Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 956/497,323/854,847/465
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 956,323,847
Greatest Common Factor of Numerators i.e. GCF of 956,323,847 is 1 .
LCM of Denominators means LCM of 497,854,465 as per the given fractions.
LCM of 497,854,465 is 28194810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 956,323,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 956,323,847 . The biggest common factor number is the GCF number.
So the greatest common factor 956,323,847 is 1.
Lets's calculate LCM of 497,854,465
7 | 497, 854, 465 |
71, 122, 465 |
∴ So the LCM of the given numbers is 7 x 71 x 122 x 465 = 28194810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28194810
Therefore, the GCF of Fractions 956/497,323/854,847/465 is 1/28194810
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 497,854,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,854,465) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(497,854,465) x common factors =1 x 7 = 7
LCM(497,854,465) = ( 497 × 854 × 465 ) / 7
LCM(497,854,465) = 197363670 / 7
LCM(497,854,465) = 28194810
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 956/497, 323/854, 847/465?
Answer: GCF of Numerators as per given numbers 956/497, 323/854, 847/465 is
GCF of Numerators i.e. for 956,323,847 is 1
LCM of denominators i.e. for 497,854,465 is 28194810.
Thus, GCF of Fractions is 1/28194810.Finally, GCF of Fractions for 956/497, 323/854, 847/465 is 1/28194810.