GCF of 7210/461, 5984/5145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7210/461, 5984/5145 i.e 2/2371845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7210/461, 5984/5145.
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 7210/461,5984/5145?
Given fractions are 7210/461,5984/5145
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 7210/461,5984/5145, numerators are 7210,5984
Denominators are 461,5145
The GCF of 7210,5984 is 2 .
LCM of 461,5145 is 2371845.
The greatest common factor of 7210/461,5984/5145 = [GCF of 7210,5984]/[LCM of 461,5145]= 2/2371845
Therefore, the GCF of 7210/461,5984/5145 is 2/2371845.
To find the highest common factor of 7210,5984, we have to find the factors of both numbers and list the highest common factor.
The factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210
The factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984
The HCF of 7210,5984 is 2.
Lets's calculate GCF of 7210,5984
| 2 | 7210, 5984 |
| 3605, 2992 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7210,5984 By Matching Biggest Common Factor Method
Now, list down the factors of 7210
:1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Now, list down the factors of 5984
:1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984
Greatest Common Factor
We found the factors 7210,5984 . The biggest common factor number is the GCF number.
So the greatest common factor 7210,5984 is 2.
Lets's calculate LCM of 461,5145
Given numbers has no common factors except 1. So, there LCM is their product i.e 2371845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2371845
Therefore, the GCF of Fractions 7210/461,5984/5145 is 2/2371845
Least Common Multiple of 461,5145 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 461,5145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,5145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,5145) x common factors =1 x 1 = 1
LCM(461,5145) = ( 461 × 5145 ) / 1
LCM(461,5145) = 2371845 / 1
LCM(461,5145) = 2371845
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FAQs on GCF of Fractions of 7210/461, 5984/5145
1. What is the HCF of 7210,5984?
The HCF of 7210,5984 is 2
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 7210/461, 5984/5145?
Answer: GCF of Numerators as per given numbers 7210/461, 5984/5145 is
GCF of Numerators i.e. for 7210,5984 is 2
LCM of denominators i.e. for 461,5145 is 2371845.
Thus, GCF of Fractions is 2/2371845.Finally, GCF of Fractions for 7210/461, 5984/5145 is 2/2371845.