How to Find GCF of 1887/401, 5410/2849?

GCF of 1887/401, 5410/2849

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 1887/401, 5410/2849 i.e 1/1142449 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1887/401, 5410/2849.

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 1887/401,5410/2849?

Given fractions are 1887/401,5410/2849

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 1887/401,5410/2849, numerators are 1887,5410

Denominators are 401,2849

The GCF of 1887,5410 is 1 .

LCM of 401,2849 is 1142449.

The greatest common factor of 1887/401,5410/2849 = [GCF of 1887,5410]/[LCM of 401,2849]= 1/1142449

Therefore, the GCF of 1887/401,5410/2849 is 1/1142449.

Greatest Common Factor of 1887,5410

To find the highest common factor of 1887,5410, we have to find the factors of both numbers and list the highest common factor.

The factors of 1887 are 1, 3, 17, 37, 51, 111, 629, 1887

The factors of 5410 are 1, 2, 5, 10, 541, 1082, 2705, 5410

The HCF of 1887,5410 is 1.

Lets's calculate GCF of 1887,5410

Greatest Common Factor (GCF) of 1887,5410 By Common Division

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

Greatest Common Factor of 1887,5410 By Matching Biggest Common Factor Method

Now, list down the factors of 1887

1,3,17,37,51,111,629,1887

Now, list down the factors of 5410

1,2,5,10,541,1082,2705,5410

Greatest Common Factor

We found the factors 1887,5410 . The biggest common factor number is the GCF number.
So the greatest common factor 1887,5410 is 1.

Lets's calculate LCM of 401,2849

Lowest Common Multiple of 401,2849 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1142449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1142449

Therefore, the GCF of Fractions 1887/401,5410/2849 is 1/1142449

Least Common Multiple of 401,2849 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 401,2849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,2849) = 1

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

GCF(401,2849) x common factors =1 x 1 = 1

LCM(401,2849) = ( 401 × 2849 ) / 1

LCM(401,2849) = 1142449 / 1

LCM(401,2849) = 1142449

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FAQs on GCF of Fractions of 1887/401, 5410/2849

1. What is the HCF of 1887,5410?

The HCF of 1887,5410 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 1887/401, 5410/2849?

Answer: GCF of Numerators as per given numbers 1887/401, 5410/2849 is

GCF of Numerators i.e. for 1887,5410 is 1

LCM of denominators i.e. for 401,2849 is 1142449.

Thus, GCF of Fractions is 1/1142449.Finally, GCF of Fractions for 1887/401, 5410/2849 is 1/1142449.