GCF of 69/12, 124/87, 193/364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 69/12, 124/87, 193/364 i.e 1/31668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/12, 124/87, 193/364.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 69/12,124/87,193/364?
Given fractions are 69/12,124/87,193/364
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 69/12,124/87,193/364, numerators are 69,124,193
Denominators are 12,87,364
The GCF of 69,124,193 is 1 .
LCM of 12,87,364 is 31668.
The greatest common factor of 69/12,124/87,193/364 = [GCF of 69,124,193]/[LCM of 12,87,364]= 1/31668
Therefore, the GCF of 69/12,124/87,193/364 is 1/31668.
To find the highest common factor of 69,124,193, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 124 are 1, 2, 4, 31, 62, 124
The factors of 193 are 1, 193
The HCF of 69,124,193 is 1.
Lets's calculate GCF of 69,124,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 69,124,193 By Matching Biggest Common Factor Method
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 124
:1,2,4,31,62,124
Now, list down the factors of 193
:1,193
Greatest Common Factor
We found the factors 69,124,193 . The biggest common factor number is the GCF number.
So the greatest common factor 69,124,193 is 1.
Lets's calculate LCM of 12,87,364
| 2 | 12, 87, 364 |
| 2 | 6, 87, 182 |
| 3 | 3, 87, 91 |
| 1, 29, 91 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 29 x 91 = 31668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31668
Therefore, the GCF of Fractions 69/12,124/87,193/364 is 1/31668
Least Common Multiple of 12,87,364 with GCF Formula
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 12,87,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,87,364) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(12,87,364) x common factors =1 x 12 = 12
LCM(12,87,364) = ( 12 × 87 × 364 ) / 12
LCM(12,87,364) = 380016 / 12
LCM(12,87,364) = 31668
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FAQs on GCF of Fractions of 69/12, 124/87, 193/364
1. What is the HCF of 69,124,193?
The HCF of 69,124,193 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 69/12, 124/87, 193/364?
Answer: GCF of Numerators as per given numbers 69/12, 124/87, 193/364 is
GCF of Numerators i.e. for 69,124,193 is 1
LCM of denominators i.e. for 12,87,364 is 31668.
Thus, GCF of Fractions is 1/31668.Finally, GCF of Fractions for 69/12, 124/87, 193/364 is 1/31668.