GCF of 5082/827, 3810/3294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5082/827, 3810/3294 i.e 6/2724138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5082/827, 3810/3294.
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 5082/827,3810/3294?
Given fractions are 5082/827,3810/3294
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 5082/827,3810/3294, numerators are 5082,3810
Denominators are 827,3294
The GCF of 5082,3810 is 6 .
LCM of 827,3294 is 2724138.
The greatest common factor of 5082/827,3810/3294 = [GCF of 5082,3810]/[LCM of 827,3294]= 6/2724138
Therefore, the GCF of 5082/827,3810/3294 is 6/2724138.
To find the highest common factor of 5082,3810, we have to find the factors of both numbers and list the highest common factor.
The factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082
The factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810
The HCF of 5082,3810 is 6.
Lets's calculate GCF of 5082,3810
| 2 | 5082, 3810 |
| 3 | 2541, 1905 |
| 847, 635 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5082,3810 By Matching Biggest Common Factor Method
Now, list down the factors of 5082
:1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082
Now, list down the factors of 3810
:1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810
Greatest Common Factor
We found the factors 5082,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 5082,3810 is 6.
Lets's calculate LCM of 827,3294
Given numbers has no common factors except 1. So, there LCM is their product i.e 2724138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2724138
Therefore, the GCF of Fractions 5082/827,3810/3294 is 6/2724138
Least Common Multiple of 827,3294 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 827,3294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,3294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,3294) x common factors =1 x 1 = 1
LCM(827,3294) = ( 827 × 3294 ) / 1
LCM(827,3294) = 2724138 / 1
LCM(827,3294) = 2724138
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FAQs on GCF of Fractions of 5082/827, 3810/3294
1. What is the HCF of 5082,3810?
The HCF of 5082,3810 is 6
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 5082/827, 3810/3294?
Answer: GCF of Numerators as per given numbers 5082/827, 3810/3294 is
GCF of Numerators i.e. for 5082,3810 is 6
LCM of denominators i.e. for 827,3294 is 2724138.
Thus, GCF of Fractions is 6/2724138.Finally, GCF of Fractions for 5082/827, 3810/3294 is 6/2724138.