GCF of 5551/502, 8187/2001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5551/502, 8187/2001 i.e 1/1004502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5551/502, 8187/2001.
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 5551/502,8187/2001?
Given fractions are 5551/502,8187/2001
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 5551/502,8187/2001, numerators are 5551,8187
Denominators are 502,2001
The GCF of 5551,8187 is 1 .
LCM of 502,2001 is 1004502.
The greatest common factor of 5551/502,8187/2001 = [GCF of 5551,8187]/[LCM of 502,2001]= 1/1004502
Therefore, the GCF of 5551/502,8187/2001 is 1/1004502.
To find the highest common factor of 5551,8187, we have to find the factors of both numbers and list the highest common factor.
The factors of 5551 are 1, 7, 13, 61, 91, 427, 793, 5551
The factors of 8187 are 1, 3, 2729, 8187
The HCF of 5551,8187 is 1.
Lets's calculate GCF of 5551,8187
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5551,8187 By Matching Biggest Common Factor Method
Now, list down the factors of 5551
:1,7,13,61,91,427,793,5551
Now, list down the factors of 8187
:1,3,2729,8187
Greatest Common Factor
We found the factors 5551,8187 . The biggest common factor number is the GCF number.
So the greatest common factor 5551,8187 is 1.
Lets's calculate LCM of 502,2001
Given numbers has no common factors except 1. So, there LCM is their product i.e 1004502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1004502
Therefore, the GCF of Fractions 5551/502,8187/2001 is 1/1004502
Least Common Multiple of 502,2001 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 502,2001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,2001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,2001) x common factors =1 x 1 = 1
LCM(502,2001) = ( 502 × 2001 ) / 1
LCM(502,2001) = 1004502 / 1
LCM(502,2001) = 1004502
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FAQs on GCF of Fractions of 5551/502, 8187/2001
1. What is the HCF of 5551,8187?
The HCF of 5551,8187 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 5551/502, 8187/2001?
Answer: GCF of Numerators as per given numbers 5551/502, 8187/2001 is
GCF of Numerators i.e. for 5551,8187 is 1
LCM of denominators i.e. for 502,2001 is 1004502.
Thus, GCF of Fractions is 1/1004502.Finally, GCF of Fractions for 5551/502, 8187/2001 is 1/1004502.