GCF of 3808/586, 8643/1289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3808/586, 8643/1289 i.e 1/755354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3808/586, 8643/1289.
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 3808/586,8643/1289?
Given fractions are 3808/586,8643/1289
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 3808/586,8643/1289, numerators are 3808,8643
Denominators are 586,1289
The GCF of 3808,8643 is 1 .
LCM of 586,1289 is 755354.
The greatest common factor of 3808/586,8643/1289 = [GCF of 3808,8643]/[LCM of 586,1289]= 1/755354
Therefore, the GCF of 3808/586,8643/1289 is 1/755354.
To find the highest common factor of 3808,8643, we have to find the factors of both numbers and list the highest common factor.
The factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808
The factors of 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643
The HCF of 3808,8643 is 1.
Lets's calculate GCF of 3808,8643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3808,8643 By Matching Biggest Common Factor Method
Now, list down the factors of 3808
:1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808
Now, list down the factors of 8643
:1,3,43,67,129,201,2881,8643
Greatest Common Factor
We found the factors 3808,8643 . The biggest common factor number is the GCF number.
So the greatest common factor 3808,8643 is 1.
Lets's calculate LCM of 586,1289
Given numbers has no common factors except 1. So, there LCM is their product i.e 755354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/755354
Therefore, the GCF of Fractions 3808/586,8643/1289 is 1/755354
Least Common Multiple of 586,1289 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 586,1289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,1289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,1289) x common factors =1 x 1 = 1
LCM(586,1289) = ( 586 × 1289 ) / 1
LCM(586,1289) = 755354 / 1
LCM(586,1289) = 755354
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FAQs on GCF of Fractions of 3808/586, 8643/1289
1. What is the HCF of 3808,8643?
The HCF of 3808,8643 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 3808/586, 8643/1289?
Answer: GCF of Numerators as per given numbers 3808/586, 8643/1289 is
GCF of Numerators i.e. for 3808,8643 is 1
LCM of denominators i.e. for 586,1289 is 755354.
Thus, GCF of Fractions is 1/755354.Finally, GCF of Fractions for 3808/586, 8643/1289 is 1/755354.