Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 482/45,126/44,551/636
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 482,126,551
Greatest Common Factor of Numerators i.e. GCF of 482,126,551 is 1 .
LCM of Denominators means LCM of 45,44,636 as per the given fractions.
LCM of 45,44,636 is 104940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 482,126,551
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Greatest Common Factor
We found the factors 482,126,551 . The biggest common factor number is the GCF number.
So the greatest common factor 482,126,551 is 1.
Lets's calculate LCM of 45,44,636
2 | 45, 44, 636 |
2 | 45, 22, 318 |
3 | 45, 11, 159 |
15, 11, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 15 x 11 x 53 = 104940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104940
Therefore, the GCF of Fractions 482/45,126/44,551/636 is 1/104940
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 45,44,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,44,636) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(45,44,636) x common factors =1 x 12 = 12
LCM(45,44,636) = ( 45 × 44 × 636 ) / 12
LCM(45,44,636) = 1259280 / 12
LCM(45,44,636) = 104940
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 482/45, 126/44, 551/636?
Answer: GCF of Numerators as per given numbers 482/45, 126/44, 551/636 is
GCF of Numerators i.e. for 482,126,551 is 1
LCM of denominators i.e. for 45,44,636 is 104940.
Thus, GCF of Fractions is 1/104940.Finally, GCF of Fractions for 482/45, 126/44, 551/636 is 1/104940.