Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 258/843,632/832,444/105
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 258,632,444
Greatest Common Factor of Numerators i.e. GCF of 258,632,444 is 2 .
LCM of Denominators means LCM of 843,832,105 as per the given fractions.
LCM of 843,832,105 is 24548160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 258,632,444
2 | 258, 632, 444 |
129, 316, 222 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 258,632,444 . The biggest common factor number is the GCF number.
So the greatest common factor 258,632,444 is 2.
Lets's calculate LCM of 843,832,105
3 | 843, 832, 105 |
281, 832, 35 |
∴ So the LCM of the given numbers is 3 x 281 x 832 x 35 = 24548160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24548160
Therefore, the GCF of Fractions 258/843,632/832,444/105 is 2/24548160
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 843,832,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,832,105) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(843,832,105) x common factors =1 x 3 = 3
LCM(843,832,105) = ( 843 × 832 × 105 ) / 3
LCM(843,832,105) = 73644480 / 3
LCM(843,832,105) = 24548160
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 258/843, 632/832, 444/105?
Answer: GCF of Numerators as per given numbers 258/843, 632/832, 444/105 is
GCF of Numerators i.e. for 258,632,444 is 2
LCM of denominators i.e. for 843,832,105 is 24548160.
Thus, GCF of Fractions is 2/24548160.Finally, GCF of Fractions for 258/843, 632/832, 444/105 is 2/24548160.