GCF of 7842/182, 4546/2854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7842/182, 4546/2854 i.e 2/259714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7842/182, 4546/2854.
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 7842/182,4546/2854?
Given fractions are 7842/182,4546/2854
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 7842/182,4546/2854, numerators are 7842,4546
Denominators are 182,2854
The GCF of 7842,4546 is 2 .
LCM of 182,2854 is 259714.
The greatest common factor of 7842/182,4546/2854 = [GCF of 7842,4546]/[LCM of 182,2854]= 2/259714
Therefore, the GCF of 7842/182,4546/2854 is 2/259714.
To find the highest common factor of 7842,4546, we have to find the factors of both numbers and list the highest common factor.
The factors of 7842 are 1, 2, 3, 6, 1307, 2614, 3921, 7842
The factors of 4546 are 1, 2, 2273, 4546
The HCF of 7842,4546 is 2.
Lets's calculate GCF of 7842,4546
| 2 | 7842, 4546 |
| 3921, 2273 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7842,4546 By Matching Biggest Common Factor Method
Now, list down the factors of 7842
:1,2,3,6,1307,2614,3921,7842
Now, list down the factors of 4546
:1,2,2273,4546
Greatest Common Factor
We found the factors 7842,4546 . The biggest common factor number is the GCF number.
So the greatest common factor 7842,4546 is 2.
Lets's calculate LCM of 182,2854
| 2 | 182, 2854 |
| 91, 1427 |
∴ So the LCM of the given numbers is 2 x 91 x 1427 = 259714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/259714
Therefore, the GCF of Fractions 7842/182,4546/2854 is 2/259714
Least Common Multiple of 182,2854 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 182,2854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,2854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,2854) x common factors =2 x 1 = 2
LCM(182,2854) = ( 182 × 2854 ) / 2
LCM(182,2854) = 519428 / 2
LCM(182,2854) = 259714
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FAQs on GCF of Fractions of 7842/182, 4546/2854
1. What is the HCF of 7842,4546?
The HCF of 7842,4546 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 7842/182, 4546/2854?
Answer: GCF of Numerators as per given numbers 7842/182, 4546/2854 is
GCF of Numerators i.e. for 7842,4546 is 2
LCM of denominators i.e. for 182,2854 is 259714.
Thus, GCF of Fractions is 2/259714.Finally, GCF of Fractions for 7842/182, 4546/2854 is 2/259714.