GCF of 2849/500, 9107/1913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2849/500, 9107/1913 i.e 7/956500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2849/500, 9107/1913.
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 2849/500,9107/1913?
Given fractions are 2849/500,9107/1913
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 2849/500,9107/1913, numerators are 2849,9107
Denominators are 500,1913
The GCF of 2849,9107 is 7 .
LCM of 500,1913 is 956500.
The greatest common factor of 2849/500,9107/1913 = [GCF of 2849,9107]/[LCM of 500,1913]= 7/956500
Therefore, the GCF of 2849/500,9107/1913 is 7/956500.
To find the highest common factor of 2849,9107, we have to find the factors of both numbers and list the highest common factor.
The factors of 2849 are 1, 7, 11, 37, 77, 259, 407, 2849
The factors of 9107 are 1, 7, 1301, 9107
The HCF of 2849,9107 is 7.
Lets's calculate GCF of 2849,9107
| 7 | 2849, 9107 |
| 407, 1301 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2849,9107 By Matching Biggest Common Factor Method
Now, list down the factors of 2849
:1,7,11,37,77,259,407,2849
Now, list down the factors of 9107
:1,7,1301,9107
Greatest Common Factor
We found the factors 2849,9107 . The biggest common factor number is the GCF number.
So the greatest common factor 2849,9107 is 7.
Lets's calculate LCM of 500,1913
Given numbers has no common factors except 1. So, there LCM is their product i.e 956500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/956500
Therefore, the GCF of Fractions 2849/500,9107/1913 is 7/956500
Least Common Multiple of 500,1913 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 500,1913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,1913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,1913) x common factors =1 x 1 = 1
LCM(500,1913) = ( 500 × 1913 ) / 1
LCM(500,1913) = 956500 / 1
LCM(500,1913) = 956500
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FAQs on GCF of Fractions of 2849/500, 9107/1913
1. What is the HCF of 2849,9107?
The HCF of 2849,9107 is 7
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 2849/500, 9107/1913?
Answer: GCF of Numerators as per given numbers 2849/500, 9107/1913 is
GCF of Numerators i.e. for 2849,9107 is 7
LCM of denominators i.e. for 500,1913 is 956500.
Thus, GCF of Fractions is 7/956500.Finally, GCF of Fractions for 2849/500, 9107/1913 is 7/956500.