GCF of 8251/971, 1002/1525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8251/971, 1002/1525 i.e 1/1480775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8251/971, 1002/1525.
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 8251/971,1002/1525?
Given fractions are 8251/971,1002/1525
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 8251/971,1002/1525, numerators are 8251,1002
Denominators are 971,1525
The GCF of 8251,1002 is 1 .
LCM of 971,1525 is 1480775.
The greatest common factor of 8251/971,1002/1525 = [GCF of 8251,1002]/[LCM of 971,1525]= 1/1480775
Therefore, the GCF of 8251/971,1002/1525 is 1/1480775.
To find the highest common factor of 8251,1002, we have to find the factors of both numbers and list the highest common factor.
The factors of 8251 are 1, 37, 223, 8251
The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002
The HCF of 8251,1002 is 1.
Lets's calculate GCF of 8251,1002
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8251,1002 By Matching Biggest Common Factor Method
Now, list down the factors of 8251
:1,37,223,8251
Now, list down the factors of 1002
:1,2,3,6,167,334,501,1002
Greatest Common Factor
We found the factors 8251,1002 . The biggest common factor number is the GCF number.
So the greatest common factor 8251,1002 is 1.
Lets's calculate LCM of 971,1525
Given numbers has no common factors except 1. So, there LCM is their product i.e 1480775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1480775
Therefore, the GCF of Fractions 8251/971,1002/1525 is 1/1480775
Least Common Multiple of 971,1525 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 971,1525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,1525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,1525) x common factors =1 x 1 = 1
LCM(971,1525) = ( 971 × 1525 ) / 1
LCM(971,1525) = 1480775 / 1
LCM(971,1525) = 1480775
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8251/971, 1002/1525
1. What is the HCF of 8251,1002?
The HCF of 8251,1002 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 8251/971, 1002/1525?
Answer: GCF of Numerators as per given numbers 8251/971, 1002/1525 is
GCF of Numerators i.e. for 8251,1002 is 1
LCM of denominators i.e. for 971,1525 is 1480775.
Thus, GCF of Fractions is 1/1480775.Finally, GCF of Fractions for 8251/971, 1002/1525 is 1/1480775.