GCF of 2136/822, 6206/5764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2136/822, 6206/5764 i.e 2/2369004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2136/822, 6206/5764.
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 2136/822,6206/5764?
Given fractions are 2136/822,6206/5764
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 2136/822,6206/5764, numerators are 2136,6206
Denominators are 822,5764
The GCF of 2136,6206 is 2 .
LCM of 822,5764 is 2369004.
The greatest common factor of 2136/822,6206/5764 = [GCF of 2136,6206]/[LCM of 822,5764]= 2/2369004
Therefore, the GCF of 2136/822,6206/5764 is 2/2369004.
To find the highest common factor of 2136,6206, we have to find the factors of both numbers and list the highest common factor.
The factors of 2136 are 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068, 2136
The factors of 6206 are 1, 2, 29, 58, 107, 214, 3103, 6206
The HCF of 2136,6206 is 2.
Lets's calculate GCF of 2136,6206
| 2 | 2136, 6206 |
| 1068, 3103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2136,6206 By Matching Biggest Common Factor Method
Now, list down the factors of 2136
:1,2,3,4,6,8,12,24,89,178,267,356,534,712,1068,2136
Now, list down the factors of 6206
:1,2,29,58,107,214,3103,6206
Greatest Common Factor
We found the factors 2136,6206 . The biggest common factor number is the GCF number.
So the greatest common factor 2136,6206 is 2.
Lets's calculate LCM of 822,5764
| 2 | 822, 5764 |
| 411, 2882 |
∴ So the LCM of the given numbers is 2 x 411 x 2882 = 2369004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2369004
Therefore, the GCF of Fractions 2136/822,6206/5764 is 2/2369004
Least Common Multiple of 822,5764 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 822,5764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,5764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,5764) x common factors =2 x 1 = 2
LCM(822,5764) = ( 822 × 5764 ) / 2
LCM(822,5764) = 4738008 / 2
LCM(822,5764) = 2369004
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FAQs on GCF of Fractions of 2136/822, 6206/5764
1. What is the HCF of 2136,6206?
The HCF of 2136,6206 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 2136/822, 6206/5764?
Answer: GCF of Numerators as per given numbers 2136/822, 6206/5764 is
GCF of Numerators i.e. for 2136,6206 is 2
LCM of denominators i.e. for 822,5764 is 2369004.
Thus, GCF of Fractions is 2/2369004.Finally, GCF of Fractions for 2136/822, 6206/5764 is 2/2369004.