GCF of 8137/687, 9216/262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8137/687, 9216/262 i.e 1/179994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8137/687, 9216/262.
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 8137/687,9216/262?
Given fractions are 8137/687,9216/262
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 8137/687,9216/262, numerators are 8137,9216
Denominators are 687,262
The GCF of 8137,9216 is 1 .
LCM of 687,262 is 179994.
The greatest common factor of 8137/687,9216/262 = [GCF of 8137,9216]/[LCM of 687,262]= 1/179994
Therefore, the GCF of 8137/687,9216/262 is 1/179994.
To find the highest common factor of 8137,9216, we have to find the factors of both numbers and list the highest common factor.
The factors of 8137 are 1, 79, 103, 8137
The factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216
The HCF of 8137,9216 is 1.
Lets's calculate GCF of 8137,9216
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8137,9216 By Matching Biggest Common Factor Method
Now, list down the factors of 8137
:1,79,103,8137
Now, list down the factors of 9216
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1024,1152,1536,2304,3072,4608,9216
Greatest Common Factor
We found the factors 8137,9216 . The biggest common factor number is the GCF number.
So the greatest common factor 8137,9216 is 1.
Lets's calculate LCM of 687,262
Given numbers has no common factors except 1. So, there LCM is their product i.e 179994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179994
Therefore, the GCF of Fractions 8137/687,9216/262 is 1/179994
Least Common Multiple of 687,262 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 687,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,262) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,262) x common factors =1 x 1 = 1
LCM(687,262) = ( 687 × 262 ) / 1
LCM(687,262) = 179994 / 1
LCM(687,262) = 179994
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FAQs on GCF of Fractions of 8137/687, 9216/262
1. What is the HCF of 8137,9216?
The HCF of 8137,9216 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 8137/687, 9216/262?
Answer: GCF of Numerators as per given numbers 8137/687, 9216/262 is
GCF of Numerators i.e. for 8137,9216 is 1
LCM of denominators i.e. for 687,262 is 179994.
Thus, GCF of Fractions is 1/179994.Finally, GCF of Fractions for 8137/687, 9216/262 is 1/179994.