GCF of 4206/390, 9176/585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4206/390, 9176/585 i.e 2/1170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4206/390, 9176/585.
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 4206/390,9176/585?
Given fractions are 4206/390,9176/585
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 4206/390,9176/585, numerators are 4206,9176
Denominators are 390,585
The GCF of 4206,9176 is 2 .
LCM of 390,585 is 1170.
The greatest common factor of 4206/390,9176/585 = [GCF of 4206,9176]/[LCM of 390,585]= 2/1170
Therefore, the GCF of 4206/390,9176/585 is 2/1170.
To find the highest common factor of 4206,9176, we have to find the factors of both numbers and list the highest common factor.
The factors of 4206 are 1, 2, 3, 6, 701, 1402, 2103, 4206
The factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176
The HCF of 4206,9176 is 2.
Lets's calculate GCF of 4206,9176
| 2 | 4206, 9176 |
| 2103, 4588 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4206,9176 By Matching Biggest Common Factor Method
Now, list down the factors of 4206
:1,2,3,6,701,1402,2103,4206
Now, list down the factors of 9176
:1,2,4,8,31,37,62,74,124,148,248,296,1147,2294,4588,9176
Greatest Common Factor
We found the factors 4206,9176 . The biggest common factor number is the GCF number.
So the greatest common factor 4206,9176 is 2.
Lets's calculate LCM of 390,585
| 3 | 390, 585 |
| 5 | 130, 195 |
| 13 | 26, 39 |
| 2, 3 |
∴ So the LCM of the given numbers is 3 x 5 x 13 x 2 x 3 = 1170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1170
Therefore, the GCF of Fractions 4206/390,9176/585 is 2/1170
Least Common Multiple of 390,585 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 390,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,585) = 195
common factors(in case of two or more numbers have common factors) = 1
GCF(390,585) x common factors =195 x 1 = 195
LCM(390,585) = ( 390 × 585 ) / 195
LCM(390,585) = 228150 / 195
LCM(390,585) = 1170
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FAQs on GCF of Fractions of 4206/390, 9176/585
1. What is the HCF of 4206,9176?
The HCF of 4206,9176 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 4206/390, 9176/585?
Answer: GCF of Numerators as per given numbers 4206/390, 9176/585 is
GCF of Numerators i.e. for 4206,9176 is 2
LCM of denominators i.e. for 390,585 is 1170.
Thus, GCF of Fractions is 2/1170.Finally, GCF of Fractions for 4206/390, 9176/585 is 2/1170.