GCF of 4514/517, 9172/2493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4514/517, 9172/2493 i.e 2/1288881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4514/517, 9172/2493.
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 4514/517,9172/2493?
Given fractions are 4514/517,9172/2493
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 4514/517,9172/2493, numerators are 4514,9172
Denominators are 517,2493
The GCF of 4514,9172 is 2 .
LCM of 517,2493 is 1288881.
The greatest common factor of 4514/517,9172/2493 = [GCF of 4514,9172]/[LCM of 517,2493]= 2/1288881
Therefore, the GCF of 4514/517,9172/2493 is 2/1288881.
To find the highest common factor of 4514,9172, we have to find the factors of both numbers and list the highest common factor.
The factors of 4514 are 1, 2, 37, 61, 74, 122, 2257, 4514
The factors of 9172 are 1, 2, 4, 2293, 4586, 9172
The HCF of 4514,9172 is 2.
Lets's calculate GCF of 4514,9172
| 2 | 4514, 9172 |
| 2257, 4586 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4514,9172 By Matching Biggest Common Factor Method
Now, list down the factors of 4514
:1,2,37,61,74,122,2257,4514
Now, list down the factors of 9172
:1,2,4,2293,4586,9172
Greatest Common Factor
We found the factors 4514,9172 . The biggest common factor number is the GCF number.
So the greatest common factor 4514,9172 is 2.
Lets's calculate LCM of 517,2493
Given numbers has no common factors except 1. So, there LCM is their product i.e 1288881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1288881
Therefore, the GCF of Fractions 4514/517,9172/2493 is 2/1288881
Least Common Multiple of 517,2493 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 517,2493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,2493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,2493) x common factors =1 x 1 = 1
LCM(517,2493) = ( 517 × 2493 ) / 1
LCM(517,2493) = 1288881 / 1
LCM(517,2493) = 1288881
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FAQs on GCF of Fractions of 4514/517, 9172/2493
1. What is the HCF of 4514,9172?
The HCF of 4514,9172 is 2
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 4514/517, 9172/2493?
Answer: GCF of Numerators as per given numbers 4514/517, 9172/2493 is
GCF of Numerators i.e. for 4514,9172 is 2
LCM of denominators i.e. for 517,2493 is 1288881.
Thus, GCF of Fractions is 2/1288881.Finally, GCF of Fractions for 4514/517, 9172/2493 is 2/1288881.