GCF of 9269/958, 9100/7146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9269/958, 9100/7146 i.e 13/3422934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9269/958, 9100/7146.
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 9269/958,9100/7146?
Given fractions are 9269/958,9100/7146
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 9269/958,9100/7146, numerators are 9269,9100
Denominators are 958,7146
The GCF of 9269,9100 is 13 .
LCM of 958,7146 is 3422934.
The greatest common factor of 9269/958,9100/7146 = [GCF of 9269,9100]/[LCM of 958,7146]= 13/3422934
Therefore, the GCF of 9269/958,9100/7146 is 13/3422934.
To find the highest common factor of 9269,9100, we have to find the factors of both numbers and list the highest common factor.
The factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269
The factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100
The HCF of 9269,9100 is 13.
Lets's calculate GCF of 9269,9100
| 13 | 9269, 9100 |
| 713, 700 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9269,9100 By Matching Biggest Common Factor Method
Now, list down the factors of 9269
:1,13,23,31,299,403,713,9269
Now, list down the factors of 9100
:1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100
Greatest Common Factor
We found the factors 9269,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 9269,9100 is 13.
Lets's calculate LCM of 958,7146
| 2 | 958, 7146 |
| 479, 3573 |
∴ So the LCM of the given numbers is 2 x 479 x 3573 = 3422934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3422934
Therefore, the GCF of Fractions 9269/958,9100/7146 is 13/3422934
Least Common Multiple of 958,7146 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 958,7146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,7146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(958,7146) x common factors =2 x 1 = 2
LCM(958,7146) = ( 958 × 7146 ) / 2
LCM(958,7146) = 6845868 / 2
LCM(958,7146) = 3422934
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FAQs on GCF of Fractions of 9269/958, 9100/7146
1. What is the HCF of 9269,9100?
The HCF of 9269,9100 is 13
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 9269/958, 9100/7146?
Answer: GCF of Numerators as per given numbers 9269/958, 9100/7146 is
GCF of Numerators i.e. for 9269,9100 is 13
LCM of denominators i.e. for 958,7146 is 3422934.
Thus, GCF of Fractions is 13/3422934.Finally, GCF of Fractions for 9269/958, 9100/7146 is 13/3422934.