Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 338/77,794/63,872/348
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 338,794,872
Greatest Common Factor of Numerators i.e. GCF of 338,794,872 is 2 .
LCM of Denominators means LCM of 77,63,348 as per the given fractions.
LCM of 77,63,348 is 80388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 338,794,872
2 | 338, 794, 872 |
169, 397, 436 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 338,794,872 . The biggest common factor number is the GCF number.
So the greatest common factor 338,794,872 is 2.
Lets's calculate LCM of 77,63,348
3 | 77, 63, 348 |
7 | 77, 21, 116 |
11, 3, 116 |
∴ So the LCM of the given numbers is 3 x 7 x 11 x 3 x 116 = 80388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80388
Therefore, the GCF of Fractions 338/77,794/63,872/348 is 2/80388
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 77,63,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,63,348) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(77,63,348) x common factors =1 x 21 = 21
LCM(77,63,348) = ( 77 × 63 × 348 ) / 21
LCM(77,63,348) = 1688148 / 21
LCM(77,63,348) = 80388
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 338/77, 794/63, 872/348?
Answer: GCF of Numerators as per given numbers 338/77, 794/63, 872/348 is
GCF of Numerators i.e. for 338,794,872 is 2
LCM of denominators i.e. for 77,63,348 is 80388.
Thus, GCF of Fractions is 2/80388.Finally, GCF of Fractions for 338/77, 794/63, 872/348 is 2/80388.