GCF of 1693/986, 8307/5291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1693/986, 8307/5291 i.e 1/5216926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1693/986, 8307/5291.
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 1693/986,8307/5291?
Given fractions are 1693/986,8307/5291
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 1693/986,8307/5291, numerators are 1693,8307
Denominators are 986,5291
The GCF of 1693,8307 is 1 .
LCM of 986,5291 is 5216926.
The greatest common factor of 1693/986,8307/5291 = [GCF of 1693,8307]/[LCM of 986,5291]= 1/5216926
Therefore, the GCF of 1693/986,8307/5291 is 1/5216926.
To find the highest common factor of 1693,8307, we have to find the factors of both numbers and list the highest common factor.
The factors of 1693 are 1, 1693
The factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307
The HCF of 1693,8307 is 1.
Lets's calculate GCF of 1693,8307
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1693,8307 By Matching Biggest Common Factor Method
Now, list down the factors of 1693
:1,1693
Now, list down the factors of 8307
:1,3,9,13,39,71,117,213,639,923,2769,8307
Greatest Common Factor
We found the factors 1693,8307 . The biggest common factor number is the GCF number.
So the greatest common factor 1693,8307 is 1.
Lets's calculate LCM of 986,5291
Given numbers has no common factors except 1. So, there LCM is their product i.e 5216926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5216926
Therefore, the GCF of Fractions 1693/986,8307/5291 is 1/5216926
Least Common Multiple of 986,5291 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 986,5291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,5291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,5291) x common factors =1 x 1 = 1
LCM(986,5291) = ( 986 × 5291 ) / 1
LCM(986,5291) = 5216926 / 1
LCM(986,5291) = 5216926
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FAQs on GCF of Fractions of 1693/986, 8307/5291
1. What is the HCF of 1693,8307?
The HCF of 1693,8307 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 1693/986, 8307/5291?
Answer: GCF of Numerators as per given numbers 1693/986, 8307/5291 is
GCF of Numerators i.e. for 1693,8307 is 1
LCM of denominators i.e. for 986,5291 is 5216926.
Thus, GCF of Fractions is 1/5216926.Finally, GCF of Fractions for 1693/986, 8307/5291 is 1/5216926.