GCF of 8704/281, 8861/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8704/281, 8861/863 i.e 1/242503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8704/281, 8861/863.
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 8704/281,8861/863?
Given fractions are 8704/281,8861/863
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 8704/281,8861/863, numerators are 8704,8861
Denominators are 281,863
The GCF of 8704,8861 is 1 .
LCM of 281,863 is 242503.
The greatest common factor of 8704/281,8861/863 = [GCF of 8704,8861]/[LCM of 281,863]= 1/242503
Therefore, the GCF of 8704/281,8861/863 is 1/242503.
To find the highest common factor of 8704,8861, we have to find the factors of both numbers and list the highest common factor.
The factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704
The factors of 8861 are 1, 8861
The HCF of 8704,8861 is 1.
Lets's calculate GCF of 8704,8861
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8704,8861 By Matching Biggest Common Factor Method
Now, list down the factors of 8704
:1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704
Now, list down the factors of 8861
:1,8861
Greatest Common Factor
We found the factors 8704,8861 . The biggest common factor number is the GCF number.
So the greatest common factor 8704,8861 is 1.
Lets's calculate LCM of 281,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 242503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242503
Therefore, the GCF of Fractions 8704/281,8861/863 is 1/242503
Least Common Multiple of 281,863 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 281,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,863) x common factors =1 x 1 = 1
LCM(281,863) = ( 281 × 863 ) / 1
LCM(281,863) = 242503 / 1
LCM(281,863) = 242503
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FAQs on GCF of Fractions of 8704/281, 8861/863
1. What is the HCF of 8704,8861?
The HCF of 8704,8861 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 8704/281, 8861/863?
Answer: GCF of Numerators as per given numbers 8704/281, 8861/863 is
GCF of Numerators i.e. for 8704,8861 is 1
LCM of denominators i.e. for 281,863 is 242503.
Thus, GCF of Fractions is 1/242503.Finally, GCF of Fractions for 8704/281, 8861/863 is 1/242503.