Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6139/540,2167/5211
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 6139,2167
Greatest Common Factor of Numerators i.e. GCF of 6139,2167 is 1 .
LCM of Denominators means LCM of 540,5211 as per the given fractions.
LCM of 540,5211 is 104220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6139,2167
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6139
List of positive integer factors of 6139 that divides 6139 without a remainder.
1,7,877,6139
Factors of 2167
List of positive integer factors of 2167 that divides 2167 without a remainder.
1,11,197,2167
Greatest Common Factor
We found the factors 6139,2167 . The biggest common factor number is the GCF number.
So the greatest common factor 6139,2167 is 1.
Lets's calculate LCM of 540,5211
3 | 540, 5211 |
3 | 180, 1737 |
3 | 60, 579 |
20, 193 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 20 x 193 = 104220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104220
Therefore, the GCF of Fractions 6139/540,2167/5211 is 1/104220
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 540,5211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,5211) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(540,5211) x common factors =27 x 1 = 27
LCM(540,5211) = ( 540 × 5211 ) / 27
LCM(540,5211) = 2813940 / 27
LCM(540,5211) = 104220
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 6139/540, 2167/5211?
Answer: GCF of Numerators as per given numbers 6139/540, 2167/5211 is
GCF of Numerators i.e. for 6139,2167 is 1
LCM of denominators i.e. for 540,5211 is 104220.
Thus, GCF of Fractions is 1/104220.Finally, GCF of Fractions for 6139/540, 2167/5211 is 1/104220.