GCF of 2823/822, 6223/6981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2823/822, 6223/6981 i.e 1/1912794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2823/822, 6223/6981.
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 2823/822,6223/6981?
Given fractions are 2823/822,6223/6981
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 2823/822,6223/6981, numerators are 2823,6223
Denominators are 822,6981
The GCF of 2823,6223 is 1 .
LCM of 822,6981 is 1912794.
The greatest common factor of 2823/822,6223/6981 = [GCF of 2823,6223]/[LCM of 822,6981]= 1/1912794
Therefore, the GCF of 2823/822,6223/6981 is 1/1912794.
To find the highest common factor of 2823,6223, we have to find the factors of both numbers and list the highest common factor.
The factors of 2823 are 1, 3, 941, 2823
The factors of 6223 are 1, 7, 49, 127, 889, 6223
The HCF of 2823,6223 is 1.
Lets's calculate GCF of 2823,6223
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2823,6223 By Matching Biggest Common Factor Method
Now, list down the factors of 2823
:1,3,941,2823
Now, list down the factors of 6223
:1,7,49,127,889,6223
Greatest Common Factor
We found the factors 2823,6223 . The biggest common factor number is the GCF number.
So the greatest common factor 2823,6223 is 1.
Lets's calculate LCM of 822,6981
| 3 | 822, 6981 |
| 274, 2327 |
∴ So the LCM of the given numbers is 3 x 274 x 2327 = 1912794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1912794
Therefore, the GCF of Fractions 2823/822,6223/6981 is 1/1912794
Least Common Multiple of 822,6981 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 822,6981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,6981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(822,6981) x common factors =3 x 1 = 3
LCM(822,6981) = ( 822 × 6981 ) / 3
LCM(822,6981) = 5738382 / 3
LCM(822,6981) = 1912794
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FAQs on GCF of Fractions of 2823/822, 6223/6981
1. What is the HCF of 2823,6223?
The HCF of 2823,6223 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 2823/822, 6223/6981?
Answer: GCF of Numerators as per given numbers 2823/822, 6223/6981 is
GCF of Numerators i.e. for 2823,6223 is 1
LCM of denominators i.e. for 822,6981 is 1912794.
Thus, GCF of Fractions is 1/1912794.Finally, GCF of Fractions for 2823/822, 6223/6981 is 1/1912794.