GCF of 8274/959, 5003/1998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8274/959, 5003/1998 i.e 1/1916082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8274/959, 5003/1998.
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 8274/959,5003/1998?
Given fractions are 8274/959,5003/1998
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 8274/959,5003/1998, numerators are 8274,5003
Denominators are 959,1998
The GCF of 8274,5003 is 1 .
LCM of 959,1998 is 1916082.
The greatest common factor of 8274/959,5003/1998 = [GCF of 8274,5003]/[LCM of 959,1998]= 1/1916082
Therefore, the GCF of 8274/959,5003/1998 is 1/1916082.
To find the highest common factor of 8274,5003, we have to find the factors of both numbers and list the highest common factor.
The factors of 8274 are 1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274
The factors of 5003 are 1, 5003
The HCF of 8274,5003 is 1.
Lets's calculate GCF of 8274,5003
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8274,5003 By Matching Biggest Common Factor Method
Now, list down the factors of 8274
:1,2,3,6,7,14,21,42,197,394,591,1182,1379,2758,4137,8274
Now, list down the factors of 5003
:1,5003
Greatest Common Factor
We found the factors 8274,5003 . The biggest common factor number is the GCF number.
So the greatest common factor 8274,5003 is 1.
Lets's calculate LCM of 959,1998
Given numbers has no common factors except 1. So, there LCM is their product i.e 1916082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1916082
Therefore, the GCF of Fractions 8274/959,5003/1998 is 1/1916082
Least Common Multiple of 959,1998 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 959,1998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,1998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,1998) x common factors =1 x 1 = 1
LCM(959,1998) = ( 959 × 1998 ) / 1
LCM(959,1998) = 1916082 / 1
LCM(959,1998) = 1916082
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FAQs on GCF of Fractions of 8274/959, 5003/1998
1. What is the HCF of 8274,5003?
The HCF of 8274,5003 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 8274/959, 5003/1998?
Answer: GCF of Numerators as per given numbers 8274/959, 5003/1998 is
GCF of Numerators i.e. for 8274,5003 is 1
LCM of denominators i.e. for 959,1998 is 1916082.
Thus, GCF of Fractions is 1/1916082.Finally, GCF of Fractions for 8274/959, 5003/1998 is 1/1916082.