GCF of 3203/619, 8691/2008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3203/619, 8691/2008 i.e 1/1242952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3203/619, 8691/2008.
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 3203/619,8691/2008?
Given fractions are 3203/619,8691/2008
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 3203/619,8691/2008, numerators are 3203,8691
Denominators are 619,2008
The GCF of 3203,8691 is 1 .
LCM of 619,2008 is 1242952.
The greatest common factor of 3203/619,8691/2008 = [GCF of 3203,8691]/[LCM of 619,2008]= 1/1242952
Therefore, the GCF of 3203/619,8691/2008 is 1/1242952.
To find the highest common factor of 3203,8691, we have to find the factors of both numbers and list the highest common factor.
The factors of 3203 are 1, 3203
The factors of 8691 are 1, 3, 2897, 8691
The HCF of 3203,8691 is 1.
Lets's calculate GCF of 3203,8691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3203,8691 By Matching Biggest Common Factor Method
Now, list down the factors of 3203
:1,3203
Now, list down the factors of 8691
:1,3,2897,8691
Greatest Common Factor
We found the factors 3203,8691 . The biggest common factor number is the GCF number.
So the greatest common factor 3203,8691 is 1.
Lets's calculate LCM of 619,2008
Given numbers has no common factors except 1. So, there LCM is their product i.e 1242952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1242952
Therefore, the GCF of Fractions 3203/619,8691/2008 is 1/1242952
Least Common Multiple of 619,2008 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 619,2008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,2008) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,2008) x common factors =1 x 1 = 1
LCM(619,2008) = ( 619 × 2008 ) / 1
LCM(619,2008) = 1242952 / 1
LCM(619,2008) = 1242952
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FAQs on GCF of Fractions of 3203/619, 8691/2008
1. What is the HCF of 3203,8691?
The HCF of 3203,8691 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 3203/619, 8691/2008?
Answer: GCF of Numerators as per given numbers 3203/619, 8691/2008 is
GCF of Numerators i.e. for 3203,8691 is 1
LCM of denominators i.e. for 619,2008 is 1242952.
Thus, GCF of Fractions is 1/1242952.Finally, GCF of Fractions for 3203/619, 8691/2008 is 1/1242952.