Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9761/836,5254/779
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 9761,5254
Greatest Common Factor of Numerators i.e. GCF of 9761,5254 is 1 .
LCM of Denominators means LCM of 836,779 as per the given fractions.
LCM of 836,779 is 34276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9761,5254
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9761
List of positive integer factors of 9761 that divides 9761 without a remainder.
1,43,227,9761
Factors of 5254
List of positive integer factors of 5254 that divides 5254 without a remainder.
1,2,37,71,74,142,2627,5254
Greatest Common Factor
We found the factors 9761,5254 . The biggest common factor number is the GCF number.
So the greatest common factor 9761,5254 is 1.
Lets's calculate LCM of 836,779
19 | 836, 779 |
44, 41 |
∴ So the LCM of the given numbers is 19 x 44 x 41 = 34276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34276
Therefore, the GCF of Fractions 9761/836,5254/779 is 1/34276
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 836,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,779) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(836,779) x common factors =19 x 1 = 19
LCM(836,779) = ( 836 × 779 ) / 19
LCM(836,779) = 651244 / 19
LCM(836,779) = 34276
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 9761/836, 5254/779?
Answer: GCF of Numerators as per given numbers 9761/836, 5254/779 is
GCF of Numerators i.e. for 9761,5254 is 1
LCM of denominators i.e. for 836,779 is 34276.
Thus, GCF of Fractions is 1/34276.Finally, GCF of Fractions for 9761/836, 5254/779 is 1/34276.