GCF of 2142/876, 4008/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2142/876, 4008/819 i.e 6/239148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2142/876, 4008/819.
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 2142/876,4008/819?
Given fractions are 2142/876,4008/819
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 2142/876,4008/819, numerators are 2142,4008
Denominators are 876,819
The GCF of 2142,4008 is 6 .
LCM of 876,819 is 239148.
The greatest common factor of 2142/876,4008/819 = [GCF of 2142,4008]/[LCM of 876,819]= 6/239148
Therefore, the GCF of 2142/876,4008/819 is 6/239148.
To find the highest common factor of 2142,4008, we have to find the factors of both numbers and list the highest common factor.
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The factors of 4008 are 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008
The HCF of 2142,4008 is 6.
Lets's calculate GCF of 2142,4008
| 2 | 2142, 4008 |
| 3 | 1071, 2004 |
| 357, 668 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2142,4008 By Matching Biggest Common Factor Method
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Now, list down the factors of 4008
:1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008
Greatest Common Factor
We found the factors 2142,4008 . The biggest common factor number is the GCF number.
So the greatest common factor 2142,4008 is 6.
Lets's calculate LCM of 876,819
| 3 | 876, 819 |
| 292, 273 |
∴ So the LCM of the given numbers is 3 x 292 x 273 = 239148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/239148
Therefore, the GCF of Fractions 2142/876,4008/819 is 6/239148
Least Common Multiple of 876,819 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 876,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,819) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(876,819) x common factors =3 x 1 = 3
LCM(876,819) = ( 876 × 819 ) / 3
LCM(876,819) = 717444 / 3
LCM(876,819) = 239148
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FAQs on GCF of Fractions of 2142/876, 4008/819
1. What is the HCF of 2142,4008?
The HCF of 2142,4008 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 2142/876, 4008/819?
Answer: GCF of Numerators as per given numbers 2142/876, 4008/819 is
GCF of Numerators i.e. for 2142,4008 is 6
LCM of denominators i.e. for 876,819 is 239148.
Thus, GCF of Fractions is 6/239148.Finally, GCF of Fractions for 2142/876, 4008/819 is 6/239148.