GCF of 8357/347, 9230/6575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8357/347, 9230/6575 i.e 1/2281525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8357/347, 9230/6575.
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 8357/347,9230/6575?
Given fractions are 8357/347,9230/6575
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 8357/347,9230/6575, numerators are 8357,9230
Denominators are 347,6575
The GCF of 8357,9230 is 1 .
LCM of 347,6575 is 2281525.
The greatest common factor of 8357/347,9230/6575 = [GCF of 8357,9230]/[LCM of 347,6575]= 1/2281525
Therefore, the GCF of 8357/347,9230/6575 is 1/2281525.
To find the highest common factor of 8357,9230, we have to find the factors of both numbers and list the highest common factor.
The factors of 8357 are 1, 61, 137, 8357
The factors of 9230 are 1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615, 9230
The HCF of 8357,9230 is 1.
Lets's calculate GCF of 8357,9230
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8357,9230 By Matching Biggest Common Factor Method
Now, list down the factors of 8357
:1,61,137,8357
Now, list down the factors of 9230
:1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230
Greatest Common Factor
We found the factors 8357,9230 . The biggest common factor number is the GCF number.
So the greatest common factor 8357,9230 is 1.
Lets's calculate LCM of 347,6575
Given numbers has no common factors except 1. So, there LCM is their product i.e 2281525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2281525
Therefore, the GCF of Fractions 8357/347,9230/6575 is 1/2281525
Least Common Multiple of 347,6575 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 347,6575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,6575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,6575) x common factors =1 x 1 = 1
LCM(347,6575) = ( 347 × 6575 ) / 1
LCM(347,6575) = 2281525 / 1
LCM(347,6575) = 2281525
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FAQs on GCF of Fractions of 8357/347, 9230/6575
1. What is the HCF of 8357,9230?
The HCF of 8357,9230 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 8357/347, 9230/6575?
Answer: GCF of Numerators as per given numbers 8357/347, 9230/6575 is
GCF of Numerators i.e. for 8357,9230 is 1
LCM of denominators i.e. for 347,6575 is 2281525.
Thus, GCF of Fractions is 1/2281525.Finally, GCF of Fractions for 8357/347, 9230/6575 is 1/2281525.