GCF of 3843/324, 6078/1274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3843/324, 6078/1274 i.e 3/206388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3843/324, 6078/1274.
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 3843/324,6078/1274?
Given fractions are 3843/324,6078/1274
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 3843/324,6078/1274, numerators are 3843,6078
Denominators are 324,1274
The GCF of 3843,6078 is 3 .
LCM of 324,1274 is 206388.
The greatest common factor of 3843/324,6078/1274 = [GCF of 3843,6078]/[LCM of 324,1274]= 3/206388
Therefore, the GCF of 3843/324,6078/1274 is 3/206388.
To find the highest common factor of 3843,6078, we have to find the factors of both numbers and list the highest common factor.
The factors of 3843 are 1, 3, 7, 9, 21, 61, 63, 183, 427, 549, 1281, 3843
The factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078
The HCF of 3843,6078 is 3.
Lets's calculate GCF of 3843,6078
| 3 | 3843, 6078 |
| 1281, 2026 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3843,6078 By Matching Biggest Common Factor Method
Now, list down the factors of 3843
:1,3,7,9,21,61,63,183,427,549,1281,3843
Now, list down the factors of 6078
:1,2,3,6,1013,2026,3039,6078
Greatest Common Factor
We found the factors 3843,6078 . The biggest common factor number is the GCF number.
So the greatest common factor 3843,6078 is 3.
Lets's calculate LCM of 324,1274
| 2 | 324, 1274 |
| 162, 637 |
∴ So the LCM of the given numbers is 2 x 162 x 637 = 206388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/206388
Therefore, the GCF of Fractions 3843/324,6078/1274 is 3/206388
Least Common Multiple of 324,1274 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 324,1274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,1274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(324,1274) x common factors =2 x 1 = 2
LCM(324,1274) = ( 324 × 1274 ) / 2
LCM(324,1274) = 412776 / 2
LCM(324,1274) = 206388
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FAQs on GCF of Fractions of 3843/324, 6078/1274
1. What is the HCF of 3843,6078?
The HCF of 3843,6078 is 3
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 3843/324, 6078/1274?
Answer: GCF of Numerators as per given numbers 3843/324, 6078/1274 is
GCF of Numerators i.e. for 3843,6078 is 3
LCM of denominators i.e. for 324,1274 is 206388.
Thus, GCF of Fractions is 3/206388.Finally, GCF of Fractions for 3843/324, 6078/1274 is 3/206388.