GCF of 9505/270, 3580/891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9505/270, 3580/891 i.e 5/8910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9505/270, 3580/891.
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 9505/270,3580/891?
Given fractions are 9505/270,3580/891
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 9505/270,3580/891, numerators are 9505,3580
Denominators are 270,891
The GCF of 9505,3580 is 5 .
LCM of 270,891 is 8910.
The greatest common factor of 9505/270,3580/891 = [GCF of 9505,3580]/[LCM of 270,891]= 5/8910
Therefore, the GCF of 9505/270,3580/891 is 5/8910.
To find the highest common factor of 9505,3580, we have to find the factors of both numbers and list the highest common factor.
The factors of 9505 are 1, 5, 1901, 9505
The factors of 3580 are 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580
The HCF of 9505,3580 is 5.
Lets's calculate GCF of 9505,3580
| 5 | 9505, 3580 |
| 1901, 716 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9505,3580 By Matching Biggest Common Factor Method
Now, list down the factors of 9505
:1,5,1901,9505
Now, list down the factors of 3580
:1,2,4,5,10,20,179,358,716,895,1790,3580
Greatest Common Factor
We found the factors 9505,3580 . The biggest common factor number is the GCF number.
So the greatest common factor 9505,3580 is 5.
Lets's calculate LCM of 270,891
| 3 | 270, 891 |
| 3 | 90, 297 |
| 3 | 30, 99 |
| 10, 33 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 10 x 33 = 8910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8910
Therefore, the GCF of Fractions 9505/270,3580/891 is 5/8910
Least Common Multiple of 270,891 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 270,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,891) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(270,891) x common factors =27 x 1 = 27
LCM(270,891) = ( 270 × 891 ) / 27
LCM(270,891) = 240570 / 27
LCM(270,891) = 8910
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FAQs on GCF of Fractions of 9505/270, 3580/891
1. What is the HCF of 9505,3580?
The HCF of 9505,3580 is 5
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 9505/270, 3580/891?
Answer: GCF of Numerators as per given numbers 9505/270, 3580/891 is
GCF of Numerators i.e. for 9505,3580 is 5
LCM of denominators i.e. for 270,891 is 8910.
Thus, GCF of Fractions is 5/8910.Finally, GCF of Fractions for 9505/270, 3580/891 is 5/8910.