GCF of 8769/545, 8693/1471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8769/545, 8693/1471 i.e 1/801695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8769/545, 8693/1471.
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 8769/545,8693/1471?
Given fractions are 8769/545,8693/1471
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 8769/545,8693/1471, numerators are 8769,8693
Denominators are 545,1471
The GCF of 8769,8693 is 1 .
LCM of 545,1471 is 801695.
The greatest common factor of 8769/545,8693/1471 = [GCF of 8769,8693]/[LCM of 545,1471]= 1/801695
Therefore, the GCF of 8769/545,8693/1471 is 1/801695.
To find the highest common factor of 8769,8693, we have to find the factors of both numbers and list the highest common factor.
The factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769
The factors of 8693 are 1, 8693
The HCF of 8769,8693 is 1.
Lets's calculate GCF of 8769,8693
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8769,8693 By Matching Biggest Common Factor Method
Now, list down the factors of 8769
:1,3,37,79,111,237,2923,8769
Now, list down the factors of 8693
:1,8693
Greatest Common Factor
We found the factors 8769,8693 . The biggest common factor number is the GCF number.
So the greatest common factor 8769,8693 is 1.
Lets's calculate LCM of 545,1471
Given numbers has no common factors except 1. So, there LCM is their product i.e 801695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/801695
Therefore, the GCF of Fractions 8769/545,8693/1471 is 1/801695
Least Common Multiple of 545,1471 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 545,1471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,1471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,1471) x common factors =1 x 1 = 1
LCM(545,1471) = ( 545 × 1471 ) / 1
LCM(545,1471) = 801695 / 1
LCM(545,1471) = 801695
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FAQs on GCF of Fractions of 8769/545, 8693/1471
1. What is the HCF of 8769,8693?
The HCF of 8769,8693 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 8769/545, 8693/1471?
Answer: GCF of Numerators as per given numbers 8769/545, 8693/1471 is
GCF of Numerators i.e. for 8769,8693 is 1
LCM of denominators i.e. for 545,1471 is 801695.
Thus, GCF of Fractions is 1/801695.Finally, GCF of Fractions for 8769/545, 8693/1471 is 1/801695.