Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6749/92,6087/212
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 6749,6087
Greatest Common Factor of Numerators i.e. GCF of 6749,6087 is 1 .
LCM of Denominators means LCM of 92,212 as per the given fractions.
LCM of 92,212 is 4876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6749,6087
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6749
List of positive integer factors of 6749 that divides 6749 without a remainder.
1,17,397,6749
Factors of 6087
List of positive integer factors of 6087 that divides 6087 without a remainder.
1,3,2029,6087
Greatest Common Factor
We found the factors 6749,6087 . The biggest common factor number is the GCF number.
So the greatest common factor 6749,6087 is 1.
Lets's calculate LCM of 92,212
2 | 92, 212 |
2 | 46, 106 |
23, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 53 = 4876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4876
Therefore, the GCF of Fractions 6749/92,6087/212 is 1/4876
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 92,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,212) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(92,212) x common factors =4 x 1 = 4
LCM(92,212) = ( 92 × 212 ) / 4
LCM(92,212) = 19504 / 4
LCM(92,212) = 4876
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 6749/92, 6087/212?
Answer: GCF of Numerators as per given numbers 6749/92, 6087/212 is
GCF of Numerators i.e. for 6749,6087 is 1
LCM of denominators i.e. for 92,212 is 4876.
Thus, GCF of Fractions is 1/4876.Finally, GCF of Fractions for 6749/92, 6087/212 is 1/4876.