GCF of 812/644, 8546/5548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 812/644, 8546/5548 i.e 2/893228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/644, 8546/5548.
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 812/644,8546/5548?
Given fractions are 812/644,8546/5548
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 812/644,8546/5548, numerators are 812,8546
Denominators are 644,5548
The GCF of 812,8546 is 2 .
LCM of 644,5548 is 893228.
The greatest common factor of 812/644,8546/5548 = [GCF of 812,8546]/[LCM of 644,5548]= 2/893228
Therefore, the GCF of 812/644,8546/5548 is 2/893228.
To find the highest common factor of 812,8546, we have to find the factors of both numbers and list the highest common factor.
The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The factors of 8546 are 1, 2, 4273, 8546
The HCF of 812,8546 is 2.
Lets's calculate GCF of 812,8546
| 2 | 812, 8546 |
| 406, 4273 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 812,8546 By Matching Biggest Common Factor Method
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Now, list down the factors of 8546
:1,2,4273,8546
Greatest Common Factor
We found the factors 812,8546 . The biggest common factor number is the GCF number.
So the greatest common factor 812,8546 is 2.
Lets's calculate LCM of 644,5548
| 2 | 644, 5548 |
| 2 | 322, 2774 |
| 161, 1387 |
∴ So the LCM of the given numbers is 2 x 2 x 161 x 1387 = 893228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/893228
Therefore, the GCF of Fractions 812/644,8546/5548 is 2/893228
Least Common Multiple of 644,5548 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 644,5548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,5548) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(644,5548) x common factors =4 x 1 = 4
LCM(644,5548) = ( 644 × 5548 ) / 4
LCM(644,5548) = 3572912 / 4
LCM(644,5548) = 893228
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FAQs on GCF of Fractions of 812/644, 8546/5548
1. What is the HCF of 812,8546?
The HCF of 812,8546 is 2
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 812/644, 8546/5548?
Answer: GCF of Numerators as per given numbers 812/644, 8546/5548 is
GCF of Numerators i.e. for 812,8546 is 2
LCM of denominators i.e. for 644,5548 is 893228.
Thus, GCF of Fractions is 2/893228.Finally, GCF of Fractions for 812/644, 8546/5548 is 2/893228.