GCF of 8374/661, 1071/2737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8374/661, 1071/2737 i.e 1/1809157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8374/661, 1071/2737.
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 8374/661,1071/2737?
Given fractions are 8374/661,1071/2737
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 8374/661,1071/2737, numerators are 8374,1071
Denominators are 661,2737
The GCF of 8374,1071 is 1 .
LCM of 661,2737 is 1809157.
The greatest common factor of 8374/661,1071/2737 = [GCF of 8374,1071]/[LCM of 661,2737]= 1/1809157
Therefore, the GCF of 8374/661,1071/2737 is 1/1809157.
To find the highest common factor of 8374,1071, we have to find the factors of both numbers and list the highest common factor.
The factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374
The factors of 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071
The HCF of 8374,1071 is 1.
Lets's calculate GCF of 8374,1071
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8374,1071 By Matching Biggest Common Factor Method
Now, list down the factors of 8374
:1,2,53,79,106,158,4187,8374
Now, list down the factors of 1071
:1,3,7,9,17,21,51,63,119,153,357,1071
Greatest Common Factor
We found the factors 8374,1071 . The biggest common factor number is the GCF number.
So the greatest common factor 8374,1071 is 1.
Lets's calculate LCM of 661,2737
Given numbers has no common factors except 1. So, there LCM is their product i.e 1809157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1809157
Therefore, the GCF of Fractions 8374/661,1071/2737 is 1/1809157
Least Common Multiple of 661,2737 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 661,2737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,2737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,2737) x common factors =1 x 1 = 1
LCM(661,2737) = ( 661 × 2737 ) / 1
LCM(661,2737) = 1809157 / 1
LCM(661,2737) = 1809157
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FAQs on GCF of Fractions of 8374/661, 1071/2737
1. What is the HCF of 8374,1071?
The HCF of 8374,1071 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 8374/661, 1071/2737?
Answer: GCF of Numerators as per given numbers 8374/661, 1071/2737 is
GCF of Numerators i.e. for 8374,1071 is 1
LCM of denominators i.e. for 661,2737 is 1809157.
Thus, GCF of Fractions is 1/1809157.Finally, GCF of Fractions for 8374/661, 1071/2737 is 1/1809157.