GCF of 7955/656, 5174/5643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7955/656, 5174/5643 i.e 1/3701808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7955/656, 5174/5643.
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 7955/656,5174/5643?
Given fractions are 7955/656,5174/5643
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 7955/656,5174/5643, numerators are 7955,5174
Denominators are 656,5643
The GCF of 7955,5174 is 1 .
LCM of 656,5643 is 3701808.
The greatest common factor of 7955/656,5174/5643 = [GCF of 7955,5174]/[LCM of 656,5643]= 1/3701808
Therefore, the GCF of 7955/656,5174/5643 is 1/3701808.
To find the highest common factor of 7955,5174, we have to find the factors of both numbers and list the highest common factor.
The factors of 7955 are 1, 5, 37, 43, 185, 215, 1591, 7955
The factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174
The HCF of 7955,5174 is 1.
Lets's calculate GCF of 7955,5174
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7955,5174 By Matching Biggest Common Factor Method
Now, list down the factors of 7955
:1,5,37,43,185,215,1591,7955
Now, list down the factors of 5174
:1,2,13,26,199,398,2587,5174
Greatest Common Factor
We found the factors 7955,5174 . The biggest common factor number is the GCF number.
So the greatest common factor 7955,5174 is 1.
Lets's calculate LCM of 656,5643
Given numbers has no common factors except 1. So, there LCM is their product i.e 3701808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3701808
Therefore, the GCF of Fractions 7955/656,5174/5643 is 1/3701808
Least Common Multiple of 656,5643 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 656,5643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,5643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,5643) x common factors =1 x 1 = 1
LCM(656,5643) = ( 656 × 5643 ) / 1
LCM(656,5643) = 3701808 / 1
LCM(656,5643) = 3701808
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FAQs on GCF of Fractions of 7955/656, 5174/5643
1. What is the HCF of 7955,5174?
The HCF of 7955,5174 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 7955/656, 5174/5643?
Answer: GCF of Numerators as per given numbers 7955/656, 5174/5643 is
GCF of Numerators i.e. for 7955,5174 is 1
LCM of denominators i.e. for 656,5643 is 3701808.
Thus, GCF of Fractions is 1/3701808.Finally, GCF of Fractions for 7955/656, 5174/5643 is 1/3701808.