GCF of 5671/414, 3565/6799
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5671/414, 3565/6799 i.e 1/2814786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5671/414, 3565/6799.
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 5671/414,3565/6799?
Given fractions are 5671/414,3565/6799
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 5671/414,3565/6799, numerators are 5671,3565
Denominators are 414,6799
The GCF of 5671,3565 is 1 .
LCM of 414,6799 is 2814786.
The greatest common factor of 5671/414,3565/6799 = [GCF of 5671,3565]/[LCM of 414,6799]= 1/2814786
Therefore, the GCF of 5671/414,3565/6799 is 1/2814786.
To find the highest common factor of 5671,3565, we have to find the factors of both numbers and list the highest common factor.
The factors of 5671 are 1, 53, 107, 5671
The factors of 3565 are 1, 5, 23, 31, 115, 155, 713, 3565
The HCF of 5671,3565 is 1.
Lets's calculate GCF of 5671,3565
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5671,3565 By Matching Biggest Common Factor Method
Now, list down the factors of 5671
:1,53,107,5671
Now, list down the factors of 3565
:1,5,23,31,115,155,713,3565
Greatest Common Factor
We found the factors 5671,3565 . The biggest common factor number is the GCF number.
So the greatest common factor 5671,3565 is 1.
Lets's calculate LCM of 414,6799
Given numbers has no common factors except 1. So, there LCM is their product i.e 2814786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2814786
Therefore, the GCF of Fractions 5671/414,3565/6799 is 1/2814786
Least Common Multiple of 414,6799 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 414,6799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,6799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,6799) x common factors =1 x 1 = 1
LCM(414,6799) = ( 414 × 6799 ) / 1
LCM(414,6799) = 2814786 / 1
LCM(414,6799) = 2814786
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FAQs on GCF of Fractions of 5671/414, 3565/6799
1. What is the HCF of 5671,3565?
The HCF of 5671,3565 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 5671/414, 3565/6799?
Answer: GCF of Numerators as per given numbers 5671/414, 3565/6799 is
GCF of Numerators i.e. for 5671,3565 is 1
LCM of denominators i.e. for 414,6799 is 2814786.
Thus, GCF of Fractions is 1/2814786.Finally, GCF of Fractions for 5671/414, 3565/6799 is 1/2814786.