GCF of 3661/981, 9932/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3661/981, 9932/984 i.e 1/321768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3661/981, 9932/984.
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 3661/981,9932/984?
Given fractions are 3661/981,9932/984
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 3661/981,9932/984, numerators are 3661,9932
Denominators are 981,984
The GCF of 3661,9932 is 1 .
LCM of 981,984 is 321768.
The greatest common factor of 3661/981,9932/984 = [GCF of 3661,9932]/[LCM of 981,984]= 1/321768
Therefore, the GCF of 3661/981,9932/984 is 1/321768.
To find the highest common factor of 3661,9932, we have to find the factors of both numbers and list the highest common factor.
The factors of 3661 are 1, 7, 523, 3661
The factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932
The HCF of 3661,9932 is 1.
Lets's calculate GCF of 3661,9932
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3661,9932 By Matching Biggest Common Factor Method
Now, list down the factors of 3661
:1,7,523,3661
Now, list down the factors of 9932
:1,2,4,13,26,52,191,382,764,2483,4966,9932
Greatest Common Factor
We found the factors 3661,9932 . The biggest common factor number is the GCF number.
So the greatest common factor 3661,9932 is 1.
Lets's calculate LCM of 981,984
| 3 | 981, 984 |
| 327, 328 |
∴ So the LCM of the given numbers is 3 x 327 x 328 = 321768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321768
Therefore, the GCF of Fractions 3661/981,9932/984 is 1/321768
Least Common Multiple of 981,984 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 981,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,984) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(981,984) x common factors =3 x 1 = 3
LCM(981,984) = ( 981 × 984 ) / 3
LCM(981,984) = 965304 / 3
LCM(981,984) = 321768
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FAQs on GCF of Fractions of 3661/981, 9932/984
1. What is the HCF of 3661,9932?
The HCF of 3661,9932 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 3661/981, 9932/984?
Answer: GCF of Numerators as per given numbers 3661/981, 9932/984 is
GCF of Numerators i.e. for 3661,9932 is 1
LCM of denominators i.e. for 981,984 is 321768.
Thus, GCF of Fractions is 1/321768.Finally, GCF of Fractions for 3661/981, 9932/984 is 1/321768.