How to Find GCF of 1871/233, 8023/5709?

GCF of 1871/233, 8023/5709

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 1871/233, 8023/5709 i.e 1/1330197 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1871/233, 8023/5709.

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 1871/233,8023/5709?

Given fractions are 1871/233,8023/5709

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 1871/233,8023/5709, numerators are 1871,8023

Denominators are 233,5709

The GCF of 1871,8023 is 1 .

LCM of 233,5709 is 1330197.

The greatest common factor of 1871/233,8023/5709 = [GCF of 1871,8023]/[LCM of 233,5709]= 1/1330197

Therefore, the GCF of 1871/233,8023/5709 is 1/1330197.

Greatest Common Factor of 1871,8023

To find the highest common factor of 1871,8023, we have to find the factors of both numbers and list the highest common factor.

The factors of 1871 are 1, 1871

The factors of 8023 are 1, 71, 113, 8023

The HCF of 1871,8023 is 1.

Lets's calculate GCF of 1871,8023

Greatest Common Factor (GCF) of 1871,8023 By Common Division

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

Greatest Common Factor of 1871,8023 By Matching Biggest Common Factor Method

Now, list down the factors of 1871

1,1871

Now, list down the factors of 8023

1,71,113,8023

Greatest Common Factor

We found the factors 1871,8023 . The biggest common factor number is the GCF number.
So the greatest common factor 1871,8023 is 1.

Lets's calculate LCM of 233,5709

Lowest Common Multiple of 233,5709 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1330197

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1330197

Therefore, the GCF of Fractions 1871/233,8023/5709 is 1/1330197

Least Common Multiple of 233,5709 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 233,5709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,5709) = 1

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

GCF(233,5709) x common factors =1 x 1 = 1

LCM(233,5709) = ( 233 × 5709 ) / 1

LCM(233,5709) = 1330197 / 1

LCM(233,5709) = 1330197

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FAQs on GCF of Fractions of 1871/233, 8023/5709

1. What is the HCF of 1871,8023?

The HCF of 1871,8023 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 1871/233, 8023/5709?

Answer: GCF of Numerators as per given numbers 1871/233, 8023/5709 is

GCF of Numerators i.e. for 1871,8023 is 1

LCM of denominators i.e. for 233,5709 is 1330197.

Thus, GCF of Fractions is 1/1330197.Finally, GCF of Fractions for 1871/233, 8023/5709 is 1/1330197.