Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/64,442/82,124/162
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 220,442,124
Greatest Common Factor of Numerators i.e. GCF of 220,442,124 is 2 .
LCM of Denominators means LCM of 64,82,162 as per the given fractions.
LCM of 64,82,162 is 212544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 220,442,124
2 | 220, 442, 124 |
110, 221, 62 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 220,442,124 . The biggest common factor number is the GCF number.
So the greatest common factor 220,442,124 is 2.
Lets's calculate LCM of 64,82,162
2 | 64, 82, 162 |
32, 41, 81 |
∴ So the LCM of the given numbers is 2 x 32 x 41 x 81 = 212544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212544
Therefore, the GCF of Fractions 220/64,442/82,124/162 is 2/212544
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 64,82,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,82,162) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(64,82,162) x common factors =2 x 2 = 4
LCM(64,82,162) = ( 64 × 82 × 162 ) / 4
LCM(64,82,162) = 850176 / 4
LCM(64,82,162) = 212544
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 220/64, 442/82, 124/162?
Answer: GCF of Numerators as per given numbers 220/64, 442/82, 124/162 is
GCF of Numerators i.e. for 220,442,124 is 2
LCM of denominators i.e. for 64,82,162 is 212544.
Thus, GCF of Fractions is 2/212544.Finally, GCF of Fractions for 220/64, 442/82, 124/162 is 2/212544.