GCF of 1641/617, 6016/8039
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1641/617, 6016/8039 i.e 1/4960063 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1641/617, 6016/8039.
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 1641/617,6016/8039?
Given fractions are 1641/617,6016/8039
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 1641/617,6016/8039, numerators are 1641,6016
Denominators are 617,8039
The GCF of 1641,6016 is 1 .
LCM of 617,8039 is 4960063.
The greatest common factor of 1641/617,6016/8039 = [GCF of 1641,6016]/[LCM of 617,8039]= 1/4960063
Therefore, the GCF of 1641/617,6016/8039 is 1/4960063.
To find the highest common factor of 1641,6016, we have to find the factors of both numbers and list the highest common factor.
The factors of 1641 are 1, 3, 547, 1641
The factors of 6016 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016
The HCF of 1641,6016 is 1.
Lets's calculate GCF of 1641,6016
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1641,6016 By Matching Biggest Common Factor Method
Now, list down the factors of 1641
:1,3,547,1641
Now, list down the factors of 6016
:1,2,4,8,16,32,47,64,94,128,188,376,752,1504,3008,6016
Greatest Common Factor
We found the factors 1641,6016 . The biggest common factor number is the GCF number.
So the greatest common factor 1641,6016 is 1.
Lets's calculate LCM of 617,8039
Given numbers has no common factors except 1. So, there LCM is their product i.e 4960063
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4960063
Therefore, the GCF of Fractions 1641/617,6016/8039 is 1/4960063
Least Common Multiple of 617,8039 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 617,8039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,8039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,8039) x common factors =1 x 1 = 1
LCM(617,8039) = ( 617 × 8039 ) / 1
LCM(617,8039) = 4960063 / 1
LCM(617,8039) = 4960063
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FAQs on GCF of Fractions of 1641/617, 6016/8039
1. What is the HCF of 1641,6016?
The HCF of 1641,6016 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 1641/617, 6016/8039?
Answer: GCF of Numerators as per given numbers 1641/617, 6016/8039 is
GCF of Numerators i.e. for 1641,6016 is 1
LCM of denominators i.e. for 617,8039 is 4960063.
Thus, GCF of Fractions is 1/4960063.Finally, GCF of Fractions for 1641/617, 6016/8039 is 1/4960063.