How to Find GCF of 1443/921, 2161/8600?

GCF of 1443/921, 2161/8600

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 1443/921, 2161/8600 i.e 1/7920600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1443/921, 2161/8600.

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 1443/921,2161/8600?

Given fractions are 1443/921,2161/8600

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 1443/921,2161/8600, numerators are 1443,2161

Denominators are 921,8600

The GCF of 1443,2161 is 1 .

LCM of 921,8600 is 7920600.

The greatest common factor of 1443/921,2161/8600 = [GCF of 1443,2161]/[LCM of 921,8600]= 1/7920600

Therefore, the GCF of 1443/921,2161/8600 is 1/7920600.

Greatest Common Factor of 1443,2161

To find the highest common factor of 1443,2161, we have to find the factors of both numbers and list the highest common factor.

The factors of 1443 are 1, 3, 13, 37, 39, 111, 481, 1443

The factors of 2161 are 1, 2161

The HCF of 1443,2161 is 1.

Lets's calculate GCF of 1443,2161

Greatest Common Factor (GCF) of 1443,2161 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1443,2161 By Matching Biggest Common Factor Method

Now, list down the factors of 1443

1,3,13,37,39,111,481,1443

Now, list down the factors of 2161

1,2161

Greatest Common Factor

We found the factors 1443,2161 . The biggest common factor number is the GCF number.
So the greatest common factor 1443,2161 is 1.

Lets's calculate LCM of 921,8600

Lowest Common Multiple of 921,8600 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7920600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7920600

Therefore, the GCF of Fractions 1443/921,2161/8600 is 1/7920600

Least Common Multiple of 921,8600 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 921,8600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,8600) = 1

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

GCF(921,8600) x common factors =1 x 1 = 1

LCM(921,8600) = ( 921 × 8600 ) / 1

LCM(921,8600) = 7920600 / 1

LCM(921,8600) = 7920600

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FAQs on GCF of Fractions of 1443/921, 2161/8600

1. What is the HCF of 1443,2161?

The HCF of 1443,2161 is 1

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 1443/921, 2161/8600?

Answer: GCF of Numerators as per given numbers 1443/921, 2161/8600 is

GCF of Numerators i.e. for 1443,2161 is 1

LCM of denominators i.e. for 921,8600 is 7920600.

Thus, GCF of Fractions is 1/7920600.Finally, GCF of Fractions for 1443/921, 2161/8600 is 1/7920600.