GCF of 3531/225, 1730/5328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3531/225, 1730/5328 i.e 1/133200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3531/225, 1730/5328.
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 3531/225,1730/5328?
Given fractions are 3531/225,1730/5328
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 3531/225,1730/5328, numerators are 3531,1730
Denominators are 225,5328
The GCF of 3531,1730 is 1 .
LCM of 225,5328 is 133200.
The greatest common factor of 3531/225,1730/5328 = [GCF of 3531,1730]/[LCM of 225,5328]= 1/133200
Therefore, the GCF of 3531/225,1730/5328 is 1/133200.
To find the highest common factor of 3531,1730, we have to find the factors of both numbers and list the highest common factor.
The factors of 3531 are 1, 3, 11, 33, 107, 321, 1177, 3531
The factors of 1730 are 1, 2, 5, 10, 173, 346, 865, 1730
The HCF of 3531,1730 is 1.
Lets's calculate GCF of 3531,1730
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3531,1730 By Matching Biggest Common Factor Method
Now, list down the factors of 3531
:1,3,11,33,107,321,1177,3531
Now, list down the factors of 1730
:1,2,5,10,173,346,865,1730
Greatest Common Factor
We found the factors 3531,1730 . The biggest common factor number is the GCF number.
So the greatest common factor 3531,1730 is 1.
Lets's calculate LCM of 225,5328
| 3 | 225, 5328 |
| 3 | 75, 1776 |
| 25, 592 |
∴ So the LCM of the given numbers is 3 x 3 x 25 x 592 = 133200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133200
Therefore, the GCF of Fractions 3531/225,1730/5328 is 1/133200
Least Common Multiple of 225,5328 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 225,5328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,5328) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(225,5328) x common factors =9 x 1 = 9
LCM(225,5328) = ( 225 × 5328 ) / 9
LCM(225,5328) = 1198800 / 9
LCM(225,5328) = 133200
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FAQs on GCF of Fractions of 3531/225, 1730/5328
1. What is the HCF of 3531,1730?
The HCF of 3531,1730 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 3531/225, 1730/5328?
Answer: GCF of Numerators as per given numbers 3531/225, 1730/5328 is
GCF of Numerators i.e. for 3531,1730 is 1
LCM of denominators i.e. for 225,5328 is 133200.
Thus, GCF of Fractions is 1/133200.Finally, GCF of Fractions for 3531/225, 1730/5328 is 1/133200.