GCF of 8715/617, 8206/440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8715/617, 8206/440 i.e 1/271480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8715/617, 8206/440.
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 8715/617,8206/440?
Given fractions are 8715/617,8206/440
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 8715/617,8206/440, numerators are 8715,8206
Denominators are 617,440
The GCF of 8715,8206 is 1 .
LCM of 617,440 is 271480.
The greatest common factor of 8715/617,8206/440 = [GCF of 8715,8206]/[LCM of 617,440]= 1/271480
Therefore, the GCF of 8715/617,8206/440 is 1/271480.
To find the highest common factor of 8715,8206, we have to find the factors of both numbers and list the highest common factor.
The factors of 8715 are 1, 3, 5, 7, 15, 21, 35, 83, 105, 249, 415, 581, 1245, 1743, 2905, 8715
The factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206
The HCF of 8715,8206 is 1.
Lets's calculate GCF of 8715,8206
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8715,8206 By Matching Biggest Common Factor Method
Now, list down the factors of 8715
:1,3,5,7,15,21,35,83,105,249,415,581,1245,1743,2905,8715
Now, list down the factors of 8206
:1,2,11,22,373,746,4103,8206
Greatest Common Factor
We found the factors 8715,8206 . The biggest common factor number is the GCF number.
So the greatest common factor 8715,8206 is 1.
Lets's calculate LCM of 617,440
Given numbers has no common factors except 1. So, there LCM is their product i.e 271480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271480
Therefore, the GCF of Fractions 8715/617,8206/440 is 1/271480
Least Common Multiple of 617,440 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 617,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,440) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,440) x common factors =1 x 1 = 1
LCM(617,440) = ( 617 × 440 ) / 1
LCM(617,440) = 271480 / 1
LCM(617,440) = 271480
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FAQs on GCF of Fractions of 8715/617, 8206/440
1. What is the HCF of 8715,8206?
The HCF of 8715,8206 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 8715/617, 8206/440?
Answer: GCF of Numerators as per given numbers 8715/617, 8206/440 is
GCF of Numerators i.e. for 8715,8206 is 1
LCM of denominators i.e. for 617,440 is 271480.
Thus, GCF of Fractions is 1/271480.Finally, GCF of Fractions for 8715/617, 8206/440 is 1/271480.