GCF of 288/832, 813/810, 378/826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 288/832, 813/810, 378/826 i.e 3/139164480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 288/832, 813/810, 378/826.
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 288/832,813/810,378/826?
Given fractions are 288/832,813/810,378/826
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 288/832,813/810,378/826, numerators are 288,813,378
Denominators are 832,810,826
The GCF of 288,813,378 is 3 .
LCM of 832,810,826 is 139164480.
The greatest common factor of 288/832,813/810,378/826 = [GCF of 288,813,378]/[LCM of 832,810,826]= 3/139164480
Therefore, the GCF of 288/832,813/810,378/826 is 3/139164480.
To find the highest common factor of 288,813,378, we have to find the factors of both numbers and list the highest common factor.
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The factors of 813 are 1, 3, 271, 813
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 288,813,378 is 3.
Lets's calculate GCF of 288,813,378
| 3 | 288, 813, 378 |
| 96, 271, 126 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 288,813,378 By Matching Biggest Common Factor Method
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Now, list down the factors of 813
:1,3,271,813
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 288,813,378 . The biggest common factor number is the GCF number.
So the greatest common factor 288,813,378 is 3.
Lets's calculate LCM of 832,810,826
| 2 | 832, 810, 826 |
| 416, 405, 413 |
∴ So the LCM of the given numbers is 2 x 416 x 405 x 413 = 139164480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/139164480
Therefore, the GCF of Fractions 288/832,813/810,378/826 is 3/139164480
Least Common Multiple of 832,810,826 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 832,810,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,810,826) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(832,810,826) x common factors =2 x 2 = 4
LCM(832,810,826) = ( 832 × 810 × 826 ) / 4
LCM(832,810,826) = 556657920 / 4
LCM(832,810,826) = 139164480
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FAQs on GCF of Fractions of 288/832, 813/810, 378/826
1. What is the HCF of 288,813,378?
The HCF of 288,813,378 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 288/832, 813/810, 378/826?
Answer: GCF of Numerators as per given numbers 288/832, 813/810, 378/826 is
GCF of Numerators i.e. for 288,813,378 is 3
LCM of denominators i.e. for 832,810,826 is 139164480.
Thus, GCF of Fractions is 3/139164480.Finally, GCF of Fractions for 288/832, 813/810, 378/826 is 3/139164480.