GCF of 5658/460, 9028/172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5658/460, 9028/172 i.e 2/19780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5658/460, 9028/172.
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 5658/460,9028/172?
Given fractions are 5658/460,9028/172
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 5658/460,9028/172, numerators are 5658,9028
Denominators are 460,172
The GCF of 5658,9028 is 2 .
LCM of 460,172 is 19780.
The greatest common factor of 5658/460,9028/172 = [GCF of 5658,9028]/[LCM of 460,172]= 2/19780
Therefore, the GCF of 5658/460,9028/172 is 2/19780.
To find the highest common factor of 5658,9028, we have to find the factors of both numbers and list the highest common factor.
The factors of 5658 are 1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658
The factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028
The HCF of 5658,9028 is 2.
Lets's calculate GCF of 5658,9028
| 2 | 5658, 9028 |
| 2829, 4514 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5658,9028 By Matching Biggest Common Factor Method
Now, list down the factors of 5658
:1,2,3,6,23,41,46,69,82,123,138,246,943,1886,2829,5658
Now, list down the factors of 9028
:1,2,4,37,61,74,122,148,244,2257,4514,9028
Greatest Common Factor
We found the factors 5658,9028 . The biggest common factor number is the GCF number.
So the greatest common factor 5658,9028 is 2.
Lets's calculate LCM of 460,172
| 2 | 460, 172 |
| 2 | 230, 86 |
| 115, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 115 x 43 = 19780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19780
Therefore, the GCF of Fractions 5658/460,9028/172 is 2/19780
Least Common Multiple of 460,172 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 460,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,172) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(460,172) x common factors =4 x 1 = 4
LCM(460,172) = ( 460 × 172 ) / 4
LCM(460,172) = 79120 / 4
LCM(460,172) = 19780
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FAQs on GCF of Fractions of 5658/460, 9028/172
1. What is the HCF of 5658,9028?
The HCF of 5658,9028 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 5658/460, 9028/172?
Answer: GCF of Numerators as per given numbers 5658/460, 9028/172 is
GCF of Numerators i.e. for 5658,9028 is 2
LCM of denominators i.e. for 460,172 is 19780.
Thus, GCF of Fractions is 2/19780.Finally, GCF of Fractions for 5658/460, 9028/172 is 2/19780.