GCF of 2124/575, 6013/1475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2124/575, 6013/1475 i.e 1/33925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2124/575, 6013/1475.
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 2124/575,6013/1475?
Given fractions are 2124/575,6013/1475
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 2124/575,6013/1475, numerators are 2124,6013
Denominators are 575,1475
The GCF of 2124,6013 is 1 .
LCM of 575,1475 is 33925.
The greatest common factor of 2124/575,6013/1475 = [GCF of 2124,6013]/[LCM of 575,1475]= 1/33925
Therefore, the GCF of 2124/575,6013/1475 is 1/33925.
To find the highest common factor of 2124,6013, we have to find the factors of both numbers and list the highest common factor.
The factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124
The factors of 6013 are 1, 7, 859, 6013
The HCF of 2124,6013 is 1.
Lets's calculate GCF of 2124,6013
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2124,6013 By Matching Biggest Common Factor Method
Now, list down the factors of 2124
:1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Now, list down the factors of 6013
:1,7,859,6013
Greatest Common Factor
We found the factors 2124,6013 . The biggest common factor number is the GCF number.
So the greatest common factor 2124,6013 is 1.
Lets's calculate LCM of 575,1475
| 5 | 575, 1475 |
| 5 | 115, 295 |
| 23, 59 |
∴ So the LCM of the given numbers is 5 x 5 x 23 x 59 = 33925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33925
Therefore, the GCF of Fractions 2124/575,6013/1475 is 1/33925
Least Common Multiple of 575,1475 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 575,1475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,1475) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(575,1475) x common factors =25 x 1 = 25
LCM(575,1475) = ( 575 × 1475 ) / 25
LCM(575,1475) = 848125 / 25
LCM(575,1475) = 33925
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2124/575, 6013/1475
1. What is the HCF of 2124,6013?
The HCF of 2124,6013 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 2124/575, 6013/1475?
Answer: GCF of Numerators as per given numbers 2124/575, 6013/1475 is
GCF of Numerators i.e. for 2124,6013 is 1
LCM of denominators i.e. for 575,1475 is 33925.
Thus, GCF of Fractions is 1/33925.Finally, GCF of Fractions for 2124/575, 6013/1475 is 1/33925.