GCF of 4995/825, 7355/1774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4995/825, 7355/1774 i.e 5/1463550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4995/825, 7355/1774.
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 4995/825,7355/1774?
Given fractions are 4995/825,7355/1774
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 4995/825,7355/1774, numerators are 4995,7355
Denominators are 825,1774
The GCF of 4995,7355 is 5 .
LCM of 825,1774 is 1463550.
The greatest common factor of 4995/825,7355/1774 = [GCF of 4995,7355]/[LCM of 825,1774]= 5/1463550
Therefore, the GCF of 4995/825,7355/1774 is 5/1463550.
To find the highest common factor of 4995,7355, we have to find the factors of both numbers and list the highest common factor.
The factors of 4995 are 1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995
The factors of 7355 are 1, 5, 1471, 7355
The HCF of 4995,7355 is 5.
Lets's calculate GCF of 4995,7355
| 5 | 4995, 7355 |
| 999, 1471 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4995,7355 By Matching Biggest Common Factor Method
Now, list down the factors of 4995
:1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995
Now, list down the factors of 7355
:1,5,1471,7355
Greatest Common Factor
We found the factors 4995,7355 . The biggest common factor number is the GCF number.
So the greatest common factor 4995,7355 is 5.
Lets's calculate LCM of 825,1774
Given numbers has no common factors except 1. So, there LCM is their product i.e 1463550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1463550
Therefore, the GCF of Fractions 4995/825,7355/1774 is 5/1463550
Least Common Multiple of 825,1774 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 825,1774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,1774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,1774) x common factors =1 x 1 = 1
LCM(825,1774) = ( 825 × 1774 ) / 1
LCM(825,1774) = 1463550 / 1
LCM(825,1774) = 1463550
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FAQs on GCF of Fractions of 4995/825, 7355/1774
1. What is the HCF of 4995,7355?
The HCF of 4995,7355 is 5
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 4995/825, 7355/1774?
Answer: GCF of Numerators as per given numbers 4995/825, 7355/1774 is
GCF of Numerators i.e. for 4995,7355 is 5
LCM of denominators i.e. for 825,1774 is 1463550.
Thus, GCF of Fractions is 5/1463550.Finally, GCF of Fractions for 4995/825, 7355/1774 is 5/1463550.