GCF of 2803/516, 9050/9258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2803/516, 9050/9258 i.e 1/796188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2803/516, 9050/9258.
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 2803/516,9050/9258?
Given fractions are 2803/516,9050/9258
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 2803/516,9050/9258, numerators are 2803,9050
Denominators are 516,9258
The GCF of 2803,9050 is 1 .
LCM of 516,9258 is 796188.
The greatest common factor of 2803/516,9050/9258 = [GCF of 2803,9050]/[LCM of 516,9258]= 1/796188
Therefore, the GCF of 2803/516,9050/9258 is 1/796188.
To find the highest common factor of 2803,9050, we have to find the factors of both numbers and list the highest common factor.
The factors of 2803 are 1, 2803
The factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050
The HCF of 2803,9050 is 1.
Lets's calculate GCF of 2803,9050
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2803,9050 By Matching Biggest Common Factor Method
Now, list down the factors of 2803
:1,2803
Now, list down the factors of 9050
:1,2,5,10,25,50,181,362,905,1810,4525,9050
Greatest Common Factor
We found the factors 2803,9050 . The biggest common factor number is the GCF number.
So the greatest common factor 2803,9050 is 1.
Lets's calculate LCM of 516,9258
| 2 | 516, 9258 |
| 3 | 258, 4629 |
| 86, 1543 |
∴ So the LCM of the given numbers is 2 x 3 x 86 x 1543 = 796188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/796188
Therefore, the GCF of Fractions 2803/516,9050/9258 is 1/796188
Least Common Multiple of 516,9258 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 516,9258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,9258) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(516,9258) x common factors =6 x 1 = 6
LCM(516,9258) = ( 516 × 9258 ) / 6
LCM(516,9258) = 4777128 / 6
LCM(516,9258) = 796188
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FAQs on GCF of Fractions of 2803/516, 9050/9258
1. What is the HCF of 2803,9050?
The HCF of 2803,9050 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 2803/516, 9050/9258?
Answer: GCF of Numerators as per given numbers 2803/516, 9050/9258 is
GCF of Numerators i.e. for 2803,9050 is 1
LCM of denominators i.e. for 516,9258 is 796188.
Thus, GCF of Fractions is 1/796188.Finally, GCF of Fractions for 2803/516, 9050/9258 is 1/796188.