GCF of 5421/873, 5643/946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5421/873, 5643/946 i.e 3/825858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5421/873, 5643/946.
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 5421/873,5643/946?
Given fractions are 5421/873,5643/946
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 5421/873,5643/946, numerators are 5421,5643
Denominators are 873,946
The GCF of 5421,5643 is 3 .
LCM of 873,946 is 825858.
The greatest common factor of 5421/873,5643/946 = [GCF of 5421,5643]/[LCM of 873,946]= 3/825858
Therefore, the GCF of 5421/873,5643/946 is 3/825858.
To find the highest common factor of 5421,5643, we have to find the factors of both numbers and list the highest common factor.
The factors of 5421 are 1, 3, 13, 39, 139, 417, 1807, 5421
The factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643
The HCF of 5421,5643 is 3.
Lets's calculate GCF of 5421,5643
| 3 | 5421, 5643 |
| 1807, 1881 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5421,5643 By Matching Biggest Common Factor Method
Now, list down the factors of 5421
:1,3,13,39,139,417,1807,5421
Now, list down the factors of 5643
:1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643
Greatest Common Factor
We found the factors 5421,5643 . The biggest common factor number is the GCF number.
So the greatest common factor 5421,5643 is 3.
Lets's calculate LCM of 873,946
Given numbers has no common factors except 1. So, there LCM is their product i.e 825858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/825858
Therefore, the GCF of Fractions 5421/873,5643/946 is 3/825858
Least Common Multiple of 873,946 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 873,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,946) x common factors =1 x 1 = 1
LCM(873,946) = ( 873 × 946 ) / 1
LCM(873,946) = 825858 / 1
LCM(873,946) = 825858
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FAQs on GCF of Fractions of 5421/873, 5643/946
1. What is the HCF of 5421,5643?
The HCF of 5421,5643 is 3
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 5421/873, 5643/946?
Answer: GCF of Numerators as per given numbers 5421/873, 5643/946 is
GCF of Numerators i.e. for 5421,5643 is 3
LCM of denominators i.e. for 873,946 is 825858.
Thus, GCF of Fractions is 3/825858.Finally, GCF of Fractions for 5421/873, 5643/946 is 3/825858.