GCF of 8210/506, 5160/595
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8210/506, 5160/595 i.e 10/301070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8210/506, 5160/595.
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 8210/506,5160/595?
Given fractions are 8210/506,5160/595
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 8210/506,5160/595, numerators are 8210,5160
Denominators are 506,595
The GCF of 8210,5160 is 10 .
LCM of 506,595 is 301070.
The greatest common factor of 8210/506,5160/595 = [GCF of 8210,5160]/[LCM of 506,595]= 10/301070
Therefore, the GCF of 8210/506,5160/595 is 10/301070.
To find the highest common factor of 8210,5160, we have to find the factors of both numbers and list the highest common factor.
The factors of 8210 are 1, 2, 5, 10, 821, 1642, 4105, 8210
The factors of 5160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160
The HCF of 8210,5160 is 10.
Lets's calculate GCF of 8210,5160
| 2 | 8210, 5160 |
| 5 | 4105, 2580 |
| 821, 516 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8210,5160 By Matching Biggest Common Factor Method
Now, list down the factors of 8210
:1,2,5,10,821,1642,4105,8210
Now, list down the factors of 5160
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160
Greatest Common Factor
We found the factors 8210,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 8210,5160 is 10.
Lets's calculate LCM of 506,595
Given numbers has no common factors except 1. So, there LCM is their product i.e 301070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/301070
Therefore, the GCF of Fractions 8210/506,5160/595 is 10/301070
Least Common Multiple of 506,595 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 506,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,595) x common factors =1 x 1 = 1
LCM(506,595) = ( 506 × 595 ) / 1
LCM(506,595) = 301070 / 1
LCM(506,595) = 301070
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FAQs on GCF of Fractions of 8210/506, 5160/595
1. What is the HCF of 8210,5160?
The HCF of 8210,5160 is 10
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 8210/506, 5160/595?
Answer: GCF of Numerators as per given numbers 8210/506, 5160/595 is
GCF of Numerators i.e. for 8210,5160 is 10
LCM of denominators i.e. for 506,595 is 301070.
Thus, GCF of Fractions is 10/301070.Finally, GCF of Fractions for 8210/506, 5160/595 is 10/301070.