GCF of 5992/375, 2856/1121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5992/375, 2856/1121 i.e 56/420375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5992/375, 2856/1121.
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 5992/375,2856/1121?
Given fractions are 5992/375,2856/1121
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 5992/375,2856/1121, numerators are 5992,2856
Denominators are 375,1121
The GCF of 5992,2856 is 56 .
LCM of 375,1121 is 420375.
The greatest common factor of 5992/375,2856/1121 = [GCF of 5992,2856]/[LCM of 375,1121]= 56/420375
Therefore, the GCF of 5992/375,2856/1121 is 56/420375.
To find the highest common factor of 5992,2856, we have to find the factors of both numbers and list the highest common factor.
The factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992
The factors of 2856 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856
The HCF of 5992,2856 is 56.
Lets's calculate GCF of 5992,2856
| 2 | 5992, 2856 |
| 2 | 2996, 1428 |
| 2 | 1498, 714 |
| 7 | 749, 357 |
| 107, 51 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 5992,2856 By Matching Biggest Common Factor Method
Now, list down the factors of 5992
:1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992
Now, list down the factors of 2856
:1,2,3,4,6,7,8,12,14,17,21,24,28,34,42,51,56,68,84,102,119,136,168,204,238,357,408,476,714,952,1428,2856
Greatest Common Factor
We found the factors 5992,2856 . The biggest common factor number is the GCF number.
So the greatest common factor 5992,2856 is 56.
Lets's calculate LCM of 375,1121
Given numbers has no common factors except 1. So, there LCM is their product i.e 420375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/420375
Therefore, the GCF of Fractions 5992/375,2856/1121 is 56/420375
Least Common Multiple of 375,1121 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 375,1121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,1121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(375,1121) x common factors =1 x 1 = 1
LCM(375,1121) = ( 375 × 1121 ) / 1
LCM(375,1121) = 420375 / 1
LCM(375,1121) = 420375
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FAQs on GCF of Fractions of 5992/375, 2856/1121
1. What is the HCF of 5992,2856?
The HCF of 5992,2856 is 56
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 5992/375, 2856/1121?
Answer: GCF of Numerators as per given numbers 5992/375, 2856/1121 is
GCF of Numerators i.e. for 5992,2856 is 56
LCM of denominators i.e. for 375,1121 is 420375.
Thus, GCF of Fractions is 56/420375.Finally, GCF of Fractions for 5992/375, 2856/1121 is 56/420375.