GCF of 5866/633, 6212/8453
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5866/633, 6212/8453 i.e 2/5350749 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5866/633, 6212/8453.
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 5866/633,6212/8453?
Given fractions are 5866/633,6212/8453
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 5866/633,6212/8453, numerators are 5866,6212
Denominators are 633,8453
The GCF of 5866,6212 is 2 .
LCM of 633,8453 is 5350749.
The greatest common factor of 5866/633,6212/8453 = [GCF of 5866,6212]/[LCM of 633,8453]= 2/5350749
Therefore, the GCF of 5866/633,6212/8453 is 2/5350749.
To find the highest common factor of 5866,6212, we have to find the factors of both numbers and list the highest common factor.
The factors of 5866 are 1, 2, 7, 14, 419, 838, 2933, 5866
The factors of 6212 are 1, 2, 4, 1553, 3106, 6212
The HCF of 5866,6212 is 2.
Lets's calculate GCF of 5866,6212
| 2 | 5866, 6212 |
| 2933, 3106 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5866,6212 By Matching Biggest Common Factor Method
Now, list down the factors of 5866
:1,2,7,14,419,838,2933,5866
Now, list down the factors of 6212
:1,2,4,1553,3106,6212
Greatest Common Factor
We found the factors 5866,6212 . The biggest common factor number is the GCF number.
So the greatest common factor 5866,6212 is 2.
Lets's calculate LCM of 633,8453
Given numbers has no common factors except 1. So, there LCM is their product i.e 5350749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5350749
Therefore, the GCF of Fractions 5866/633,6212/8453 is 2/5350749
Least Common Multiple of 633,8453 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 633,8453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,8453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(633,8453) x common factors =1 x 1 = 1
LCM(633,8453) = ( 633 × 8453 ) / 1
LCM(633,8453) = 5350749 / 1
LCM(633,8453) = 5350749
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FAQs on GCF of Fractions of 5866/633, 6212/8453
1. What is the HCF of 5866,6212?
The HCF of 5866,6212 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 5866/633, 6212/8453?
Answer: GCF of Numerators as per given numbers 5866/633, 6212/8453 is
GCF of Numerators i.e. for 5866,6212 is 2
LCM of denominators i.e. for 633,8453 is 5350749.
Thus, GCF of Fractions is 2/5350749.Finally, GCF of Fractions for 5866/633, 6212/8453 is 2/5350749.