GCF of 4221/829, 3486/905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4221/829, 3486/905 i.e 21/750245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4221/829, 3486/905.
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 4221/829,3486/905?
Given fractions are 4221/829,3486/905
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 4221/829,3486/905, numerators are 4221,3486
Denominators are 829,905
The GCF of 4221,3486 is 21 .
LCM of 829,905 is 750245.
The greatest common factor of 4221/829,3486/905 = [GCF of 4221,3486]/[LCM of 829,905]= 21/750245
Therefore, the GCF of 4221/829,3486/905 is 21/750245.
To find the highest common factor of 4221,3486, we have to find the factors of both numbers and list the highest common factor.
The factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221
The factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486
The HCF of 4221,3486 is 21.
Lets's calculate GCF of 4221,3486
| 3 | 4221, 3486 |
| 7 | 1407, 1162 |
| 201, 166 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 4221,3486 By Matching Biggest Common Factor Method
Now, list down the factors of 4221
:1,3,7,9,21,63,67,201,469,603,1407,4221
Now, list down the factors of 3486
:1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486
Greatest Common Factor
We found the factors 4221,3486 . The biggest common factor number is the GCF number.
So the greatest common factor 4221,3486 is 21.
Lets's calculate LCM of 829,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 750245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/750245
Therefore, the GCF of Fractions 4221/829,3486/905 is 21/750245
Least Common Multiple of 829,905 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 829,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,905) x common factors =1 x 1 = 1
LCM(829,905) = ( 829 × 905 ) / 1
LCM(829,905) = 750245 / 1
LCM(829,905) = 750245
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FAQs on GCF of Fractions of 4221/829, 3486/905
1. What is the HCF of 4221,3486?
The HCF of 4221,3486 is 21
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 4221/829, 3486/905?
Answer: GCF of Numerators as per given numbers 4221/829, 3486/905 is
GCF of Numerators i.e. for 4221,3486 is 21
LCM of denominators i.e. for 829,905 is 750245.
Thus, GCF of Fractions is 21/750245.Finally, GCF of Fractions for 4221/829, 3486/905 is 21/750245.