GCF of 5613/290, 9955/7472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5613/290, 9955/7472 i.e 1/1083440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5613/290, 9955/7472.
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 5613/290,9955/7472?
Given fractions are 5613/290,9955/7472
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 5613/290,9955/7472, numerators are 5613,9955
Denominators are 290,7472
The GCF of 5613,9955 is 1 .
LCM of 290,7472 is 1083440.
The greatest common factor of 5613/290,9955/7472 = [GCF of 5613,9955]/[LCM of 290,7472]= 1/1083440
Therefore, the GCF of 5613/290,9955/7472 is 1/1083440.
To find the highest common factor of 5613,9955, we have to find the factors of both numbers and list the highest common factor.
The factors of 5613 are 1, 3, 1871, 5613
The factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955
The HCF of 5613,9955 is 1.
Lets's calculate GCF of 5613,9955
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5613,9955 By Matching Biggest Common Factor Method
Now, list down the factors of 5613
:1,3,1871,5613
Now, list down the factors of 9955
:1,5,11,55,181,905,1991,9955
Greatest Common Factor
We found the factors 5613,9955 . The biggest common factor number is the GCF number.
So the greatest common factor 5613,9955 is 1.
Lets's calculate LCM of 290,7472
| 2 | 290, 7472 |
| 145, 3736 |
∴ So the LCM of the given numbers is 2 x 145 x 3736 = 1083440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1083440
Therefore, the GCF of Fractions 5613/290,9955/7472 is 1/1083440
Least Common Multiple of 290,7472 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 290,7472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,7472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,7472) x common factors =2 x 1 = 2
LCM(290,7472) = ( 290 × 7472 ) / 2
LCM(290,7472) = 2166880 / 2
LCM(290,7472) = 1083440
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FAQs on GCF of Fractions of 5613/290, 9955/7472
1. What is the HCF of 5613,9955?
The HCF of 5613,9955 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 5613/290, 9955/7472?
Answer: GCF of Numerators as per given numbers 5613/290, 9955/7472 is
GCF of Numerators i.e. for 5613,9955 is 1
LCM of denominators i.e. for 290,7472 is 1083440.
Thus, GCF of Fractions is 1/1083440.Finally, GCF of Fractions for 5613/290, 9955/7472 is 1/1083440.