GCF of 8361/763, 1312/189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8361/763, 1312/189 i.e 1/20601 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8361/763, 1312/189.
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 8361/763,1312/189?
Given fractions are 8361/763,1312/189
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 8361/763,1312/189, numerators are 8361,1312
Denominators are 763,189
The GCF of 8361,1312 is 1 .
LCM of 763,189 is 20601.
The greatest common factor of 8361/763,1312/189 = [GCF of 8361,1312]/[LCM of 763,189]= 1/20601
Therefore, the GCF of 8361/763,1312/189 is 1/20601.
To find the highest common factor of 8361,1312, we have to find the factors of both numbers and list the highest common factor.
The factors of 8361 are 1, 3, 9, 929, 2787, 8361
The factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312
The HCF of 8361,1312 is 1.
Lets's calculate GCF of 8361,1312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8361,1312 By Matching Biggest Common Factor Method
Now, list down the factors of 8361
:1,3,9,929,2787,8361
Now, list down the factors of 1312
:1,2,4,8,16,32,41,82,164,328,656,1312
Greatest Common Factor
We found the factors 8361,1312 . The biggest common factor number is the GCF number.
So the greatest common factor 8361,1312 is 1.
Lets's calculate LCM of 763,189
| 7 | 763, 189 |
| 109, 27 |
∴ So the LCM of the given numbers is 7 x 109 x 27 = 20601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20601
Therefore, the GCF of Fractions 8361/763,1312/189 is 1/20601
Least Common Multiple of 763,189 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 763,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,189) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(763,189) x common factors =7 x 1 = 7
LCM(763,189) = ( 763 × 189 ) / 7
LCM(763,189) = 144207 / 7
LCM(763,189) = 20601
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FAQs on GCF of Fractions of 8361/763, 1312/189
1. What is the HCF of 8361,1312?
The HCF of 8361,1312 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 8361/763, 1312/189?
Answer: GCF of Numerators as per given numbers 8361/763, 1312/189 is
GCF of Numerators i.e. for 8361,1312 is 1
LCM of denominators i.e. for 763,189 is 20601.
Thus, GCF of Fractions is 1/20601.Finally, GCF of Fractions for 8361/763, 1312/189 is 1/20601.