GCF of 5124/442, 5992/2678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5124/442, 5992/2678 i.e 28/45526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5124/442, 5992/2678.
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 5124/442,5992/2678?
Given fractions are 5124/442,5992/2678
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 5124/442,5992/2678, numerators are 5124,5992
Denominators are 442,2678
The GCF of 5124,5992 is 28 .
LCM of 442,2678 is 45526.
The greatest common factor of 5124/442,5992/2678 = [GCF of 5124,5992]/[LCM of 442,2678]= 28/45526
Therefore, the GCF of 5124/442,5992/2678 is 28/45526.
To find the highest common factor of 5124,5992, we have to find the factors of both numbers and list the highest common factor.
The factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124
The factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992
The HCF of 5124,5992 is 28.
Lets's calculate GCF of 5124,5992
| 2 | 5124, 5992 |
| 2 | 2562, 2996 |
| 7 | 1281, 1498 |
| 183, 214 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 5124,5992 By Matching Biggest Common Factor Method
Now, list down the factors of 5124
:1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124
Now, list down the factors of 5992
:1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992
Greatest Common Factor
We found the factors 5124,5992 . The biggest common factor number is the GCF number.
So the greatest common factor 5124,5992 is 28.
Lets's calculate LCM of 442,2678
| 2 | 442, 2678 |
| 13 | 221, 1339 |
| 17, 103 |
∴ So the LCM of the given numbers is 2 x 13 x 17 x 103 = 45526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/45526
Therefore, the GCF of Fractions 5124/442,5992/2678 is 28/45526
Least Common Multiple of 442,2678 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 442,2678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,2678) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(442,2678) x common factors =26 x 1 = 26
LCM(442,2678) = ( 442 × 2678 ) / 26
LCM(442,2678) = 1183676 / 26
LCM(442,2678) = 45526
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FAQs on GCF of Fractions of 5124/442, 5992/2678
1. What is the HCF of 5124,5992?
The HCF of 5124,5992 is 28
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 5124/442, 5992/2678?
Answer: GCF of Numerators as per given numbers 5124/442, 5992/2678 is
GCF of Numerators i.e. for 5124,5992 is 28
LCM of denominators i.e. for 442,2678 is 45526.
Thus, GCF of Fractions is 28/45526.Finally, GCF of Fractions for 5124/442, 5992/2678 is 28/45526.