GCF of 3663/980, 9785/2297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3663/980, 9785/2297 i.e 1/2251060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3663/980, 9785/2297.
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 3663/980,9785/2297?
Given fractions are 3663/980,9785/2297
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 3663/980,9785/2297, numerators are 3663,9785
Denominators are 980,2297
The GCF of 3663,9785 is 1 .
LCM of 980,2297 is 2251060.
The greatest common factor of 3663/980,9785/2297 = [GCF of 3663,9785]/[LCM of 980,2297]= 1/2251060
Therefore, the GCF of 3663/980,9785/2297 is 1/2251060.
To find the highest common factor of 3663,9785, we have to find the factors of both numbers and list the highest common factor.
The factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The HCF of 3663,9785 is 1.
Lets's calculate GCF of 3663,9785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3663,9785 By Matching Biggest Common Factor Method
Now, list down the factors of 3663
:1,3,9,11,33,37,99,111,333,407,1221,3663
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 3663,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 3663,9785 is 1.
Lets's calculate LCM of 980,2297
Given numbers has no common factors except 1. So, there LCM is their product i.e 2251060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2251060
Therefore, the GCF of Fractions 3663/980,9785/2297 is 1/2251060
Least Common Multiple of 980,2297 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 980,2297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,2297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(980,2297) x common factors =1 x 1 = 1
LCM(980,2297) = ( 980 × 2297 ) / 1
LCM(980,2297) = 2251060 / 1
LCM(980,2297) = 2251060
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FAQs on GCF of Fractions of 3663/980, 9785/2297
1. What is the HCF of 3663,9785?
The HCF of 3663,9785 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 3663/980, 9785/2297?
Answer: GCF of Numerators as per given numbers 3663/980, 9785/2297 is
GCF of Numerators i.e. for 3663,9785 is 1
LCM of denominators i.e. for 980,2297 is 2251060.
Thus, GCF of Fractions is 1/2251060.Finally, GCF of Fractions for 3663/980, 9785/2297 is 1/2251060.