GCF of 5124/601, 7028/5159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5124/601, 7028/5159 i.e 28/3100559 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5124/601, 7028/5159.
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 5124/601,7028/5159?
Given fractions are 5124/601,7028/5159
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 5124/601,7028/5159, numerators are 5124,7028
Denominators are 601,5159
The GCF of 5124,7028 is 28 .
LCM of 601,5159 is 3100559.
The greatest common factor of 5124/601,7028/5159 = [GCF of 5124,7028]/[LCM of 601,5159]= 28/3100559
Therefore, the GCF of 5124/601,7028/5159 is 28/3100559.
To find the highest common factor of 5124,7028, 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 7028 are 1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028
The HCF of 5124,7028 is 28.
Lets's calculate GCF of 5124,7028
| 2 | 5124, 7028 |
| 2 | 2562, 3514 |
| 7 | 1281, 1757 |
| 183, 251 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 5124,7028 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 7028
:1,2,4,7,14,28,251,502,1004,1757,3514,7028
Greatest Common Factor
We found the factors 5124,7028 . The biggest common factor number is the GCF number.
So the greatest common factor 5124,7028 is 28.
Lets's calculate LCM of 601,5159
Given numbers has no common factors except 1. So, there LCM is their product i.e 3100559
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/3100559
Therefore, the GCF of Fractions 5124/601,7028/5159 is 28/3100559
Least Common Multiple of 601,5159 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 601,5159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,5159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,5159) x common factors =1 x 1 = 1
LCM(601,5159) = ( 601 × 5159 ) / 1
LCM(601,5159) = 3100559 / 1
LCM(601,5159) = 3100559
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FAQs on GCF of Fractions of 5124/601, 7028/5159
1. What is the HCF of 5124,7028?
The HCF of 5124,7028 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 5124/601, 7028/5159?
Answer: GCF of Numerators as per given numbers 5124/601, 7028/5159 is
GCF of Numerators i.e. for 5124,7028 is 28
LCM of denominators i.e. for 601,5159 is 3100559.
Thus, GCF of Fractions is 28/3100559.Finally, GCF of Fractions for 5124/601, 7028/5159 is 28/3100559.