Use our free GCF of Fractions Calculator tool to compute the GCF of 60/981, 26/941, 207/109 i.e 1/923121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/981, 26/941, 207/109.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/981,26/941,207/109
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 60/981,26/941,207/109, numerators are 60,26,207
Denominators are 981,941,109
The GCF of 60,26,207 is 1 .
LCM of 981,941,109 is 923121.
The greatest common factor of 60/981,26/941,207/109 = [GCF of 60,26,207]/[LCM of 981,941,109]= 1/923121
Therefore, the GCF of 60/981,26/941,207/109 is 1/923121.
To find the highest common factor of 60,26,207, we have to find the factors of both numbers and list the highest common factor.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 26 are 1, 2, 13, 26
The factors of 207 are 1, 3, 9, 23, 69, 207
The HCF of 60,26,207 is 1.
Lets's calculate GCF of 60,26,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 60,26,207 . The biggest common factor number is the GCF number.
So the greatest common factor 60,26,207 is 1.
Lets's calculate LCM of 981,941,109
109 | 981, 941, 109 |
9, 941, 1 |
∴ So the LCM of the given numbers is 109 x 9 x 941 x 1 = 923121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/923121
Therefore, the GCF of Fractions 60/981,26/941,207/109 is 1/923121
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 981,941,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,941,109) = 1
common factors(in case of two or more numbers have common factors) = 109
GCF(981,941,109) x common factors =1 x 109 = 109
LCM(981,941,109) = ( 981 × 941 × 109 ) / 109
LCM(981,941,109) = 100620189 / 109
LCM(981,941,109) = 923121
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 60,26,207?
The HCF of 60,26,207 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 60/981, 26/941, 207/109?
Answer: GCF of Numerators as per given numbers 60/981, 26/941, 207/109 is
GCF of Numerators i.e. for 60,26,207 is 1
LCM of denominators i.e. for 981,941,109 is 923121.
Thus, GCF of Fractions is 1/923121.Finally, GCF of Fractions for 60/981, 26/941, 207/109 is 1/923121.