GCF of 2033/930, 1450/2725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2033/930, 1450/2725 i.e 1/506850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2033/930, 1450/2725.
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 2033/930,1450/2725?
Given fractions are 2033/930,1450/2725
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 2033/930,1450/2725, numerators are 2033,1450
Denominators are 930,2725
The GCF of 2033,1450 is 1 .
LCM of 930,2725 is 506850.
The greatest common factor of 2033/930,1450/2725 = [GCF of 2033,1450]/[LCM of 930,2725]= 1/506850
Therefore, the GCF of 2033/930,1450/2725 is 1/506850.
To find the highest common factor of 2033,1450, we have to find the factors of both numbers and list the highest common factor.
The factors of 2033 are 1, 19, 107, 2033
The factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450
The HCF of 2033,1450 is 1.
Lets's calculate GCF of 2033,1450
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2033,1450 By Matching Biggest Common Factor Method
Now, list down the factors of 2033
:1,19,107,2033
Now, list down the factors of 1450
:1,2,5,10,25,29,50,58,145,290,725,1450
Greatest Common Factor
We found the factors 2033,1450 . The biggest common factor number is the GCF number.
So the greatest common factor 2033,1450 is 1.
Lets's calculate LCM of 930,2725
| 5 | 930, 2725 |
| 186, 545 |
∴ So the LCM of the given numbers is 5 x 186 x 545 = 506850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/506850
Therefore, the GCF of Fractions 2033/930,1450/2725 is 1/506850
Least Common Multiple of 930,2725 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 930,2725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,2725) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(930,2725) x common factors =5 x 1 = 5
LCM(930,2725) = ( 930 × 2725 ) / 5
LCM(930,2725) = 2534250 / 5
LCM(930,2725) = 506850
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FAQs on GCF of Fractions of 2033/930, 1450/2725
1. What is the HCF of 2033,1450?
The HCF of 2033,1450 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 2033/930, 1450/2725?
Answer: GCF of Numerators as per given numbers 2033/930, 1450/2725 is
GCF of Numerators i.e. for 2033,1450 is 1
LCM of denominators i.e. for 930,2725 is 506850.
Thus, GCF of Fractions is 1/506850.Finally, GCF of Fractions for 2033/930, 1450/2725 is 1/506850.