GCF of 9769/419, 3086/8635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9769/419, 3086/8635 i.e 1/3618065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9769/419, 3086/8635.
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 9769/419,3086/8635?
Given fractions are 9769/419,3086/8635
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 9769/419,3086/8635, numerators are 9769,3086
Denominators are 419,8635
The GCF of 9769,3086 is 1 .
LCM of 419,8635 is 3618065.
The greatest common factor of 9769/419,3086/8635 = [GCF of 9769,3086]/[LCM of 419,8635]= 1/3618065
Therefore, the GCF of 9769/419,3086/8635 is 1/3618065.
To find the highest common factor of 9769,3086, we have to find the factors of both numbers and list the highest common factor.
The factors of 9769 are 1, 9769
The factors of 3086 are 1, 2, 1543, 3086
The HCF of 9769,3086 is 1.
Lets's calculate GCF of 9769,3086
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9769,3086 By Matching Biggest Common Factor Method
Now, list down the factors of 9769
:1,9769
Now, list down the factors of 3086
:1,2,1543,3086
Greatest Common Factor
We found the factors 9769,3086 . The biggest common factor number is the GCF number.
So the greatest common factor 9769,3086 is 1.
Lets's calculate LCM of 419,8635
Given numbers has no common factors except 1. So, there LCM is their product i.e 3618065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3618065
Therefore, the GCF of Fractions 9769/419,3086/8635 is 1/3618065
Least Common Multiple of 419,8635 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 419,8635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,8635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,8635) x common factors =1 x 1 = 1
LCM(419,8635) = ( 419 × 8635 ) / 1
LCM(419,8635) = 3618065 / 1
LCM(419,8635) = 3618065
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FAQs on GCF of Fractions of 9769/419, 3086/8635
1. What is the HCF of 9769,3086?
The HCF of 9769,3086 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 9769/419, 3086/8635?
Answer: GCF of Numerators as per given numbers 9769/419, 3086/8635 is
GCF of Numerators i.e. for 9769,3086 is 1
LCM of denominators i.e. for 419,8635 is 3618065.
Thus, GCF of Fractions is 1/3618065.Finally, GCF of Fractions for 9769/419, 3086/8635 is 1/3618065.