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GCF of 7425/898, 7194/3785

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 7425/898, 7194/3785 i.e 33/3398930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7425/898, 7194/3785.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7425/898,7194/3785?

Given fractions are 7425/898,7194/3785

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 7425/898,7194/3785, numerators are 7425,7194

Denominators are 898,3785

The GCF of 7425,7194 is 33 .

LCM of 898,3785 is 3398930.

The greatest common factor of 7425/898,7194/3785 = [GCF of 7425,7194]/[LCM of 898,3785]= 33/3398930

Therefore, the GCF of 7425/898,7194/3785 is 33/3398930.

Greatest Common Factor of 7425,7194

To find the highest common factor of 7425,7194, we have to find the factors of both numbers and list the highest common factor.

The factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425

The factors of 7194 are 1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194

The HCF of 7425,7194 is 33.

Lets's calculate GCF of 7425,7194

Greatest Common Factor (GCF) of 7425,7194 By Common Division

3 7425, 7194
11 2475, 2398
225, 218

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 7425,7194 By Matching Biggest Common Factor Method

Greatest Common Factor of 7425,7194 By Matching Biggest Common Factor Method

Now, list down the factors of 7425

:

1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425

Now, list down the factors of 7194

:

1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194

Greatest Common Factor

We found the factors 7425,7194 . The biggest common factor number is the GCF number.
So the greatest common factor 7425,7194 is 33.


Lets's calculate LCM of 898,3785

Lowest Common Multiple of 898,3785 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3398930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/3398930

Therefore, the GCF of Fractions 7425/898,7194/3785 is 33/3398930

Least Common Multiple of 898,3785 with GCF Formula

Least Common Multiple of 898,3785 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 898,3785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,3785) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(898,3785) x common factors =1 x 1 = 1

LCM(898,3785) = ( 898 × 3785 ) / 1

LCM(898,3785) = 3398930 / 1

LCM(898,3785) = 3398930


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7425/898, 7194/3785

1. What is the HCF of 7425,7194?

The HCF of 7425,7194 is 33

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 7425/898, 7194/3785?

Answer: GCF of Numerators as per given numbers 7425/898, 7194/3785 is

GCF of Numerators i.e. for 7425,7194 is 33

LCM of denominators i.e. for 898,3785 is 3398930.

Thus, GCF of Fractions is 33/3398930.Finally, GCF of Fractions for 7425/898, 7194/3785 is 33/3398930.