GCF of 8326/640, 4361/827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8326/640, 4361/827 i.e 1/529280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8326/640, 4361/827.
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 8326/640,4361/827?
Given fractions are 8326/640,4361/827
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 8326/640,4361/827, numerators are 8326,4361
Denominators are 640,827
The GCF of 8326,4361 is 1 .
LCM of 640,827 is 529280.
The greatest common factor of 8326/640,4361/827 = [GCF of 8326,4361]/[LCM of 640,827]= 1/529280
Therefore, the GCF of 8326/640,4361/827 is 1/529280.
To find the highest common factor of 8326,4361, we have to find the factors of both numbers and list the highest common factor.
The factors of 8326 are 1, 2, 23, 46, 181, 362, 4163, 8326
The factors of 4361 are 1, 7, 49, 89, 623, 4361
The HCF of 8326,4361 is 1.
Lets's calculate GCF of 8326,4361
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8326,4361 By Matching Biggest Common Factor Method
Now, list down the factors of 8326
:1,2,23,46,181,362,4163,8326
Now, list down the factors of 4361
:1,7,49,89,623,4361
Greatest Common Factor
We found the factors 8326,4361 . The biggest common factor number is the GCF number.
So the greatest common factor 8326,4361 is 1.
Lets's calculate LCM of 640,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 529280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/529280
Therefore, the GCF of Fractions 8326/640,4361/827 is 1/529280
Least Common Multiple of 640,827 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 640,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,827) x common factors =1 x 1 = 1
LCM(640,827) = ( 640 × 827 ) / 1
LCM(640,827) = 529280 / 1
LCM(640,827) = 529280
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FAQs on GCF of Fractions of 8326/640, 4361/827
1. What is the HCF of 8326,4361?
The HCF of 8326,4361 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 8326/640, 4361/827?
Answer: GCF of Numerators as per given numbers 8326/640, 4361/827 is
GCF of Numerators i.e. for 8326,4361 is 1
LCM of denominators i.e. for 640,827 is 529280.
Thus, GCF of Fractions is 1/529280.Finally, GCF of Fractions for 8326/640, 4361/827 is 1/529280.