Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/51,67/87,537/302
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 46,67,537
Greatest Common Factor of Numerators i.e. GCF of 46,67,537 is 1 .
LCM of Denominators means LCM of 51,87,302 as per the given fractions.
LCM of 51,87,302 is 446658 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,67,537
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Greatest Common Factor
We found the factors 46,67,537 . The biggest common factor number is the GCF number.
So the greatest common factor 46,67,537 is 1.
Lets's calculate LCM of 51,87,302
3 | 51, 87, 302 |
17, 29, 302 |
∴ So the LCM of the given numbers is 3 x 17 x 29 x 302 = 446658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446658
Therefore, the GCF of Fractions 46/51,67/87,537/302 is 1/446658
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 51,87,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,87,302) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,87,302) x common factors =1 x 3 = 3
LCM(51,87,302) = ( 51 × 87 × 302 ) / 3
LCM(51,87,302) = 1339974 / 3
LCM(51,87,302) = 446658
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 46/51, 67/87, 537/302?
Answer: GCF of Numerators as per given numbers 46/51, 67/87, 537/302 is
GCF of Numerators i.e. for 46,67,537 is 1
LCM of denominators i.e. for 51,87,302 is 446658.
Thus, GCF of Fractions is 1/446658.Finally, GCF of Fractions for 46/51, 67/87, 537/302 is 1/446658.