GCF of 2303/181, 6674/9036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2303/181, 6674/9036 i.e 47/1635516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2303/181, 6674/9036.
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 2303/181,6674/9036?
Given fractions are 2303/181,6674/9036
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 2303/181,6674/9036, numerators are 2303,6674
Denominators are 181,9036
The GCF of 2303,6674 is 47 .
LCM of 181,9036 is 1635516.
The greatest common factor of 2303/181,6674/9036 = [GCF of 2303,6674]/[LCM of 181,9036]= 47/1635516
Therefore, the GCF of 2303/181,6674/9036 is 47/1635516.
To find the highest common factor of 2303,6674, we have to find the factors of both numbers and list the highest common factor.
The factors of 2303 are 1, 7, 47, 49, 329, 2303
The factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674
The HCF of 2303,6674 is 47.
Lets's calculate GCF of 2303,6674
| 47 | 2303, 6674 |
| 49, 142 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 2303,6674 By Matching Biggest Common Factor Method
Now, list down the factors of 2303
:1,7,47,49,329,2303
Now, list down the factors of 6674
:1,2,47,71,94,142,3337,6674
Greatest Common Factor
We found the factors 2303,6674 . The biggest common factor number is the GCF number.
So the greatest common factor 2303,6674 is 47.
Lets's calculate LCM of 181,9036
Given numbers has no common factors except 1. So, there LCM is their product i.e 1635516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/1635516
Therefore, the GCF of Fractions 2303/181,6674/9036 is 47/1635516
Least Common Multiple of 181,9036 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 181,9036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,9036) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,9036) x common factors =1 x 1 = 1
LCM(181,9036) = ( 181 × 9036 ) / 1
LCM(181,9036) = 1635516 / 1
LCM(181,9036) = 1635516
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FAQs on GCF of Fractions of 2303/181, 6674/9036
1. What is the HCF of 2303,6674?
The HCF of 2303,6674 is 47
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 2303/181, 6674/9036?
Answer: GCF of Numerators as per given numbers 2303/181, 6674/9036 is
GCF of Numerators i.e. for 2303,6674 is 47
LCM of denominators i.e. for 181,9036 is 1635516.
Thus, GCF of Fractions is 47/1635516.Finally, GCF of Fractions for 2303/181, 6674/9036 is 47/1635516.