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GCF of 8544/845, 1875/804

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 8544/845, 1875/804 i.e 3/679380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8544/845, 1875/804.

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 8544/845,1875/804?

Given fractions are 8544/845,1875/804

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 8544/845,1875/804, numerators are 8544,1875

Denominators are 845,804

The GCF of 8544,1875 is 3 .

LCM of 845,804 is 679380.

The greatest common factor of 8544/845,1875/804 = [GCF of 8544,1875]/[LCM of 845,804]= 3/679380

Therefore, the GCF of 8544/845,1875/804 is 3/679380.

Greatest Common Factor of 8544,1875

To find the highest common factor of 8544,1875, we have to find the factors of both numbers and list the highest common factor.

The factors of 8544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544

The factors of 1875 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875

The HCF of 8544,1875 is 3.

Lets's calculate GCF of 8544,1875

Greatest Common Factor (GCF) of 8544,1875 By Common Division

3 8544, 1875
2848, 625

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

Greatest Common Factor of 8544,1875 By Matching Biggest Common Factor Method

Greatest Common Factor of 8544,1875 By Matching Biggest Common Factor Method

Now, list down the factors of 8544

:

1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544

Now, list down the factors of 1875

:

1,3,5,15,25,75,125,375,625,1875

Greatest Common Factor

We found the factors 8544,1875 . The biggest common factor number is the GCF number.
So the greatest common factor 8544,1875 is 3.


Lets's calculate LCM of 845,804

Lowest Common Multiple of 845,804 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 679380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/679380

Therefore, the GCF of Fractions 8544/845,1875/804 is 3/679380

Least Common Multiple of 845,804 with GCF Formula

Least Common Multiple of 845,804 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 845,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,804) = 1

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

GCF(845,804) x common factors =1 x 1 = 1

LCM(845,804) = ( 845 × 804 ) / 1

LCM(845,804) = 679380 / 1

LCM(845,804) = 679380


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8544/845, 1875/804

1. What is the HCF of 8544,1875?

The HCF of 8544,1875 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 8544/845, 1875/804?

Answer: GCF of Numerators as per given numbers 8544/845, 1875/804 is

GCF of Numerators i.e. for 8544,1875 is 3

LCM of denominators i.e. for 845,804 is 679380.

Thus, GCF of Fractions is 3/679380.Finally, GCF of Fractions for 8544/845, 1875/804 is 3/679380.