GCF of 9486/825, 7415/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9486/825, 7415/209 i.e 1/15675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9486/825, 7415/209.
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 9486/825,7415/209?
Given fractions are 9486/825,7415/209
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 9486/825,7415/209, numerators are 9486,7415
Denominators are 825,209
The GCF of 9486,7415 is 1 .
LCM of 825,209 is 15675.
The greatest common factor of 9486/825,7415/209 = [GCF of 9486,7415]/[LCM of 825,209]= 1/15675
Therefore, the GCF of 9486/825,7415/209 is 1/15675.
To find the highest common factor of 9486,7415, we have to find the factors of both numbers and list the highest common factor.
The factors of 9486 are 1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743, 9486
The factors of 7415 are 1, 5, 1483, 7415
The HCF of 9486,7415 is 1.
Lets's calculate GCF of 9486,7415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9486,7415 By Matching Biggest Common Factor Method
Now, list down the factors of 9486
:1,2,3,6,9,17,18,31,34,51,62,93,102,153,186,279,306,527,558,1054,1581,3162,4743,9486
Now, list down the factors of 7415
:1,5,1483,7415
Greatest Common Factor
We found the factors 9486,7415 . The biggest common factor number is the GCF number.
So the greatest common factor 9486,7415 is 1.
Lets's calculate LCM of 825,209
| 11 | 825, 209 |
| 75, 19 |
∴ So the LCM of the given numbers is 11 x 75 x 19 = 15675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15675
Therefore, the GCF of Fractions 9486/825,7415/209 is 1/15675
Least Common Multiple of 825,209 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 825,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,209) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(825,209) x common factors =11 x 1 = 11
LCM(825,209) = ( 825 × 209 ) / 11
LCM(825,209) = 172425 / 11
LCM(825,209) = 15675
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FAQs on GCF of Fractions of 9486/825, 7415/209
1. What is the HCF of 9486,7415?
The HCF of 9486,7415 is 1
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 9486/825, 7415/209?
Answer: GCF of Numerators as per given numbers 9486/825, 7415/209 is
GCF of Numerators i.e. for 9486,7415 is 1
LCM of denominators i.e. for 825,209 is 15675.
Thus, GCF of Fractions is 1/15675.Finally, GCF of Fractions for 9486/825, 7415/209 is 1/15675.