GCF of 891/584, 783/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 891/584, 783/614 i.e 27/179288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 891/584, 783/614.
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 891/584,783/614?
Given fractions are 891/584,783/614
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 891/584,783/614, numerators are 891,783
Denominators are 584,614
The GCF of 891,783 is 27 .
LCM of 584,614 is 179288.
The greatest common factor of 891/584,783/614 = [GCF of 891,783]/[LCM of 584,614]= 27/179288
Therefore, the GCF of 891/584,783/614 is 27/179288.
To find the highest common factor of 891,783, we have to find the factors of both numbers and list the highest common factor.
The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The HCF of 891,783 is 27.
Lets's calculate GCF of 891,783
| 3 | 891, 783 |
| 3 | 297, 261 |
| 3 | 99, 87 |
| 33, 29 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 891,783 By Matching Biggest Common Factor Method
Now, list down the factors of 891
:1,3,9,11,27,33,81,99,297,891
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 891,783 . The biggest common factor number is the GCF number.
So the greatest common factor 891,783 is 27.
Lets's calculate LCM of 584,614
| 2 | 584, 614 |
| 292, 307 |
∴ So the LCM of the given numbers is 2 x 292 x 307 = 179288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/179288
Therefore, the GCF of Fractions 891/584,783/614 is 27/179288
Least Common Multiple of 584,614 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 584,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(584,614) x common factors =2 x 1 = 2
LCM(584,614) = ( 584 × 614 ) / 2
LCM(584,614) = 358576 / 2
LCM(584,614) = 179288
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FAQs on GCF of Fractions of 891/584, 783/614
1. What is the HCF of 891,783?
The HCF of 891,783 is 27
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 891/584, 783/614?
Answer: GCF of Numerators as per given numbers 891/584, 783/614 is
GCF of Numerators i.e. for 891,783 is 27
LCM of denominators i.e. for 584,614 is 179288.
Thus, GCF of Fractions is 27/179288.Finally, GCF of Fractions for 891/584, 783/614 is 27/179288.