GCF of 6213/226, 6812/1982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6213/226, 6812/1982 i.e 1/223966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6213/226, 6812/1982.
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 6213/226,6812/1982?
Given fractions are 6213/226,6812/1982
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 6213/226,6812/1982, numerators are 6213,6812
Denominators are 226,1982
The GCF of 6213,6812 is 1 .
LCM of 226,1982 is 223966.
The greatest common factor of 6213/226,6812/1982 = [GCF of 6213,6812]/[LCM of 226,1982]= 1/223966
Therefore, the GCF of 6213/226,6812/1982 is 1/223966.
To find the highest common factor of 6213,6812, we have to find the factors of both numbers and list the highest common factor.
The factors of 6213 are 1, 3, 19, 57, 109, 327, 2071, 6213
The factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812
The HCF of 6213,6812 is 1.
Lets's calculate GCF of 6213,6812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6213,6812 By Matching Biggest Common Factor Method
Now, list down the factors of 6213
:1,3,19,57,109,327,2071,6213
Now, list down the factors of 6812
:1,2,4,13,26,52,131,262,524,1703,3406,6812
Greatest Common Factor
We found the factors 6213,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 6213,6812 is 1.
Lets's calculate LCM of 226,1982
| 2 | 226, 1982 |
| 113, 991 |
∴ So the LCM of the given numbers is 2 x 113 x 991 = 223966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223966
Therefore, the GCF of Fractions 6213/226,6812/1982 is 1/223966
Least Common Multiple of 226,1982 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 226,1982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,1982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,1982) x common factors =2 x 1 = 2
LCM(226,1982) = ( 226 × 1982 ) / 2
LCM(226,1982) = 447932 / 2
LCM(226,1982) = 223966
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FAQs on GCF of Fractions of 6213/226, 6812/1982
1. What is the HCF of 6213,6812?
The HCF of 6213,6812 is 1
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 6213/226, 6812/1982?
Answer: GCF of Numerators as per given numbers 6213/226, 6812/1982 is
GCF of Numerators i.e. for 6213,6812 is 1
LCM of denominators i.e. for 226,1982 is 223966.
Thus, GCF of Fractions is 1/223966.Finally, GCF of Fractions for 6213/226, 6812/1982 is 1/223966.