GCF of 3368/259, 6021/9972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3368/259, 6021/9972 i.e 1/2582748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3368/259, 6021/9972.
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 3368/259,6021/9972?
Given fractions are 3368/259,6021/9972
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 3368/259,6021/9972, numerators are 3368,6021
Denominators are 259,9972
The GCF of 3368,6021 is 1 .
LCM of 259,9972 is 2582748.
The greatest common factor of 3368/259,6021/9972 = [GCF of 3368,6021]/[LCM of 259,9972]= 1/2582748
Therefore, the GCF of 3368/259,6021/9972 is 1/2582748.
To find the highest common factor of 3368,6021, we have to find the factors of both numbers and list the highest common factor.
The factors of 3368 are 1, 2, 4, 8, 421, 842, 1684, 3368
The factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021
The HCF of 3368,6021 is 1.
Lets's calculate GCF of 3368,6021
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3368,6021 By Matching Biggest Common Factor Method
Now, list down the factors of 3368
:1,2,4,8,421,842,1684,3368
Now, list down the factors of 6021
:1,3,9,27,223,669,2007,6021
Greatest Common Factor
We found the factors 3368,6021 . The biggest common factor number is the GCF number.
So the greatest common factor 3368,6021 is 1.
Lets's calculate LCM of 259,9972
Given numbers has no common factors except 1. So, there LCM is their product i.e 2582748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2582748
Therefore, the GCF of Fractions 3368/259,6021/9972 is 1/2582748
Least Common Multiple of 259,9972 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 259,9972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,9972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,9972) x common factors =1 x 1 = 1
LCM(259,9972) = ( 259 × 9972 ) / 1
LCM(259,9972) = 2582748 / 1
LCM(259,9972) = 2582748
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FAQs on GCF of Fractions of 3368/259, 6021/9972
1. What is the HCF of 3368,6021?
The HCF of 3368,6021 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 3368/259, 6021/9972?
Answer: GCF of Numerators as per given numbers 3368/259, 6021/9972 is
GCF of Numerators i.e. for 3368,6021 is 1
LCM of denominators i.e. for 259,9972 is 2582748.
Thus, GCF of Fractions is 1/2582748.Finally, GCF of Fractions for 3368/259, 6021/9972 is 1/2582748.