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GCF of 1863/425, 3492/805

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 1863/425, 3492/805 i.e 9/68425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1863/425, 3492/805.

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 1863/425,3492/805?

Given fractions are 1863/425,3492/805

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 1863/425,3492/805, numerators are 1863,3492

Denominators are 425,805

The GCF of 1863,3492 is 9 .

LCM of 425,805 is 68425.

The greatest common factor of 1863/425,3492/805 = [GCF of 1863,3492]/[LCM of 425,805]= 9/68425

Therefore, the GCF of 1863/425,3492/805 is 9/68425.

Greatest Common Factor of 1863,3492

To find the highest common factor of 1863,3492, we have to find the factors of both numbers and list the highest common factor.

The factors of 1863 are 1, 3, 9, 23, 27, 69, 81, 207, 621, 1863

The factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492

The HCF of 1863,3492 is 9.

Lets's calculate GCF of 1863,3492

Greatest Common Factor (GCF) of 1863,3492 By Common Division

3 1863, 3492
3 621, 1164
207, 388

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 1863,3492 By Matching Biggest Common Factor Method

Greatest Common Factor of 1863,3492 By Matching Biggest Common Factor Method

Now, list down the factors of 1863

:

1,3,9,23,27,69,81,207,621,1863

Now, list down the factors of 3492

:

1,2,3,4,6,9,12,18,36,97,194,291,388,582,873,1164,1746,3492

Greatest Common Factor

We found the factors 1863,3492 . The biggest common factor number is the GCF number.
So the greatest common factor 1863,3492 is 9.


Lets's calculate LCM of 425,805

Lowest Common Multiple of 425,805 using Common Division

5 425, 805
85, 161

∴ So the LCM of the given numbers is 5 x 85 x 161 = 68425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/68425

Therefore, the GCF of Fractions 1863/425,3492/805 is 9/68425

Least Common Multiple of 425,805 with GCF Formula

Least Common Multiple of 425,805 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 425,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,805) = 5

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

GCF(425,805) x common factors =5 x 1 = 5

LCM(425,805) = ( 425 × 805 ) / 5

LCM(425,805) = 342125 / 5

LCM(425,805) = 68425


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1863/425, 3492/805

1. What is the HCF of 1863,3492?

The HCF of 1863,3492 is 9

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 1863/425, 3492/805?

Answer: GCF of Numerators as per given numbers 1863/425, 3492/805 is

GCF of Numerators i.e. for 1863,3492 is 9

LCM of denominators i.e. for 425,805 is 68425.

Thus, GCF of Fractions is 9/68425.Finally, GCF of Fractions for 1863/425, 3492/805 is 9/68425.