GCF of 9170/270, 1965/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9170/270, 1965/544 i.e 655/73440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9170/270, 1965/544.
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 9170/270,1965/544?
Given fractions are 9170/270,1965/544
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 9170/270,1965/544, numerators are 9170,1965
Denominators are 270,544
The GCF of 9170,1965 is 655 .
LCM of 270,544 is 73440.
The greatest common factor of 9170/270,1965/544 = [GCF of 9170,1965]/[LCM of 270,544]= 655/73440
Therefore, the GCF of 9170/270,1965/544 is 655/73440.
To find the highest common factor of 9170,1965, we have to find the factors of both numbers and list the highest common factor.
The factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
The factors of 1965 are 1, 3, 5, 15, 131, 393, 655, 1965
The HCF of 9170,1965 is 655.
Lets's calculate GCF of 9170,1965
| 5 | 9170, 1965 |
| 131 | 1834, 393 |
| 14, 3 |
∴ So the GCF of the given numbers is 5 x 131 = 655
Greatest Common Factor of 9170,1965 By Matching Biggest Common Factor Method
Now, list down the factors of 9170
:1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170
Now, list down the factors of 1965
:1,3,5,15,131,393,655,1965
Greatest Common Factor
We found the factors 9170,1965 . The biggest common factor number is the GCF number.
So the greatest common factor 9170,1965 is 655.
Lets's calculate LCM of 270,544
| 2 | 270, 544 |
| 135, 272 |
∴ So the LCM of the given numbers is 2 x 135 x 272 = 73440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 655/73440
Therefore, the GCF of Fractions 9170/270,1965/544 is 655/73440
Least Common Multiple of 270,544 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 270,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,544) x common factors =2 x 1 = 2
LCM(270,544) = ( 270 × 544 ) / 2
LCM(270,544) = 146880 / 2
LCM(270,544) = 73440
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FAQs on GCF of Fractions of 9170/270, 1965/544
1. What is the HCF of 9170,1965?
The HCF of 9170,1965 is 655
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 9170/270, 1965/544?
Answer: GCF of Numerators as per given numbers 9170/270, 1965/544 is
GCF of Numerators i.e. for 9170,1965 is 655
LCM of denominators i.e. for 270,544 is 73440.
Thus, GCF of Fractions is 655/73440.Finally, GCF of Fractions for 9170/270, 1965/544 is 655/73440.