GCF of 3981/933, 2698/9291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3981/933, 2698/9291 i.e 1/2889501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3981/933, 2698/9291.
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 3981/933,2698/9291?
Given fractions are 3981/933,2698/9291
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 3981/933,2698/9291, numerators are 3981,2698
Denominators are 933,9291
The GCF of 3981,2698 is 1 .
LCM of 933,9291 is 2889501.
The greatest common factor of 3981/933,2698/9291 = [GCF of 3981,2698]/[LCM of 933,9291]= 1/2889501
Therefore, the GCF of 3981/933,2698/9291 is 1/2889501.
To find the highest common factor of 3981,2698, we have to find the factors of both numbers and list the highest common factor.
The factors of 3981 are 1, 3, 1327, 3981
The factors of 2698 are 1, 2, 19, 38, 71, 142, 1349, 2698
The HCF of 3981,2698 is 1.
Lets's calculate GCF of 3981,2698
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3981,2698 By Matching Biggest Common Factor Method
Now, list down the factors of 3981
:1,3,1327,3981
Now, list down the factors of 2698
:1,2,19,38,71,142,1349,2698
Greatest Common Factor
We found the factors 3981,2698 . The biggest common factor number is the GCF number.
So the greatest common factor 3981,2698 is 1.
Lets's calculate LCM of 933,9291
| 3 | 933, 9291 |
| 311, 3097 |
∴ So the LCM of the given numbers is 3 x 311 x 3097 = 2889501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2889501
Therefore, the GCF of Fractions 3981/933,2698/9291 is 1/2889501
Least Common Multiple of 933,9291 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 933,9291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,9291) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(933,9291) x common factors =3 x 1 = 3
LCM(933,9291) = ( 933 × 9291 ) / 3
LCM(933,9291) = 8668503 / 3
LCM(933,9291) = 2889501
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FAQs on GCF of Fractions of 3981/933, 2698/9291
1. What is the HCF of 3981,2698?
The HCF of 3981,2698 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 3981/933, 2698/9291?
Answer: GCF of Numerators as per given numbers 3981/933, 2698/9291 is
GCF of Numerators i.e. for 3981,2698 is 1
LCM of denominators i.e. for 933,9291 is 2889501.
Thus, GCF of Fractions is 1/2889501.Finally, GCF of Fractions for 3981/933, 2698/9291 is 1/2889501.