GCF of 4182/376, 1542/3758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4182/376, 1542/3758 i.e 6/706504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4182/376, 1542/3758.
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 4182/376,1542/3758?
Given fractions are 4182/376,1542/3758
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 4182/376,1542/3758, numerators are 4182,1542
Denominators are 376,3758
The GCF of 4182,1542 is 6 .
LCM of 376,3758 is 706504.
The greatest common factor of 4182/376,1542/3758 = [GCF of 4182,1542]/[LCM of 376,3758]= 6/706504
Therefore, the GCF of 4182/376,1542/3758 is 6/706504.
To find the highest common factor of 4182,1542, we have to find the factors of both numbers and list the highest common factor.
The factors of 4182 are 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182
The factors of 1542 are 1, 2, 3, 6, 257, 514, 771, 1542
The HCF of 4182,1542 is 6.
Lets's calculate GCF of 4182,1542
| 2 | 4182, 1542 |
| 3 | 2091, 771 |
| 697, 257 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4182,1542 By Matching Biggest Common Factor Method
Now, list down the factors of 4182
:1,2,3,6,17,34,41,51,82,102,123,246,697,1394,2091,4182
Now, list down the factors of 1542
:1,2,3,6,257,514,771,1542
Greatest Common Factor
We found the factors 4182,1542 . The biggest common factor number is the GCF number.
So the greatest common factor 4182,1542 is 6.
Lets's calculate LCM of 376,3758
| 2 | 376, 3758 |
| 188, 1879 |
∴ So the LCM of the given numbers is 2 x 188 x 1879 = 706504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/706504
Therefore, the GCF of Fractions 4182/376,1542/3758 is 6/706504
Least Common Multiple of 376,3758 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 376,3758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,3758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,3758) x common factors =2 x 1 = 2
LCM(376,3758) = ( 376 × 3758 ) / 2
LCM(376,3758) = 1413008 / 2
LCM(376,3758) = 706504
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FAQs on GCF of Fractions of 4182/376, 1542/3758
1. What is the HCF of 4182,1542?
The HCF of 4182,1542 is 6
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 4182/376, 1542/3758?
Answer: GCF of Numerators as per given numbers 4182/376, 1542/3758 is
GCF of Numerators i.e. for 4182,1542 is 6
LCM of denominators i.e. for 376,3758 is 706504.
Thus, GCF of Fractions is 6/706504.Finally, GCF of Fractions for 4182/376, 1542/3758 is 6/706504.