GCF of 8717/936, 1383/733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8717/936, 1383/733 i.e 1/686088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8717/936, 1383/733.
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 8717/936,1383/733?
Given fractions are 8717/936,1383/733
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 8717/936,1383/733, numerators are 8717,1383
Denominators are 936,733
The GCF of 8717,1383 is 1 .
LCM of 936,733 is 686088.
The greatest common factor of 8717/936,1383/733 = [GCF of 8717,1383]/[LCM of 936,733]= 1/686088
Therefore, the GCF of 8717/936,1383/733 is 1/686088.
To find the highest common factor of 8717,1383, we have to find the factors of both numbers and list the highest common factor.
The factors of 8717 are 1, 23, 379, 8717
The factors of 1383 are 1, 3, 461, 1383
The HCF of 8717,1383 is 1.
Lets's calculate GCF of 8717,1383
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8717,1383 By Matching Biggest Common Factor Method
Now, list down the factors of 8717
:1,23,379,8717
Now, list down the factors of 1383
:1,3,461,1383
Greatest Common Factor
We found the factors 8717,1383 . The biggest common factor number is the GCF number.
So the greatest common factor 8717,1383 is 1.
Lets's calculate LCM of 936,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 686088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/686088
Therefore, the GCF of Fractions 8717/936,1383/733 is 1/686088
Least Common Multiple of 936,733 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 936,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(936,733) x common factors =1 x 1 = 1
LCM(936,733) = ( 936 × 733 ) / 1
LCM(936,733) = 686088 / 1
LCM(936,733) = 686088
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FAQs on GCF of Fractions of 8717/936, 1383/733
1. What is the HCF of 8717,1383?
The HCF of 8717,1383 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 8717/936, 1383/733?
Answer: GCF of Numerators as per given numbers 8717/936, 1383/733 is
GCF of Numerators i.e. for 8717,1383 is 1
LCM of denominators i.e. for 936,733 is 686088.
Thus, GCF of Fractions is 1/686088.Finally, GCF of Fractions for 8717/936, 1383/733 is 1/686088.