GCF of 5802/274, 8218/7306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5802/274, 8218/7306 i.e 2/1000922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5802/274, 8218/7306.
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 5802/274,8218/7306?
Given fractions are 5802/274,8218/7306
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 5802/274,8218/7306, numerators are 5802,8218
Denominators are 274,7306
The GCF of 5802,8218 is 2 .
LCM of 274,7306 is 1000922.
The greatest common factor of 5802/274,8218/7306 = [GCF of 5802,8218]/[LCM of 274,7306]= 2/1000922
Therefore, the GCF of 5802/274,8218/7306 is 2/1000922.
To find the highest common factor of 5802,8218, we have to find the factors of both numbers and list the highest common factor.
The factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802
The factors of 8218 are 1, 2, 7, 14, 587, 1174, 4109, 8218
The HCF of 5802,8218 is 2.
Lets's calculate GCF of 5802,8218
| 2 | 5802, 8218 |
| 2901, 4109 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5802,8218 By Matching Biggest Common Factor Method
Now, list down the factors of 5802
:1,2,3,6,967,1934,2901,5802
Now, list down the factors of 8218
:1,2,7,14,587,1174,4109,8218
Greatest Common Factor
We found the factors 5802,8218 . The biggest common factor number is the GCF number.
So the greatest common factor 5802,8218 is 2.
Lets's calculate LCM of 274,7306
| 2 | 274, 7306 |
| 137, 3653 |
∴ So the LCM of the given numbers is 2 x 137 x 3653 = 1000922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1000922
Therefore, the GCF of Fractions 5802/274,8218/7306 is 2/1000922
Least Common Multiple of 274,7306 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 274,7306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,7306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,7306) x common factors =2 x 1 = 2
LCM(274,7306) = ( 274 × 7306 ) / 2
LCM(274,7306) = 2001844 / 2
LCM(274,7306) = 1000922
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FAQs on GCF of Fractions of 5802/274, 8218/7306
1. What is the HCF of 5802,8218?
The HCF of 5802,8218 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 5802/274, 8218/7306?
Answer: GCF of Numerators as per given numbers 5802/274, 8218/7306 is
GCF of Numerators i.e. for 5802,8218 is 2
LCM of denominators i.e. for 274,7306 is 1000922.
Thus, GCF of Fractions is 2/1000922.Finally, GCF of Fractions for 5802/274, 8218/7306 is 2/1000922.