How to Find GCF of 5884/469, 1731/897?

GCF of 5884/469, 1731/897

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 5884/469, 1731/897 i.e 1/420693 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5884/469, 1731/897.

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 5884/469,1731/897?

Given fractions are 5884/469,1731/897

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 5884/469,1731/897, numerators are 5884,1731

Denominators are 469,897

The GCF of 5884,1731 is 1 .

LCM of 469,897 is 420693.

The greatest common factor of 5884/469,1731/897 = [GCF of 5884,1731]/[LCM of 469,897]= 1/420693

Therefore, the GCF of 5884/469,1731/897 is 1/420693.

Greatest Common Factor of 5884,1731

To find the highest common factor of 5884,1731, we have to find the factors of both numbers and list the highest common factor.

The factors of 5884 are 1, 2, 4, 1471, 2942, 5884

The factors of 1731 are 1, 3, 577, 1731

The HCF of 5884,1731 is 1.

Lets's calculate GCF of 5884,1731

Greatest Common Factor (GCF) of 5884,1731 By Common Division

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

Greatest Common Factor of 5884,1731 By Matching Biggest Common Factor Method

Now, list down the factors of 5884

1,2,4,1471,2942,5884

Now, list down the factors of 1731

1,3,577,1731

Greatest Common Factor

We found the factors 5884,1731 . The biggest common factor number is the GCF number.
So the greatest common factor 5884,1731 is 1.

Lets's calculate LCM of 469,897

Lowest Common Multiple of 469,897 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 420693

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420693

Therefore, the GCF of Fractions 5884/469,1731/897 is 1/420693

Least Common Multiple of 469,897 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 469,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,897) = 1

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

GCF(469,897) x common factors =1 x 1 = 1

LCM(469,897) = ( 469 × 897 ) / 1

LCM(469,897) = 420693 / 1

LCM(469,897) = 420693

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FAQs on GCF of Fractions of 5884/469, 1731/897

1. What is the HCF of 5884,1731?

The HCF of 5884,1731 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 5884/469, 1731/897?

Answer: GCF of Numerators as per given numbers 5884/469, 1731/897 is

GCF of Numerators i.e. for 5884,1731 is 1

LCM of denominators i.e. for 469,897 is 420693.

Thus, GCF of Fractions is 1/420693.Finally, GCF of Fractions for 5884/469, 1731/897 is 1/420693.