GCF of 2366/521, 8376/6824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2366/521, 8376/6824 i.e 2/3555304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2366/521, 8376/6824.
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 2366/521,8376/6824?
Given fractions are 2366/521,8376/6824
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 2366/521,8376/6824, numerators are 2366,8376
Denominators are 521,6824
The GCF of 2366,8376 is 2 .
LCM of 521,6824 is 3555304.
The greatest common factor of 2366/521,8376/6824 = [GCF of 2366,8376]/[LCM of 521,6824]= 2/3555304
Therefore, the GCF of 2366/521,8376/6824 is 2/3555304.
To find the highest common factor of 2366,8376, we have to find the factors of both numbers and list the highest common factor.
The factors of 2366 are 1, 2, 7, 13, 14, 26, 91, 169, 182, 338, 1183, 2366
The factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376
The HCF of 2366,8376 is 2.
Lets's calculate GCF of 2366,8376
| 2 | 2366, 8376 |
| 1183, 4188 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2366,8376 By Matching Biggest Common Factor Method
Now, list down the factors of 2366
:1,2,7,13,14,26,91,169,182,338,1183,2366
Now, list down the factors of 8376
:1,2,3,4,6,8,12,24,349,698,1047,1396,2094,2792,4188,8376
Greatest Common Factor
We found the factors 2366,8376 . The biggest common factor number is the GCF number.
So the greatest common factor 2366,8376 is 2.
Lets's calculate LCM of 521,6824
Given numbers has no common factors except 1. So, there LCM is their product i.e 3555304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3555304
Therefore, the GCF of Fractions 2366/521,8376/6824 is 2/3555304
Least Common Multiple of 521,6824 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 521,6824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,6824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,6824) x common factors =1 x 1 = 1
LCM(521,6824) = ( 521 × 6824 ) / 1
LCM(521,6824) = 3555304 / 1
LCM(521,6824) = 3555304
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FAQs on GCF of Fractions of 2366/521, 8376/6824
1. What is the HCF of 2366,8376?
The HCF of 2366,8376 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 2366/521, 8376/6824?
Answer: GCF of Numerators as per given numbers 2366/521, 8376/6824 is
GCF of Numerators i.e. for 2366,8376 is 2
LCM of denominators i.e. for 521,6824 is 3555304.
Thus, GCF of Fractions is 2/3555304.Finally, GCF of Fractions for 2366/521, 8376/6824 is 2/3555304.