Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/936,433/857,826/377
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 94,433,826
Greatest Common Factor of Numerators i.e. GCF of 94,433,826 is 1 .
LCM of Denominators means LCM of 936,857,377 as per the given fractions.
LCM of 936,857,377 is 23262408 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,433,826
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 94,433,826 . The biggest common factor number is the GCF number.
So the greatest common factor 94,433,826 is 1.
Lets's calculate LCM of 936,857,377
13 | 936, 857, 377 |
72, 857, 29 |
∴ So the LCM of the given numbers is 13 x 72 x 857 x 29 = 23262408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23262408
Therefore, the GCF of Fractions 94/936,433/857,826/377 is 1/23262408
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 936,857,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,857,377) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(936,857,377) x common factors =1 x 13 = 13
LCM(936,857,377) = ( 936 × 857 × 377 ) / 13
LCM(936,857,377) = 302411304 / 13
LCM(936,857,377) = 23262408
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 94/936, 433/857, 826/377?
Answer: GCF of Numerators as per given numbers 94/936, 433/857, 826/377 is
GCF of Numerators i.e. for 94,433,826 is 1
LCM of denominators i.e. for 936,857,377 is 23262408.
Thus, GCF of Fractions is 1/23262408.Finally, GCF of Fractions for 94/936, 433/857, 826/377 is 1/23262408.