GCF of 2992/426, 7854/3864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2992/426, 7854/3864 i.e 374/274344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2992/426, 7854/3864.
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 2992/426,7854/3864?
Given fractions are 2992/426,7854/3864
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 2992/426,7854/3864, numerators are 2992,7854
Denominators are 426,3864
The GCF of 2992,7854 is 374 .
LCM of 426,3864 is 274344.
The greatest common factor of 2992/426,7854/3864 = [GCF of 2992,7854]/[LCM of 426,3864]= 374/274344
Therefore, the GCF of 2992/426,7854/3864 is 374/274344.
To find the highest common factor of 2992,7854, we have to find the factors of both numbers and list the highest common factor.
The factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992
The factors of 7854 are 1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 154, 187, 231, 238, 357, 374, 462, 561, 714, 1122, 1309, 2618, 3927, 7854
The HCF of 2992,7854 is 374.
Lets's calculate GCF of 2992,7854
| 2 | 2992, 7854 |
| 11 | 1496, 3927 |
| 17 | 136, 357 |
| 8, 21 |
∴ So the GCF of the given numbers is 2 x 11 x 17 = 374
Greatest Common Factor of 2992,7854 By Matching Biggest Common Factor Method
Now, list down the factors of 2992
:1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992
Now, list down the factors of 7854
:1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854
Greatest Common Factor
We found the factors 2992,7854 . The biggest common factor number is the GCF number.
So the greatest common factor 2992,7854 is 374.
Lets's calculate LCM of 426,3864
| 2 | 426, 3864 |
| 3 | 213, 1932 |
| 71, 644 |
∴ So the LCM of the given numbers is 2 x 3 x 71 x 644 = 274344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 374/274344
Therefore, the GCF of Fractions 2992/426,7854/3864 is 374/274344
Least Common Multiple of 426,3864 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 426,3864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,3864) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(426,3864) x common factors =6 x 1 = 6
LCM(426,3864) = ( 426 × 3864 ) / 6
LCM(426,3864) = 1646064 / 6
LCM(426,3864) = 274344
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FAQs on GCF of Fractions of 2992/426, 7854/3864
1. What is the HCF of 2992,7854?
The HCF of 2992,7854 is 374
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 2992/426, 7854/3864?
Answer: GCF of Numerators as per given numbers 2992/426, 7854/3864 is
GCF of Numerators i.e. for 2992,7854 is 374
LCM of denominators i.e. for 426,3864 is 274344.
Thus, GCF of Fractions is 374/274344.Finally, GCF of Fractions for 2992/426, 7854/3864 is 374/274344.