GCF of 5521/848, 7513/7355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5521/848, 7513/7355 i.e 1/6237040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5521/848, 7513/7355.
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 5521/848,7513/7355?
Given fractions are 5521/848,7513/7355
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 5521/848,7513/7355, numerators are 5521,7513
Denominators are 848,7355
The GCF of 5521,7513 is 1 .
LCM of 848,7355 is 6237040.
The greatest common factor of 5521/848,7513/7355 = [GCF of 5521,7513]/[LCM of 848,7355]= 1/6237040
Therefore, the GCF of 5521/848,7513/7355 is 1/6237040.
To find the highest common factor of 5521,7513, we have to find the factors of both numbers and list the highest common factor.
The factors of 5521 are 1, 5521
The factors of 7513 are 1, 11, 683, 7513
The HCF of 5521,7513 is 1.
Lets's calculate GCF of 5521,7513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5521,7513 By Matching Biggest Common Factor Method
Now, list down the factors of 5521
:1,5521
Now, list down the factors of 7513
:1,11,683,7513
Greatest Common Factor
We found the factors 5521,7513 . The biggest common factor number is the GCF number.
So the greatest common factor 5521,7513 is 1.
Lets's calculate LCM of 848,7355
Given numbers has no common factors except 1. So, there LCM is their product i.e 6237040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6237040
Therefore, the GCF of Fractions 5521/848,7513/7355 is 1/6237040
Least Common Multiple of 848,7355 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 848,7355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,7355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(848,7355) x common factors =1 x 1 = 1
LCM(848,7355) = ( 848 × 7355 ) / 1
LCM(848,7355) = 6237040 / 1
LCM(848,7355) = 6237040
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FAQs on GCF of Fractions of 5521/848, 7513/7355
1. What is the HCF of 5521,7513?
The HCF of 5521,7513 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 5521/848, 7513/7355?
Answer: GCF of Numerators as per given numbers 5521/848, 7513/7355 is
GCF of Numerators i.e. for 5521,7513 is 1
LCM of denominators i.e. for 848,7355 is 6237040.
Thus, GCF of Fractions is 1/6237040.Finally, GCF of Fractions for 5521/848, 7513/7355 is 1/6237040.