GCF of 3362/994, 9787/4122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3362/994, 9787/4122 i.e 1/2048634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3362/994, 9787/4122.
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 3362/994,9787/4122?
Given fractions are 3362/994,9787/4122
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 3362/994,9787/4122, numerators are 3362,9787
Denominators are 994,4122
The GCF of 3362,9787 is 1 .
LCM of 994,4122 is 2048634.
The greatest common factor of 3362/994,9787/4122 = [GCF of 3362,9787]/[LCM of 994,4122]= 1/2048634
Therefore, the GCF of 3362/994,9787/4122 is 1/2048634.
To find the highest common factor of 3362,9787, we have to find the factors of both numbers and list the highest common factor.
The factors of 3362 are 1, 2, 41, 82, 1681, 3362
The factors of 9787 are 1, 9787
The HCF of 3362,9787 is 1.
Lets's calculate GCF of 3362,9787
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3362,9787 By Matching Biggest Common Factor Method
Now, list down the factors of 3362
:1,2,41,82,1681,3362
Now, list down the factors of 9787
:1,9787
Greatest Common Factor
We found the factors 3362,9787 . The biggest common factor number is the GCF number.
So the greatest common factor 3362,9787 is 1.
Lets's calculate LCM of 994,4122
| 2 | 994, 4122 |
| 497, 2061 |
∴ So the LCM of the given numbers is 2 x 497 x 2061 = 2048634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2048634
Therefore, the GCF of Fractions 3362/994,9787/4122 is 1/2048634
Least Common Multiple of 994,4122 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 994,4122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,4122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,4122) x common factors =2 x 1 = 2
LCM(994,4122) = ( 994 × 4122 ) / 2
LCM(994,4122) = 4097268 / 2
LCM(994,4122) = 2048634
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FAQs on GCF of Fractions of 3362/994, 9787/4122
1. What is the HCF of 3362,9787?
The HCF of 3362,9787 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 3362/994, 9787/4122?
Answer: GCF of Numerators as per given numbers 3362/994, 9787/4122 is
GCF of Numerators i.e. for 3362,9787 is 1
LCM of denominators i.e. for 994,4122 is 2048634.
Thus, GCF of Fractions is 1/2048634.Finally, GCF of Fractions for 3362/994, 9787/4122 is 1/2048634.