Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/302,51/812,654/613
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 36,51,654
Greatest Common Factor of Numerators i.e. GCF of 36,51,654 is 3 .
LCM of Denominators means LCM of 302,812,613 as per the given fractions.
LCM of 302,812,613 is 75161156 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,51,654
3 | 36, 51, 654 |
12, 17, 218 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 36,51,654 . The biggest common factor number is the GCF number.
So the greatest common factor 36,51,654 is 3.
Lets's calculate LCM of 302,812,613
2 | 302, 812, 613 |
151, 406, 613 |
∴ So the LCM of the given numbers is 2 x 151 x 406 x 613 = 75161156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75161156
Therefore, the GCF of Fractions 36/302,51/812,654/613 is 3/75161156
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 302,812,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,812,613) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(302,812,613) x common factors =1 x 2 = 2
LCM(302,812,613) = ( 302 × 812 × 613 ) / 2
LCM(302,812,613) = 150322312 / 2
LCM(302,812,613) = 75161156
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 36/302, 51/812, 654/613?
Answer: GCF of Numerators as per given numbers 36/302, 51/812, 654/613 is
GCF of Numerators i.e. for 36,51,654 is 3
LCM of denominators i.e. for 302,812,613 is 75161156.
Thus, GCF of Fractions is 3/75161156.Finally, GCF of Fractions for 36/302, 51/812, 654/613 is 3/75161156.