2
LCM(62,759,910) = ( 62 × 759 × 910 ) / 2
LCM(62,759,910) = 42822780 / 2
LCM(62,759,910) = 21411390
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 53/62, 11/759, 265/910?
Answer: GCF of Numerators as per given numbers 53/62, 11/759, 265/910 is
GCF of Numerators i.e. for 53,11,265 is 1
LCM of denominators i.e. for 62,759,910 is 21411390.
Thus, GCF of Fractions is 1/21411390.Finally, GCF of Fractions for 53/62, 11/759, 265/910 is 1/21411390.