GCF of 12/286, 13/572, 825/505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 12/286, 13/572, 825/505 i.e 1/288860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 12/286, 13/572, 825/505.
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 12/286,13/572,825/505?
Given fractions are 12/286,13/572,825/505
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 12/286,13/572,825/505, numerators are 12,13,825
Denominators are 286,572,505
The GCF of 12,13,825 is 1 .
LCM of 286,572,505 is 288860.
The greatest common factor of 12/286,13/572,825/505 = [GCF of 12,13,825]/[LCM of 286,572,505]= 1/288860
Therefore, the GCF of 12/286,13/572,825/505 is 1/288860.
To find the highest common factor of 12,13,825, we have to find the factors of both numbers and list the highest common factor.
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 13 are 1, 13
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The HCF of 12,13,825 is 1.
Lets's calculate GCF of 12,13,825
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 12,13,825 By Matching Biggest Common Factor Method
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 13
:1,13
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 12,13,825 . The biggest common factor number is the GCF number.
So the greatest common factor 12,13,825 is 1.
Lets's calculate LCM of 286,572,505
| 2 | 286, 572, 505 |
| 11 | 143, 286, 505 |
| 13 | 13, 26, 505 |
| 1, 2, 505 |
∴ So the LCM of the given numbers is 2 x 11 x 13 x 1 x 2 x 505 = 288860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288860
Therefore, the GCF of Fractions 12/286,13/572,825/505 is 1/288860
Least Common Multiple of 286,572,505 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 286,572,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,572,505) = 1
common factors(in case of two or more numbers have common factors) = 286
GCF(286,572,505) x common factors =1 x 286 = 286
LCM(286,572,505) = ( 286 × 572 × 505 ) / 286
LCM(286,572,505) = 82613960 / 286
LCM(286,572,505) = 288860
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FAQs on GCF of Fractions of 12/286, 13/572, 825/505
1. What is the HCF of 12,13,825?
The HCF of 12,13,825 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 12/286, 13/572, 825/505?
Answer: GCF of Numerators as per given numbers 12/286, 13/572, 825/505 is
GCF of Numerators i.e. for 12,13,825 is 1
LCM of denominators i.e. for 286,572,505 is 288860.
Thus, GCF of Fractions is 1/288860.Finally, GCF of Fractions for 12/286, 13/572, 825/505 is 1/288860.