GCF of 12/558, 816/762, 625/484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 12/558, 816/762, 625/484 i.e 1/17149572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 12/558, 816/762, 625/484.
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 12/558,816/762,625/484?
Given fractions are 12/558,816/762,625/484
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 12/558,816/762,625/484, numerators are 12,816,625
Denominators are 558,762,484
The GCF of 12,816,625 is 1 .
LCM of 558,762,484 is 17149572.
The greatest common factor of 12/558,816/762,625/484 = [GCF of 12,816,625]/[LCM of 558,762,484]= 1/17149572
Therefore, the GCF of 12/558,816/762,625/484 is 1/17149572.
To find the highest common factor of 12,816,625, 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 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
The factors of 625 are 1, 5, 25, 125, 625
The HCF of 12,816,625 is 1.
Lets's calculate GCF of 12,816,625
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 12,816,625 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 816
:1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Now, list down the factors of 625
:1,5,25,125,625
Greatest Common Factor
We found the factors 12,816,625 . The biggest common factor number is the GCF number.
So the greatest common factor 12,816,625 is 1.
Lets's calculate LCM of 558,762,484
| 2 | 558, 762, 484 |
| 3 | 279, 381, 242 |
| 93, 127, 242 |
∴ So the LCM of the given numbers is 2 x 3 x 93 x 127 x 242 = 17149572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17149572
Therefore, the GCF of Fractions 12/558,816/762,625/484 is 1/17149572
Least Common Multiple of 558,762,484 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 558,762,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,762,484) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(558,762,484) x common factors =2 x 6 = 12
LCM(558,762,484) = ( 558 × 762 × 484 ) / 12
LCM(558,762,484) = 205794864 / 12
LCM(558,762,484) = 17149572
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 12/558, 816/762, 625/484
1. What is the HCF of 12,816,625?
The HCF of 12,816,625 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 12/558, 816/762, 625/484?
Answer: GCF of Numerators as per given numbers 12/558, 816/762, 625/484 is
GCF of Numerators i.e. for 12,816,625 is 1
LCM of denominators i.e. for 558,762,484 is 17149572.
Thus, GCF of Fractions is 1/17149572.Finally, GCF of Fractions for 12/558, 816/762, 625/484 is 1/17149572.