Use our free GCF of Fractions Calculator tool to compute the GCF of 129/886, 261/534 i.e 3/236562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 129/886, 261/534.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 129/886,261/534
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 129/886,261/534, numerators are 129,261
Denominators are 886,534
The GCF of 129,261 is 3 .
LCM of 886,534 is 236562.
The greatest common factor of 129/886,261/534 = [GCF of 129,261]/[LCM of 886,534]= 3/236562
Therefore, the GCF of 129/886,261/534 is 3/236562.
To find the highest common factor of 129,261, we have to find the factors of both numbers and list the highest common factor.
The factors of 129 are 1, 3, 43, 129
The factors of 261 are 1, 3, 9, 29, 87, 261
The HCF of 129,261 is 3.
Lets's calculate GCF of 129,261
3 | 129, 261 |
43, 87 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 261
:1,3,9,29,87,261
Greatest Common Factor
We found the factors 129,261 . The biggest common factor number is the GCF number.
So the greatest common factor 129,261 is 3.
Lets's calculate LCM of 886,534
2 | 886, 534 |
443, 267 |
∴ So the LCM of the given numbers is 2 x 443 x 267 = 236562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/236562
Therefore, the GCF of Fractions 129/886,261/534 is 3/236562
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 886,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,534) x common factors =2 x 1 = 2
LCM(886,534) = ( 886 × 534 ) / 2
LCM(886,534) = 473124 / 2
LCM(886,534) = 236562
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 129,261?
The HCF of 129,261 is 3
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 129/886, 261/534?
Answer: GCF of Numerators as per given numbers 129/886, 261/534 is
GCF of Numerators i.e. for 129,261 is 3
LCM of denominators i.e. for 886,534 is 236562.
Thus, GCF of Fractions is 3/236562.Finally, GCF of Fractions for 129/886, 261/534 is 3/236562.