Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/654,137/269,791/540
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 210,137,791
Greatest Common Factor of Numerators i.e. GCF of 210,137,791 is 1 .
LCM of Denominators means LCM of 654,269,540 as per the given fractions.
LCM of 654,269,540 is 15833340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 210,137,791
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Greatest Common Factor
We found the factors 210,137,791 . The biggest common factor number is the GCF number.
So the greatest common factor 210,137,791 is 1.
Lets's calculate LCM of 654,269,540
2 | 654, 269, 540 |
3 | 327, 269, 270 |
109, 269, 90 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 269 x 90 = 15833340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15833340
Therefore, the GCF of Fractions 210/654,137/269,791/540 is 1/15833340
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 654,269,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,269,540) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(654,269,540) x common factors =1 x 6 = 6
LCM(654,269,540) = ( 654 × 269 × 540 ) / 6
LCM(654,269,540) = 95000040 / 6
LCM(654,269,540) = 15833340
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 210/654, 137/269, 791/540?
Answer: GCF of Numerators as per given numbers 210/654, 137/269, 791/540 is
GCF of Numerators i.e. for 210,137,791 is 1
LCM of denominators i.e. for 654,269,540 is 15833340.
Thus, GCF of Fractions is 1/15833340.Finally, GCF of Fractions for 210/654, 137/269, 791/540 is 1/15833340.