Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8436/38,5544/670
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 8436,5544
Greatest Common Factor of Numerators i.e. GCF of 8436,5544 is 12 .
LCM of Denominators means LCM of 38,670 as per the given fractions.
LCM of 38,670 is 12730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8436,5544
2 | 8436, 5544 |
2 | 4218, 2772 |
3 | 2109, 1386 |
703, 462 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 8436
List of positive integer factors of 8436 that divides 8436 without a remainder.
1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436
Factors of 5544
List of positive integer factors of 5544 that divides 5544 without a remainder.
1,2,3,4,6,7,8,9,11,12,14,18,21,22,24,28,33,36,42,44,56,63,66,72,77,84,88,99,126,132,154,168,198,231,252,264,308,396,462,504,616,693,792,924,1386,1848,2772,5544
Greatest Common Factor
We found the factors 8436,5544 . The biggest common factor number is the GCF number.
So the greatest common factor 8436,5544 is 12.
Lets's calculate LCM of 38,670
2 | 38, 670 |
19, 335 |
∴ So the LCM of the given numbers is 2 x 19 x 335 = 12730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/12730
Therefore, the GCF of Fractions 8436/38,5544/670 is 12/12730
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 38,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,670) x common factors =2 x 1 = 2
LCM(38,670) = ( 38 × 670 ) / 2
LCM(38,670) = 25460 / 2
LCM(38,670) = 12730
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 8436/38, 5544/670?
Answer: GCF of Numerators as per given numbers 8436/38, 5544/670 is
GCF of Numerators i.e. for 8436,5544 is 12
LCM of denominators i.e. for 38,670 is 12730.
Thus, GCF of Fractions is 12/12730.Finally, GCF of Fractions for 8436/38, 5544/670 is 12/12730.