GCF of 3014/403, 2453/919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3014/403, 2453/919 i.e 11/370357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3014/403, 2453/919.
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 3014/403,2453/919?
Given fractions are 3014/403,2453/919
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 3014/403,2453/919, numerators are 3014,2453
Denominators are 403,919
The GCF of 3014,2453 is 11 .
LCM of 403,919 is 370357.
The greatest common factor of 3014/403,2453/919 = [GCF of 3014,2453]/[LCM of 403,919]= 11/370357
Therefore, the GCF of 3014/403,2453/919 is 11/370357.
To find the highest common factor of 3014,2453, we have to find the factors of both numbers and list the highest common factor.
The factors of 3014 are 1, 2, 11, 22, 137, 274, 1507, 3014
The factors of 2453 are 1, 11, 223, 2453
The HCF of 3014,2453 is 11.
Lets's calculate GCF of 3014,2453
| 11 | 3014, 2453 |
| 274, 223 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3014,2453 By Matching Biggest Common Factor Method
Now, list down the factors of 3014
:1,2,11,22,137,274,1507,3014
Now, list down the factors of 2453
:1,11,223,2453
Greatest Common Factor
We found the factors 3014,2453 . The biggest common factor number is the GCF number.
So the greatest common factor 3014,2453 is 11.
Lets's calculate LCM of 403,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 370357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/370357
Therefore, the GCF of Fractions 3014/403,2453/919 is 11/370357
Least Common Multiple of 403,919 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 403,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,919) x common factors =1 x 1 = 1
LCM(403,919) = ( 403 × 919 ) / 1
LCM(403,919) = 370357 / 1
LCM(403,919) = 370357
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FAQs on GCF of Fractions of 3014/403, 2453/919
1. What is the HCF of 3014,2453?
The HCF of 3014,2453 is 11
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 3014/403, 2453/919?
Answer: GCF of Numerators as per given numbers 3014/403, 2453/919 is
GCF of Numerators i.e. for 3014,2453 is 11
LCM of denominators i.e. for 403,919 is 370357.
Thus, GCF of Fractions is 11/370357.Finally, GCF of Fractions for 3014/403, 2453/919 is 11/370357.