GCF of 2566/849, 3724/843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2566/849, 3724/843 i.e 2/238569 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2566/849, 3724/843.
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 2566/849,3724/843?
Given fractions are 2566/849,3724/843
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 2566/849,3724/843, numerators are 2566,3724
Denominators are 849,843
The GCF of 2566,3724 is 2 .
LCM of 849,843 is 238569.
The greatest common factor of 2566/849,3724/843 = [GCF of 2566,3724]/[LCM of 849,843]= 2/238569
Therefore, the GCF of 2566/849,3724/843 is 2/238569.
To find the highest common factor of 2566,3724, we have to find the factors of both numbers and list the highest common factor.
The factors of 2566 are 1, 2, 1283, 2566
The factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724
The HCF of 2566,3724 is 2.
Lets's calculate GCF of 2566,3724
| 2 | 2566, 3724 |
| 1283, 1862 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2566,3724 By Matching Biggest Common Factor Method
Now, list down the factors of 2566
:1,2,1283,2566
Now, list down the factors of 3724
:1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724
Greatest Common Factor
We found the factors 2566,3724 . The biggest common factor number is the GCF number.
So the greatest common factor 2566,3724 is 2.
Lets's calculate LCM of 849,843
| 3 | 849, 843 |
| 283, 281 |
∴ So the LCM of the given numbers is 3 x 283 x 281 = 238569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/238569
Therefore, the GCF of Fractions 2566/849,3724/843 is 2/238569
Least Common Multiple of 849,843 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 849,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,843) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,843) x common factors =3 x 1 = 3
LCM(849,843) = ( 849 × 843 ) / 3
LCM(849,843) = 715707 / 3
LCM(849,843) = 238569
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FAQs on GCF of Fractions of 2566/849, 3724/843
1. What is the HCF of 2566,3724?
The HCF of 2566,3724 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 2566/849, 3724/843?
Answer: GCF of Numerators as per given numbers 2566/849, 3724/843 is
GCF of Numerators i.e. for 2566,3724 is 2
LCM of denominators i.e. for 849,843 is 238569.
Thus, GCF of Fractions is 2/238569.Finally, GCF of Fractions for 2566/849, 3724/843 is 2/238569.