GCF of 9770/419, 3652/3511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9770/419, 3652/3511 i.e 2/1471109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9770/419, 3652/3511.
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 9770/419,3652/3511?
Given fractions are 9770/419,3652/3511
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 9770/419,3652/3511, numerators are 9770,3652
Denominators are 419,3511
The GCF of 9770,3652 is 2 .
LCM of 419,3511 is 1471109.
The greatest common factor of 9770/419,3652/3511 = [GCF of 9770,3652]/[LCM of 419,3511]= 2/1471109
Therefore, the GCF of 9770/419,3652/3511 is 2/1471109.
To find the highest common factor of 9770,3652, we have to find the factors of both numbers and list the highest common factor.
The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770
The factors of 3652 are 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826, 3652
The HCF of 9770,3652 is 2.
Lets's calculate GCF of 9770,3652
| 2 | 9770, 3652 |
| 4885, 1826 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9770,3652 By Matching Biggest Common Factor Method
Now, list down the factors of 9770
:1,2,5,10,977,1954,4885,9770
Now, list down the factors of 3652
:1,2,4,11,22,44,83,166,332,913,1826,3652
Greatest Common Factor
We found the factors 9770,3652 . The biggest common factor number is the GCF number.
So the greatest common factor 9770,3652 is 2.
Lets's calculate LCM of 419,3511
Given numbers has no common factors except 1. So, there LCM is their product i.e 1471109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1471109
Therefore, the GCF of Fractions 9770/419,3652/3511 is 2/1471109
Least Common Multiple of 419,3511 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 419,3511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,3511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,3511) x common factors =1 x 1 = 1
LCM(419,3511) = ( 419 × 3511 ) / 1
LCM(419,3511) = 1471109 / 1
LCM(419,3511) = 1471109
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FAQs on GCF of Fractions of 9770/419, 3652/3511
1. What is the HCF of 9770,3652?
The HCF of 9770,3652 is 2
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 9770/419, 3652/3511?
Answer: GCF of Numerators as per given numbers 9770/419, 3652/3511 is
GCF of Numerators i.e. for 9770,3652 is 2
LCM of denominators i.e. for 419,3511 is 1471109.
Thus, GCF of Fractions is 2/1471109.Finally, GCF of Fractions for 9770/419, 3652/3511 is 2/1471109.