Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2668/29,2898/267
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 2668,2898
Greatest Common Factor of Numerators i.e. GCF of 2668,2898 is 46 .
LCM of Denominators means LCM of 29,267 as per the given fractions.
LCM of 29,267 is 7743 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2668,2898
2 | 2668, 2898 |
23 | 1334, 1449 |
58, 63 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Factors of 2668
List of positive integer factors of 2668 that divides 2668 without a remainder.
1,2,4,23,29,46,58,92,116,667,1334,2668
Factors of 2898
List of positive integer factors of 2898 that divides 2898 without a remainder.
1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898
Greatest Common Factor
We found the factors 2668,2898 . The biggest common factor number is the GCF number.
So the greatest common factor 2668,2898 is 46.
Lets's calculate LCM of 29,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 7743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/7743
Therefore, the GCF of Fractions 2668/29,2898/267 is 46/7743
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 29,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,267) x common factors =1 x 1 = 1
LCM(29,267) = ( 29 × 267 ) / 1
LCM(29,267) = 7743 / 1
LCM(29,267) = 7743
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 2668/29, 2898/267?
Answer: GCF of Numerators as per given numbers 2668/29, 2898/267 is
GCF of Numerators i.e. for 2668,2898 is 46
LCM of denominators i.e. for 29,267 is 7743.
Thus, GCF of Fractions is 46/7743.Finally, GCF of Fractions for 2668/29, 2898/267 is 46/7743.