GCF of 1822/489, 9812/4769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1822/489, 9812/4769 i.e 2/2332041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1822/489, 9812/4769.
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 1822/489,9812/4769?
Given fractions are 1822/489,9812/4769
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 1822/489,9812/4769, numerators are 1822,9812
Denominators are 489,4769
The GCF of 1822,9812 is 2 .
LCM of 489,4769 is 2332041.
The greatest common factor of 1822/489,9812/4769 = [GCF of 1822,9812]/[LCM of 489,4769]= 2/2332041
Therefore, the GCF of 1822/489,9812/4769 is 2/2332041.
To find the highest common factor of 1822,9812, we have to find the factors of both numbers and list the highest common factor.
The factors of 1822 are 1, 2, 911, 1822
The factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812
The HCF of 1822,9812 is 2.
Lets's calculate GCF of 1822,9812
| 2 | 1822, 9812 |
| 911, 4906 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1822,9812 By Matching Biggest Common Factor Method
Now, list down the factors of 1822
:1,2,911,1822
Now, list down the factors of 9812
:1,2,4,11,22,44,223,446,892,2453,4906,9812
Greatest Common Factor
We found the factors 1822,9812 . The biggest common factor number is the GCF number.
So the greatest common factor 1822,9812 is 2.
Lets's calculate LCM of 489,4769
Given numbers has no common factors except 1. So, there LCM is their product i.e 2332041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2332041
Therefore, the GCF of Fractions 1822/489,9812/4769 is 2/2332041
Least Common Multiple of 489,4769 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 489,4769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,4769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,4769) x common factors =1 x 1 = 1
LCM(489,4769) = ( 489 × 4769 ) / 1
LCM(489,4769) = 2332041 / 1
LCM(489,4769) = 2332041
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FAQs on GCF of Fractions of 1822/489, 9812/4769
1. What is the HCF of 1822,9812?
The HCF of 1822,9812 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 1822/489, 9812/4769?
Answer: GCF of Numerators as per given numbers 1822/489, 9812/4769 is
GCF of Numerators i.e. for 1822,9812 is 2
LCM of denominators i.e. for 489,4769 is 2332041.
Thus, GCF of Fractions is 2/2332041.Finally, GCF of Fractions for 1822/489, 9812/4769 is 2/2332041.