Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8436/551,2148/848
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 8436,2148
Greatest Common Factor of Numerators i.e. GCF of 8436,2148 is 12 .
LCM of Denominators means LCM of 551,848 as per the given fractions.
LCM of 551,848 is 467248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8436,2148
2 | 8436, 2148 |
2 | 4218, 1074 |
3 | 2109, 537 |
703, 179 |
∴ 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 2148
List of positive integer factors of 2148 that divides 2148 without a remainder.
1,2,3,4,6,12,179,358,537,716,1074,2148
Greatest Common Factor
We found the factors 8436,2148 . The biggest common factor number is the GCF number.
So the greatest common factor 8436,2148 is 12.
Lets's calculate LCM of 551,848
Given numbers has no common factors except 1. So, there LCM is their product i.e 467248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/467248
Therefore, the GCF of Fractions 8436/551,2148/848 is 12/467248
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 551,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,848) x common factors =1 x 1 = 1
LCM(551,848) = ( 551 × 848 ) / 1
LCM(551,848) = 467248 / 1
LCM(551,848) = 467248
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 8436/551, 2148/848?
Answer: GCF of Numerators as per given numbers 8436/551, 2148/848 is
GCF of Numerators i.e. for 8436,2148 is 12
LCM of denominators i.e. for 551,848 is 467248.
Thus, GCF of Fractions is 12/467248.Finally, GCF of Fractions for 8436/551, 2148/848 is 12/467248.