GCF of 8756/821, 8611/2730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8756/821, 8611/2730 i.e 1/2241330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8756/821, 8611/2730.
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 8756/821,8611/2730?
Given fractions are 8756/821,8611/2730
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 8756/821,8611/2730, numerators are 8756,8611
Denominators are 821,2730
The GCF of 8756,8611 is 1 .
LCM of 821,2730 is 2241330.
The greatest common factor of 8756/821,8611/2730 = [GCF of 8756,8611]/[LCM of 821,2730]= 1/2241330
Therefore, the GCF of 8756/821,8611/2730 is 1/2241330.
To find the highest common factor of 8756,8611, we have to find the factors of both numbers and list the highest common factor.
The factors of 8756 are 1, 2, 4, 11, 22, 44, 199, 398, 796, 2189, 4378, 8756
The factors of 8611 are 1, 79, 109, 8611
The HCF of 8756,8611 is 1.
Lets's calculate GCF of 8756,8611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8756,8611 By Matching Biggest Common Factor Method
Now, list down the factors of 8756
:1,2,4,11,22,44,199,398,796,2189,4378,8756
Now, list down the factors of 8611
:1,79,109,8611
Greatest Common Factor
We found the factors 8756,8611 . The biggest common factor number is the GCF number.
So the greatest common factor 8756,8611 is 1.
Lets's calculate LCM of 821,2730
Given numbers has no common factors except 1. So, there LCM is their product i.e 2241330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2241330
Therefore, the GCF of Fractions 8756/821,8611/2730 is 1/2241330
Least Common Multiple of 821,2730 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 821,2730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,2730) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,2730) x common factors =1 x 1 = 1
LCM(821,2730) = ( 821 × 2730 ) / 1
LCM(821,2730) = 2241330 / 1
LCM(821,2730) = 2241330
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FAQs on GCF of Fractions of 8756/821, 8611/2730
1. What is the HCF of 8756,8611?
The HCF of 8756,8611 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 8756/821, 8611/2730?
Answer: GCF of Numerators as per given numbers 8756/821, 8611/2730 is
GCF of Numerators i.e. for 8756,8611 is 1
LCM of denominators i.e. for 821,2730 is 2241330.
Thus, GCF of Fractions is 1/2241330.Finally, GCF of Fractions for 8756/821, 8611/2730 is 1/2241330.