GCF of 5212/629, 4503/1717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5212/629, 4503/1717 i.e 1/63529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5212/629, 4503/1717.
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 5212/629,4503/1717?
Given fractions are 5212/629,4503/1717
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 5212/629,4503/1717, numerators are 5212,4503
Denominators are 629,1717
The GCF of 5212,4503 is 1 .
LCM of 629,1717 is 63529.
The greatest common factor of 5212/629,4503/1717 = [GCF of 5212,4503]/[LCM of 629,1717]= 1/63529
Therefore, the GCF of 5212/629,4503/1717 is 1/63529.
To find the highest common factor of 5212,4503, we have to find the factors of both numbers and list the highest common factor.
The factors of 5212 are 1, 2, 4, 1303, 2606, 5212
The factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503
The HCF of 5212,4503 is 1.
Lets's calculate GCF of 5212,4503
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5212,4503 By Matching Biggest Common Factor Method
Now, list down the factors of 5212
:1,2,4,1303,2606,5212
Now, list down the factors of 4503
:1,3,19,57,79,237,1501,4503
Greatest Common Factor
We found the factors 5212,4503 . The biggest common factor number is the GCF number.
So the greatest common factor 5212,4503 is 1.
Lets's calculate LCM of 629,1717
| 17 | 629, 1717 |
| 37, 101 |
∴ So the LCM of the given numbers is 17 x 37 x 101 = 63529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63529
Therefore, the GCF of Fractions 5212/629,4503/1717 is 1/63529
Least Common Multiple of 629,1717 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 629,1717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,1717) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(629,1717) x common factors =17 x 1 = 17
LCM(629,1717) = ( 629 × 1717 ) / 17
LCM(629,1717) = 1079993 / 17
LCM(629,1717) = 63529
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FAQs on GCF of Fractions of 5212/629, 4503/1717
1. What is the HCF of 5212,4503?
The HCF of 5212,4503 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 5212/629, 4503/1717?
Answer: GCF of Numerators as per given numbers 5212/629, 4503/1717 is
GCF of Numerators i.e. for 5212,4503 is 1
LCM of denominators i.e. for 629,1717 is 63529.
Thus, GCF of Fractions is 1/63529.Finally, GCF of Fractions for 5212/629, 4503/1717 is 1/63529.