GCF of 7942/330, 3819/4489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7942/330, 3819/4489 i.e 19/1481370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7942/330, 3819/4489.
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 7942/330,3819/4489?
Given fractions are 7942/330,3819/4489
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 7942/330,3819/4489, numerators are 7942,3819
Denominators are 330,4489
The GCF of 7942,3819 is 19 .
LCM of 330,4489 is 1481370.
The greatest common factor of 7942/330,3819/4489 = [GCF of 7942,3819]/[LCM of 330,4489]= 19/1481370
Therefore, the GCF of 7942/330,3819/4489 is 19/1481370.
To find the highest common factor of 7942,3819, we have to find the factors of both numbers and list the highest common factor.
The factors of 7942 are 1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971, 7942
The factors of 3819 are 1, 3, 19, 57, 67, 201, 1273, 3819
The HCF of 7942,3819 is 19.
Lets's calculate GCF of 7942,3819
| 19 | 7942, 3819 |
| 418, 201 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 7942,3819 By Matching Biggest Common Factor Method
Now, list down the factors of 7942
:1,2,11,19,22,38,209,361,418,722,3971,7942
Now, list down the factors of 3819
:1,3,19,57,67,201,1273,3819
Greatest Common Factor
We found the factors 7942,3819 . The biggest common factor number is the GCF number.
So the greatest common factor 7942,3819 is 19.
Lets's calculate LCM of 330,4489
Given numbers has no common factors except 1. So, there LCM is their product i.e 1481370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1481370
Therefore, the GCF of Fractions 7942/330,3819/4489 is 19/1481370
Least Common Multiple of 330,4489 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 330,4489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,4489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(330,4489) x common factors =1 x 1 = 1
LCM(330,4489) = ( 330 × 4489 ) / 1
LCM(330,4489) = 1481370 / 1
LCM(330,4489) = 1481370
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FAQs on GCF of Fractions of 7942/330, 3819/4489
1. What is the HCF of 7942,3819?
The HCF of 7942,3819 is 19
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 7942/330, 3819/4489?
Answer: GCF of Numerators as per given numbers 7942/330, 3819/4489 is
GCF of Numerators i.e. for 7942,3819 is 19
LCM of denominators i.e. for 330,4489 is 1481370.
Thus, GCF of Fractions is 19/1481370.Finally, GCF of Fractions for 7942/330, 3819/4489 is 19/1481370.