Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 440/56,763/13,126/474
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 440,763,126
Greatest Common Factor of Numerators i.e. GCF of 440,763,126 is 1 .
LCM of Denominators means LCM of 56,13,474 as per the given fractions.
LCM of 56,13,474 is 172536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 440,763,126
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
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
Greatest Common Factor
We found the factors 440,763,126 . The biggest common factor number is the GCF number.
So the greatest common factor 440,763,126 is 1.
Lets's calculate LCM of 56,13,474
2 | 56, 13, 474 |
28, 13, 237 |
∴ So the LCM of the given numbers is 2 x 28 x 13 x 237 = 172536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172536
Therefore, the GCF of Fractions 440/56,763/13,126/474 is 1/172536
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 56,13,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,13,474) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(56,13,474) x common factors =1 x 2 = 2
LCM(56,13,474) = ( 56 × 13 × 474 ) / 2
LCM(56,13,474) = 345072 / 2
LCM(56,13,474) = 172536
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 440/56, 763/13, 126/474?
Answer: GCF of Numerators as per given numbers 440/56, 763/13, 126/474 is
GCF of Numerators i.e. for 440,763,126 is 1
LCM of denominators i.e. for 56,13,474 is 172536.
Thus, GCF of Fractions is 1/172536.Finally, GCF of Fractions for 440/56, 763/13, 126/474 is 1/172536.