How to Find GCF of 1471/581, 2139/1164?

GCF of 1471/581, 2139/1164

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 1471/581, 2139/1164 i.e 1/676284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1471/581, 2139/1164.

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 1471/581,2139/1164?

Given fractions are 1471/581,2139/1164

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 1471/581,2139/1164, numerators are 1471,2139

Denominators are 581,1164

The GCF of 1471,2139 is 1 .

LCM of 581,1164 is 676284.

The greatest common factor of 1471/581,2139/1164 = [GCF of 1471,2139]/[LCM of 581,1164]= 1/676284

Therefore, the GCF of 1471/581,2139/1164 is 1/676284.

Greatest Common Factor of 1471,2139

To find the highest common factor of 1471,2139, we have to find the factors of both numbers and list the highest common factor.

The factors of 1471 are 1, 1471

The factors of 2139 are 1, 3, 23, 31, 69, 93, 713, 2139

The HCF of 1471,2139 is 1.

Lets's calculate GCF of 1471,2139

Greatest Common Factor (GCF) of 1471,2139 By Common Division

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

Greatest Common Factor of 1471,2139 By Matching Biggest Common Factor Method

Now, list down the factors of 1471

1,1471

Now, list down the factors of 2139

1,3,23,31,69,93,713,2139

Greatest Common Factor

We found the factors 1471,2139 . The biggest common factor number is the GCF number.
So the greatest common factor 1471,2139 is 1.

Lets's calculate LCM of 581,1164

Lowest Common Multiple of 581,1164 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 676284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/676284

Therefore, the GCF of Fractions 1471/581,2139/1164 is 1/676284

Least Common Multiple of 581,1164 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 581,1164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,1164) = 1

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

GCF(581,1164) x common factors =1 x 1 = 1

LCM(581,1164) = ( 581 × 1164 ) / 1

LCM(581,1164) = 676284 / 1

LCM(581,1164) = 676284

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FAQs on GCF of Fractions of 1471/581, 2139/1164

1. What is the HCF of 1471,2139?

The HCF of 1471,2139 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 1471/581, 2139/1164?

Answer: GCF of Numerators as per given numbers 1471/581, 2139/1164 is

GCF of Numerators i.e. for 1471,2139 is 1

LCM of denominators i.e. for 581,1164 is 676284.

Thus, GCF of Fractions is 1/676284.Finally, GCF of Fractions for 1471/581, 2139/1164 is 1/676284.