GCF of 3558/172, 2475/7430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3558/172, 2475/7430 i.e 3/638980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3558/172, 2475/7430.
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 3558/172,2475/7430?
Given fractions are 3558/172,2475/7430
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 3558/172,2475/7430, numerators are 3558,2475
Denominators are 172,7430
The GCF of 3558,2475 is 3 .
LCM of 172,7430 is 638980.
The greatest common factor of 3558/172,2475/7430 = [GCF of 3558,2475]/[LCM of 172,7430]= 3/638980
Therefore, the GCF of 3558/172,2475/7430 is 3/638980.
To find the highest common factor of 3558,2475, we have to find the factors of both numbers and list the highest common factor.
The factors of 3558 are 1, 2, 3, 6, 593, 1186, 1779, 3558
The factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475
The HCF of 3558,2475 is 3.
Lets's calculate GCF of 3558,2475
| 3 | 3558, 2475 |
| 1186, 825 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3558,2475 By Matching Biggest Common Factor Method
Now, list down the factors of 3558
:1,2,3,6,593,1186,1779,3558
Now, list down the factors of 2475
:1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475
Greatest Common Factor
We found the factors 3558,2475 . The biggest common factor number is the GCF number.
So the greatest common factor 3558,2475 is 3.
Lets's calculate LCM of 172,7430
| 2 | 172, 7430 |
| 86, 3715 |
∴ So the LCM of the given numbers is 2 x 86 x 3715 = 638980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/638980
Therefore, the GCF of Fractions 3558/172,2475/7430 is 3/638980
Least Common Multiple of 172,7430 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 172,7430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,7430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,7430) x common factors =2 x 1 = 2
LCM(172,7430) = ( 172 × 7430 ) / 2
LCM(172,7430) = 1277960 / 2
LCM(172,7430) = 638980
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FAQs on GCF of Fractions of 3558/172, 2475/7430
1. What is the HCF of 3558,2475?
The HCF of 3558,2475 is 3
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 3558/172, 2475/7430?
Answer: GCF of Numerators as per given numbers 3558/172, 2475/7430 is
GCF of Numerators i.e. for 3558,2475 is 3
LCM of denominators i.e. for 172,7430 is 638980.
Thus, GCF of Fractions is 3/638980.Finally, GCF of Fractions for 3558/172, 2475/7430 is 3/638980.