Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/146,40/424,79/914
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 7,40,79
Greatest Common Factor of Numerators i.e. GCF of 7,40,79 is 1 .
LCM of Denominators means LCM of 146,424,914 as per the given fractions.
LCM of 146,424,914 is 14145064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,40,79
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Greatest Common Factor
We found the factors 7,40,79 . The biggest common factor number is the GCF number.
So the greatest common factor 7,40,79 is 1.
Lets's calculate LCM of 146,424,914
2 | 146, 424, 914 |
73, 212, 457 |
∴ So the LCM of the given numbers is 2 x 73 x 212 x 457 = 14145064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14145064
Therefore, the GCF of Fractions 7/146,40/424,79/914 is 1/14145064
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 146,424,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,424,914) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(146,424,914) x common factors =2 x 2 = 4
LCM(146,424,914) = ( 146 × 424 × 914 ) / 4
LCM(146,424,914) = 56580256 / 4
LCM(146,424,914) = 14145064
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 7/146, 40/424, 79/914?
Answer: GCF of Numerators as per given numbers 7/146, 40/424, 79/914 is
GCF of Numerators i.e. for 7,40,79 is 1
LCM of denominators i.e. for 146,424,914 is 14145064.
Thus, GCF of Fractions is 1/14145064.Finally, GCF of Fractions for 7/146, 40/424, 79/914 is 1/14145064.