GCF of 5018/142, 2592/430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5018/142, 2592/430 i.e 2/30530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5018/142, 2592/430.
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 5018/142,2592/430?
Given fractions are 5018/142,2592/430
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 5018/142,2592/430, numerators are 5018,2592
Denominators are 142,430
The GCF of 5018,2592 is 2 .
LCM of 142,430 is 30530.
The greatest common factor of 5018/142,2592/430 = [GCF of 5018,2592]/[LCM of 142,430]= 2/30530
Therefore, the GCF of 5018/142,2592/430 is 2/30530.
To find the highest common factor of 5018,2592, we have to find the factors of both numbers and list the highest common factor.
The factors of 5018 are 1, 2, 13, 26, 193, 386, 2509, 5018
The factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592
The HCF of 5018,2592 is 2.
Lets's calculate GCF of 5018,2592
| 2 | 5018, 2592 |
| 2509, 1296 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5018,2592 By Matching Biggest Common Factor Method
Now, list down the factors of 5018
:1,2,13,26,193,386,2509,5018
Now, list down the factors of 2592
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,288,324,432,648,864,1296,2592
Greatest Common Factor
We found the factors 5018,2592 . The biggest common factor number is the GCF number.
So the greatest common factor 5018,2592 is 2.
Lets's calculate LCM of 142,430
| 2 | 142, 430 |
| 71, 215 |
∴ So the LCM of the given numbers is 2 x 71 x 215 = 30530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30530
Therefore, the GCF of Fractions 5018/142,2592/430 is 2/30530
Least Common Multiple of 142,430 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 142,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,430) x common factors =2 x 1 = 2
LCM(142,430) = ( 142 × 430 ) / 2
LCM(142,430) = 61060 / 2
LCM(142,430) = 30530
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FAQs on GCF of Fractions of 5018/142, 2592/430
1. What is the HCF of 5018,2592?
The HCF of 5018,2592 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 5018/142, 2592/430?
Answer: GCF of Numerators as per given numbers 5018/142, 2592/430 is
GCF of Numerators i.e. for 5018,2592 is 2
LCM of denominators i.e. for 142,430 is 30530.
Thus, GCF of Fractions is 2/30530.Finally, GCF of Fractions for 5018/142, 2592/430 is 2/30530.