GCF of 4022/129, 7866/1983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4022/129, 7866/1983 i.e 2/85269 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4022/129, 7866/1983.
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 4022/129,7866/1983?
Given fractions are 4022/129,7866/1983
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 4022/129,7866/1983, numerators are 4022,7866
Denominators are 129,1983
The GCF of 4022,7866 is 2 .
LCM of 129,1983 is 85269.
The greatest common factor of 4022/129,7866/1983 = [GCF of 4022,7866]/[LCM of 129,1983]= 2/85269
Therefore, the GCF of 4022/129,7866/1983 is 2/85269.
To find the highest common factor of 4022,7866, we have to find the factors of both numbers and list the highest common factor.
The factors of 4022 are 1, 2, 2011, 4022
The factors of 7866 are 1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866
The HCF of 4022,7866 is 2.
Lets's calculate GCF of 4022,7866
| 2 | 4022, 7866 |
| 2011, 3933 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4022,7866 By Matching Biggest Common Factor Method
Now, list down the factors of 4022
:1,2,2011,4022
Now, list down the factors of 7866
:1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866
Greatest Common Factor
We found the factors 4022,7866 . The biggest common factor number is the GCF number.
So the greatest common factor 4022,7866 is 2.
Lets's calculate LCM of 129,1983
| 3 | 129, 1983 |
| 43, 661 |
∴ So the LCM of the given numbers is 3 x 43 x 661 = 85269
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85269
Therefore, the GCF of Fractions 4022/129,7866/1983 is 2/85269
Least Common Multiple of 129,1983 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 129,1983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,1983) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(129,1983) x common factors =3 x 1 = 3
LCM(129,1983) = ( 129 × 1983 ) / 3
LCM(129,1983) = 255807 / 3
LCM(129,1983) = 85269
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FAQs on GCF of Fractions of 4022/129, 7866/1983
1. What is the HCF of 4022,7866?
The HCF of 4022,7866 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 4022/129, 7866/1983?
Answer: GCF of Numerators as per given numbers 4022/129, 7866/1983 is
GCF of Numerators i.e. for 4022,7866 is 2
LCM of denominators i.e. for 129,1983 is 85269.
Thus, GCF of Fractions is 2/85269.Finally, GCF of Fractions for 4022/129, 7866/1983 is 2/85269.