GCF of 3681/966, 9994/9738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3681/966, 9994/9738 i.e 1/1567818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3681/966, 9994/9738.
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 3681/966,9994/9738?
Given fractions are 3681/966,9994/9738
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 3681/966,9994/9738, numerators are 3681,9994
Denominators are 966,9738
The GCF of 3681,9994 is 1 .
LCM of 966,9738 is 1567818.
The greatest common factor of 3681/966,9994/9738 = [GCF of 3681,9994]/[LCM of 966,9738]= 1/1567818
Therefore, the GCF of 3681/966,9994/9738 is 1/1567818.
To find the highest common factor of 3681,9994, we have to find the factors of both numbers and list the highest common factor.
The factors of 3681 are 1, 3, 9, 409, 1227, 3681
The factors of 9994 are 1, 2, 19, 38, 263, 526, 4997, 9994
The HCF of 3681,9994 is 1.
Lets's calculate GCF of 3681,9994
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3681,9994 By Matching Biggest Common Factor Method
Now, list down the factors of 3681
:1,3,9,409,1227,3681
Now, list down the factors of 9994
:1,2,19,38,263,526,4997,9994
Greatest Common Factor
We found the factors 3681,9994 . The biggest common factor number is the GCF number.
So the greatest common factor 3681,9994 is 1.
Lets's calculate LCM of 966,9738
| 2 | 966, 9738 |
| 3 | 483, 4869 |
| 161, 1623 |
∴ So the LCM of the given numbers is 2 x 3 x 161 x 1623 = 1567818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1567818
Therefore, the GCF of Fractions 3681/966,9994/9738 is 1/1567818
Least Common Multiple of 966,9738 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 966,9738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,9738) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(966,9738) x common factors =6 x 1 = 6
LCM(966,9738) = ( 966 × 9738 ) / 6
LCM(966,9738) = 9406908 / 6
LCM(966,9738) = 1567818
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FAQs on GCF of Fractions of 3681/966, 9994/9738
1. What is the HCF of 3681,9994?
The HCF of 3681,9994 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 3681/966, 9994/9738?
Answer: GCF of Numerators as per given numbers 3681/966, 9994/9738 is
GCF of Numerators i.e. for 3681,9994 is 1
LCM of denominators i.e. for 966,9738 is 1567818.
Thus, GCF of Fractions is 1/1567818.Finally, GCF of Fractions for 3681/966, 9994/9738 is 1/1567818.