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GCF of 7728/802, 1389/1810

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 7728/802, 1389/1810 i.e 3/725810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7728/802, 1389/1810.

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 7728/802,1389/1810?

Given fractions are 7728/802,1389/1810

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 7728/802,1389/1810, numerators are 7728,1389

Denominators are 802,1810

The GCF of 7728,1389 is 3 .

LCM of 802,1810 is 725810.

The greatest common factor of 7728/802,1389/1810 = [GCF of 7728,1389]/[LCM of 802,1810]= 3/725810

Therefore, the GCF of 7728/802,1389/1810 is 3/725810.

Greatest Common Factor of 7728,1389

To find the highest common factor of 7728,1389, we have to find the factors of both numbers and list the highest common factor.

The factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728

The factors of 1389 are 1, 3, 463, 1389

The HCF of 7728,1389 is 3.

Lets's calculate GCF of 7728,1389

Greatest Common Factor (GCF) of 7728,1389 By Common Division

3 7728, 1389
2576, 463

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

Greatest Common Factor of 7728,1389 By Matching Biggest Common Factor Method

Greatest Common Factor of 7728,1389 By Matching Biggest Common Factor Method

Now, list down the factors of 7728

:

1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728

Now, list down the factors of 1389

:

1,3,463,1389

Greatest Common Factor

We found the factors 7728,1389 . The biggest common factor number is the GCF number.
So the greatest common factor 7728,1389 is 3.


Lets's calculate LCM of 802,1810

Lowest Common Multiple of 802,1810 using Common Division

2 802, 1810
401, 905

∴ So the LCM of the given numbers is 2 x 401 x 905 = 725810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/725810

Therefore, the GCF of Fractions 7728/802,1389/1810 is 3/725810

Least Common Multiple of 802,1810 with GCF Formula

Least Common Multiple of 802,1810 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 802,1810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,1810) = 2

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

GCF(802,1810) x common factors =2 x 1 = 2

LCM(802,1810) = ( 802 × 1810 ) / 2

LCM(802,1810) = 1451620 / 2

LCM(802,1810) = 725810


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7728/802, 1389/1810

1. What is the HCF of 7728,1389?

The HCF of 7728,1389 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 7728/802, 1389/1810?

Answer: GCF of Numerators as per given numbers 7728/802, 1389/1810 is

GCF of Numerators i.e. for 7728,1389 is 3

LCM of denominators i.e. for 802,1810 is 725810.

Thus, GCF of Fractions is 3/725810.Finally, GCF of Fractions for 7728/802, 1389/1810 is 3/725810.