GCF of 2789/723, 9828/3186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2789/723, 9828/3186 i.e 1/767826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2789/723, 9828/3186.
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 2789/723,9828/3186?
Given fractions are 2789/723,9828/3186
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 2789/723,9828/3186, numerators are 2789,9828
Denominators are 723,3186
The GCF of 2789,9828 is 1 .
LCM of 723,3186 is 767826.
The greatest common factor of 2789/723,9828/3186 = [GCF of 2789,9828]/[LCM of 723,3186]= 1/767826
Therefore, the GCF of 2789/723,9828/3186 is 1/767826.
To find the highest common factor of 2789,9828, we have to find the factors of both numbers and list the highest common factor.
The factors of 2789 are 1, 2789
The factors of 9828 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828
The HCF of 2789,9828 is 1.
Lets's calculate GCF of 2789,9828
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2789,9828 By Matching Biggest Common Factor Method
Now, list down the factors of 2789
:1,2789
Now, list down the factors of 9828
:1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828
Greatest Common Factor
We found the factors 2789,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 2789,9828 is 1.
Lets's calculate LCM of 723,3186
| 3 | 723, 3186 |
| 241, 1062 |
∴ So the LCM of the given numbers is 3 x 241 x 1062 = 767826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/767826
Therefore, the GCF of Fractions 2789/723,9828/3186 is 1/767826
Least Common Multiple of 723,3186 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 723,3186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,3186) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,3186) x common factors =3 x 1 = 3
LCM(723,3186) = ( 723 × 3186 ) / 3
LCM(723,3186) = 2303478 / 3
LCM(723,3186) = 767826
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FAQs on GCF of Fractions of 2789/723, 9828/3186
1. What is the HCF of 2789,9828?
The HCF of 2789,9828 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 2789/723, 9828/3186?
Answer: GCF of Numerators as per given numbers 2789/723, 9828/3186 is
GCF of Numerators i.e. for 2789,9828 is 1
LCM of denominators i.e. for 723,3186 is 767826.
Thus, GCF of Fractions is 1/767826.Finally, GCF of Fractions for 2789/723, 9828/3186 is 1/767826.