GCF of 7883/668, 8174/4005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7883/668, 8174/4005 i.e 1/2675340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7883/668, 8174/4005.
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 7883/668,8174/4005?
Given fractions are 7883/668,8174/4005
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 7883/668,8174/4005, numerators are 7883,8174
Denominators are 668,4005
The GCF of 7883,8174 is 1 .
LCM of 668,4005 is 2675340.
The greatest common factor of 7883/668,8174/4005 = [GCF of 7883,8174]/[LCM of 668,4005]= 1/2675340
Therefore, the GCF of 7883/668,8174/4005 is 1/2675340.
To find the highest common factor of 7883,8174, we have to find the factors of both numbers and list the highest common factor.
The factors of 7883 are 1, 7883
The factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174
The HCF of 7883,8174 is 1.
Lets's calculate GCF of 7883,8174
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7883,8174 By Matching Biggest Common Factor Method
Now, list down the factors of 7883
:1,7883
Now, list down the factors of 8174
:1,2,61,67,122,134,4087,8174
Greatest Common Factor
We found the factors 7883,8174 . The biggest common factor number is the GCF number.
So the greatest common factor 7883,8174 is 1.
Lets's calculate LCM of 668,4005
Given numbers has no common factors except 1. So, there LCM is their product i.e 2675340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2675340
Therefore, the GCF of Fractions 7883/668,8174/4005 is 1/2675340
Least Common Multiple of 668,4005 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 668,4005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,4005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(668,4005) x common factors =1 x 1 = 1
LCM(668,4005) = ( 668 × 4005 ) / 1
LCM(668,4005) = 2675340 / 1
LCM(668,4005) = 2675340
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FAQs on GCF of Fractions of 7883/668, 8174/4005
1. What is the HCF of 7883,8174?
The HCF of 7883,8174 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 7883/668, 8174/4005?
Answer: GCF of Numerators as per given numbers 7883/668, 8174/4005 is
GCF of Numerators i.e. for 7883,8174 is 1
LCM of denominators i.e. for 668,4005 is 2675340.
Thus, GCF of Fractions is 1/2675340.Finally, GCF of Fractions for 7883/668, 8174/4005 is 1/2675340.