How to Find GCF of 1821/105, 1669/2446?

GCF of 1821/105, 1669/2446

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 1821/105, 1669/2446 i.e 1/256830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1821/105, 1669/2446.

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 1821/105,1669/2446?

Given fractions are 1821/105,1669/2446

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 1821/105,1669/2446, numerators are 1821,1669

Denominators are 105,2446

The GCF of 1821,1669 is 1 .

LCM of 105,2446 is 256830.

The greatest common factor of 1821/105,1669/2446 = [GCF of 1821,1669]/[LCM of 105,2446]= 1/256830

Therefore, the GCF of 1821/105,1669/2446 is 1/256830.

Greatest Common Factor of 1821,1669

To find the highest common factor of 1821,1669, we have to find the factors of both numbers and list the highest common factor.

The factors of 1821 are 1, 3, 607, 1821

The factors of 1669 are 1, 1669

The HCF of 1821,1669 is 1.

Lets's calculate GCF of 1821,1669

Greatest Common Factor (GCF) of 1821,1669 By Common Division

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

Greatest Common Factor of 1821,1669 By Matching Biggest Common Factor Method

Now, list down the factors of 1821

1,3,607,1821

Now, list down the factors of 1669

1,1669

Greatest Common Factor

We found the factors 1821,1669 . The biggest common factor number is the GCF number.
So the greatest common factor 1821,1669 is 1.

Lets's calculate LCM of 105,2446

Lowest Common Multiple of 105,2446 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 256830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256830

Therefore, the GCF of Fractions 1821/105,1669/2446 is 1/256830

Least Common Multiple of 105,2446 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 105,2446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,2446) = 1

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

GCF(105,2446) x common factors =1 x 1 = 1

LCM(105,2446) = ( 105 × 2446 ) / 1

LCM(105,2446) = 256830 / 1

LCM(105,2446) = 256830

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1821/105, 1669/2446

1. What is the HCF of 1821,1669?

The HCF of 1821,1669 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 1821/105, 1669/2446?

Answer: GCF of Numerators as per given numbers 1821/105, 1669/2446 is

GCF of Numerators i.e. for 1821,1669 is 1

LCM of denominators i.e. for 105,2446 is 256830.

Thus, GCF of Fractions is 1/256830.Finally, GCF of Fractions for 1821/105, 1669/2446 is 1/256830.