GCF of 4204/892, 5032/4410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4204/892, 5032/4410 i.e 4/1966860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4204/892, 5032/4410.
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 4204/892,5032/4410?
Given fractions are 4204/892,5032/4410
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 4204/892,5032/4410, numerators are 4204,5032
Denominators are 892,4410
The GCF of 4204,5032 is 4 .
LCM of 892,4410 is 1966860.
The greatest common factor of 4204/892,5032/4410 = [GCF of 4204,5032]/[LCM of 892,4410]= 4/1966860
Therefore, the GCF of 4204/892,5032/4410 is 4/1966860.
To find the highest common factor of 4204,5032, we have to find the factors of both numbers and list the highest common factor.
The factors of 4204 are 1, 2, 4, 1051, 2102, 4204
The factors of 5032 are 1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516, 5032
The HCF of 4204,5032 is 4.
Lets's calculate GCF of 4204,5032
| 2 | 4204, 5032 |
| 2 | 2102, 2516 |
| 1051, 1258 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4204,5032 By Matching Biggest Common Factor Method
Now, list down the factors of 4204
:1,2,4,1051,2102,4204
Now, list down the factors of 5032
:1,2,4,8,17,34,37,68,74,136,148,296,629,1258,2516,5032
Greatest Common Factor
We found the factors 4204,5032 . The biggest common factor number is the GCF number.
So the greatest common factor 4204,5032 is 4.
Lets's calculate LCM of 892,4410
| 2 | 892, 4410 |
| 446, 2205 |
∴ So the LCM of the given numbers is 2 x 446 x 2205 = 1966860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1966860
Therefore, the GCF of Fractions 4204/892,5032/4410 is 4/1966860
Least Common Multiple of 892,4410 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 892,4410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,4410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,4410) x common factors =2 x 1 = 2
LCM(892,4410) = ( 892 × 4410 ) / 2
LCM(892,4410) = 3933720 / 2
LCM(892,4410) = 1966860
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FAQs on GCF of Fractions of 4204/892, 5032/4410
1. What is the HCF of 4204,5032?
The HCF of 4204,5032 is 4
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 4204/892, 5032/4410?
Answer: GCF of Numerators as per given numbers 4204/892, 5032/4410 is
GCF of Numerators i.e. for 4204,5032 is 4
LCM of denominators i.e. for 892,4410 is 1966860.
Thus, GCF of Fractions is 4/1966860.Finally, GCF of Fractions for 4204/892, 5032/4410 is 4/1966860.