GCF of 4255/667, 6886/6193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4255/667, 6886/6193 i.e 1/4130731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4255/667, 6886/6193.
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 4255/667,6886/6193?
Given fractions are 4255/667,6886/6193
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 4255/667,6886/6193, numerators are 4255,6886
Denominators are 667,6193
The GCF of 4255,6886 is 1 .
LCM of 667,6193 is 4130731.
The greatest common factor of 4255/667,6886/6193 = [GCF of 4255,6886]/[LCM of 667,6193]= 1/4130731
Therefore, the GCF of 4255/667,6886/6193 is 1/4130731.
To find the highest common factor of 4255,6886, we have to find the factors of both numbers and list the highest common factor.
The factors of 4255 are 1, 5, 23, 37, 115, 185, 851, 4255
The factors of 6886 are 1, 2, 11, 22, 313, 626, 3443, 6886
The HCF of 4255,6886 is 1.
Lets's calculate GCF of 4255,6886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4255,6886 By Matching Biggest Common Factor Method
Now, list down the factors of 4255
:1,5,23,37,115,185,851,4255
Now, list down the factors of 6886
:1,2,11,22,313,626,3443,6886
Greatest Common Factor
We found the factors 4255,6886 . The biggest common factor number is the GCF number.
So the greatest common factor 4255,6886 is 1.
Lets's calculate LCM of 667,6193
Given numbers has no common factors except 1. So, there LCM is their product i.e 4130731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4130731
Therefore, the GCF of Fractions 4255/667,6886/6193 is 1/4130731
Least Common Multiple of 667,6193 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 667,6193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,6193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,6193) x common factors =1 x 1 = 1
LCM(667,6193) = ( 667 × 6193 ) / 1
LCM(667,6193) = 4130731 / 1
LCM(667,6193) = 4130731
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FAQs on GCF of Fractions of 4255/667, 6886/6193
1. What is the HCF of 4255,6886?
The HCF of 4255,6886 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 4255/667, 6886/6193?
Answer: GCF of Numerators as per given numbers 4255/667, 6886/6193 is
GCF of Numerators i.e. for 4255,6886 is 1
LCM of denominators i.e. for 667,6193 is 4130731.
Thus, GCF of Fractions is 1/4130731.Finally, GCF of Fractions for 4255/667, 6886/6193 is 1/4130731.