Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/29,46/84,51/645,942/977
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 2,46,51,942
Greatest Common Factor of Numerators i.e. GCF of 2,46,51,942 is 1 .
LCM of Denominators means LCM of 29,84,645,977 as per the given fractions.
LCM of 29,84,645,977 is 511693980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,46,51,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 2,46,51,942 . The biggest common factor number is the GCF number.
So the greatest common factor 2,46,51,942 is 1.
Lets's calculate LCM of 29,84,645,977
3 | 29, 84, 645, 977 |
29, 28, 215, 977 |
∴ So the LCM of the given numbers is 3 x 29 x 28 x 215 x 977 = 511693980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/511693980
Therefore, the GCF of Fractions 2/29,46/84,51/645,942/977 is 1/511693980
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 29,84,645,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,84,645,977) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(29,84,645,977) x common factors =1 x 3 = 3
LCM(29,84,645,977) = ( 29 × 84 × 645 × 977 ) / 3
LCM(29,84,645,977) = 1535081940 / 3
LCM(29,84,645,977) = 511693980
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 2/29, 46/84, 51/645, 942/977?
Answer: GCF of Numerators as per given numbers 2/29, 46/84, 51/645, 942/977 is
GCF of Numerators i.e. for 2,46,51,942 is 1
LCM of denominators i.e. for 29,84,645,977 is 511693980.
Thus, GCF of Fractions is 1/511693980.Finally, GCF of Fractions for 2/29, 46/84, 51/645, 942/977 is 1/511693980.