GCF of 5026/515, 2269/605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5026/515, 2269/605 i.e 1/62315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5026/515, 2269/605.
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 5026/515,2269/605?
Given fractions are 5026/515,2269/605
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 5026/515,2269/605, numerators are 5026,2269
Denominators are 515,605
The GCF of 5026,2269 is 1 .
LCM of 515,605 is 62315.
The greatest common factor of 5026/515,2269/605 = [GCF of 5026,2269]/[LCM of 515,605]= 1/62315
Therefore, the GCF of 5026/515,2269/605 is 1/62315.
To find the highest common factor of 5026,2269, we have to find the factors of both numbers and list the highest common factor.
The factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026
The factors of 2269 are 1, 2269
The HCF of 5026,2269 is 1.
Lets's calculate GCF of 5026,2269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5026,2269 By Matching Biggest Common Factor Method
Now, list down the factors of 5026
:1,2,7,14,359,718,2513,5026
Now, list down the factors of 2269
:1,2269
Greatest Common Factor
We found the factors 5026,2269 . The biggest common factor number is the GCF number.
So the greatest common factor 5026,2269 is 1.
Lets's calculate LCM of 515,605
| 5 | 515, 605 |
| 103, 121 |
∴ So the LCM of the given numbers is 5 x 103 x 121 = 62315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62315
Therefore, the GCF of Fractions 5026/515,2269/605 is 1/62315
Least Common Multiple of 515,605 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 515,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,605) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(515,605) x common factors =5 x 1 = 5
LCM(515,605) = ( 515 × 605 ) / 5
LCM(515,605) = 311575 / 5
LCM(515,605) = 62315
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FAQs on GCF of Fractions of 5026/515, 2269/605
1. What is the HCF of 5026,2269?
The HCF of 5026,2269 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 5026/515, 2269/605?
Answer: GCF of Numerators as per given numbers 5026/515, 2269/605 is
GCF of Numerators i.e. for 5026,2269 is 1
LCM of denominators i.e. for 515,605 is 62315.
Thus, GCF of Fractions is 1/62315.Finally, GCF of Fractions for 5026/515, 2269/605 is 1/62315.