GCF of 4257/494, 2874/7363
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4257/494, 2874/7363 i.e 3/3637322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4257/494, 2874/7363.
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 4257/494,2874/7363?
Given fractions are 4257/494,2874/7363
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 4257/494,2874/7363, numerators are 4257,2874
Denominators are 494,7363
The GCF of 4257,2874 is 3 .
LCM of 494,7363 is 3637322.
The greatest common factor of 4257/494,2874/7363 = [GCF of 4257,2874]/[LCM of 494,7363]= 3/3637322
Therefore, the GCF of 4257/494,2874/7363 is 3/3637322.
To find the highest common factor of 4257,2874, we have to find the factors of both numbers and list the highest common factor.
The factors of 4257 are 1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257
The factors of 2874 are 1, 2, 3, 6, 479, 958, 1437, 2874
The HCF of 4257,2874 is 3.
Lets's calculate GCF of 4257,2874
| 3 | 4257, 2874 |
| 1419, 958 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4257,2874 By Matching Biggest Common Factor Method
Now, list down the factors of 4257
:1,3,9,11,33,43,99,129,387,473,1419,4257
Now, list down the factors of 2874
:1,2,3,6,479,958,1437,2874
Greatest Common Factor
We found the factors 4257,2874 . The biggest common factor number is the GCF number.
So the greatest common factor 4257,2874 is 3.
Lets's calculate LCM of 494,7363
Given numbers has no common factors except 1. So, there LCM is their product i.e 3637322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3637322
Therefore, the GCF of Fractions 4257/494,2874/7363 is 3/3637322
Least Common Multiple of 494,7363 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 494,7363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,7363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(494,7363) x common factors =1 x 1 = 1
LCM(494,7363) = ( 494 × 7363 ) / 1
LCM(494,7363) = 3637322 / 1
LCM(494,7363) = 3637322
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4257/494, 2874/7363
1. What is the HCF of 4257,2874?
The HCF of 4257,2874 is 3
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 4257/494, 2874/7363?
Answer: GCF of Numerators as per given numbers 4257/494, 2874/7363 is
GCF of Numerators i.e. for 4257,2874 is 3
LCM of denominators i.e. for 494,7363 is 3637322.
Thus, GCF of Fractions is 3/3637322.Finally, GCF of Fractions for 4257/494, 2874/7363 is 3/3637322.