GCF of 1621/502, 9297/3487
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1621/502, 9297/3487 i.e 1/1750474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1621/502, 9297/3487.
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 1621/502,9297/3487?
Given fractions are 1621/502,9297/3487
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 1621/502,9297/3487, numerators are 1621,9297
Denominators are 502,3487
The GCF of 1621,9297 is 1 .
LCM of 502,3487 is 1750474.
The greatest common factor of 1621/502,9297/3487 = [GCF of 1621,9297]/[LCM of 502,3487]= 1/1750474
Therefore, the GCF of 1621/502,9297/3487 is 1/1750474.
To find the highest common factor of 1621,9297, we have to find the factors of both numbers and list the highest common factor.
The factors of 1621 are 1, 1621
The factors of 9297 are 1, 3, 9, 1033, 3099, 9297
The HCF of 1621,9297 is 1.
Lets's calculate GCF of 1621,9297
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1621,9297 By Matching Biggest Common Factor Method
Now, list down the factors of 1621
:1,1621
Now, list down the factors of 9297
:1,3,9,1033,3099,9297
Greatest Common Factor
We found the factors 1621,9297 . The biggest common factor number is the GCF number.
So the greatest common factor 1621,9297 is 1.
Lets's calculate LCM of 502,3487
Given numbers has no common factors except 1. So, there LCM is their product i.e 1750474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1750474
Therefore, the GCF of Fractions 1621/502,9297/3487 is 1/1750474
Least Common Multiple of 502,3487 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 502,3487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,3487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,3487) x common factors =1 x 1 = 1
LCM(502,3487) = ( 502 × 3487 ) / 1
LCM(502,3487) = 1750474 / 1
LCM(502,3487) = 1750474
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FAQs on GCF of Fractions of 1621/502, 9297/3487
1. What is the HCF of 1621,9297?
The HCF of 1621,9297 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 1621/502, 9297/3487?
Answer: GCF of Numerators as per given numbers 1621/502, 9297/3487 is
GCF of Numerators i.e. for 1621,9297 is 1
LCM of denominators i.e. for 502,3487 is 1750474.
Thus, GCF of Fractions is 1/1750474.Finally, GCF of Fractions for 1621/502, 9297/3487 is 1/1750474.