Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/73,92/33,54/802,469/748
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 6,92,54,469
Greatest Common Factor of Numerators i.e. GCF of 6,92,54,469 is 1 .
LCM of Denominators means LCM of 73,33,802,748 as per the given fractions.
LCM of 73,33,802,748 is 65688612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,92,54,469
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Greatest Common Factor
We found the factors 6,92,54,469 . The biggest common factor number is the GCF number.
So the greatest common factor 6,92,54,469 is 1.
Lets's calculate LCM of 73,33,802,748
2 | 73, 33, 802, 748 |
11 | 73, 33, 401, 374 |
73, 3, 401, 34 |
∴ So the LCM of the given numbers is 2 x 11 x 73 x 3 x 401 x 34 = 65688612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65688612
Therefore, the GCF of Fractions 6/73,92/33,54/802,469/748 is 1/65688612
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 73,33,802,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,33,802,748) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(73,33,802,748) x common factors =1 x 22 = 22
LCM(73,33,802,748) = ( 73 × 33 × 802 × 748 ) / 22
LCM(73,33,802,748) = 1445149464 / 22
LCM(73,33,802,748) = 65688612
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 6/73, 92/33, 54/802, 469/748?
Answer: GCF of Numerators as per given numbers 6/73, 92/33, 54/802, 469/748 is
GCF of Numerators i.e. for 6,92,54,469 is 1
LCM of denominators i.e. for 73,33,802,748 is 65688612.
Thus, GCF of Fractions is 1/65688612.Finally, GCF of Fractions for 6/73, 92/33, 54/802, 469/748 is 1/65688612.