How to Find GCF of 8251/511, 2171/2329?

GCF of 8251/511, 2171/2329

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 8251/511, 2171/2329 i.e 1/1190119 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8251/511, 2171/2329.

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 8251/511,2171/2329?

Given fractions are 8251/511,2171/2329

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 8251/511,2171/2329, numerators are 8251,2171

Denominators are 511,2329

The GCF of 8251,2171 is 1 .

LCM of 511,2329 is 1190119.

The greatest common factor of 8251/511,2171/2329 = [GCF of 8251,2171]/[LCM of 511,2329]= 1/1190119

Therefore, the GCF of 8251/511,2171/2329 is 1/1190119.

Greatest Common Factor of 8251,2171

To find the highest common factor of 8251,2171, we have to find the factors of both numbers and list the highest common factor.

The factors of 8251 are 1, 37, 223, 8251

The factors of 2171 are 1, 13, 167, 2171

The HCF of 8251,2171 is 1.

Lets's calculate GCF of 8251,2171

Greatest Common Factor (GCF) of 8251,2171 By Common Division

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

Greatest Common Factor of 8251,2171 By Matching Biggest Common Factor Method

Now, list down the factors of 8251

1,37,223,8251

Now, list down the factors of 2171

1,13,167,2171

Greatest Common Factor

We found the factors 8251,2171 . The biggest common factor number is the GCF number.
So the greatest common factor 8251,2171 is 1.

Lets's calculate LCM of 511,2329

Lowest Common Multiple of 511,2329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1190119

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1190119

Therefore, the GCF of Fractions 8251/511,2171/2329 is 1/1190119

Least Common Multiple of 511,2329 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 511,2329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,2329) = 1

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

GCF(511,2329) x common factors =1 x 1 = 1

LCM(511,2329) = ( 511 × 2329 ) / 1

LCM(511,2329) = 1190119 / 1

LCM(511,2329) = 1190119

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FAQs on GCF of Fractions of 8251/511, 2171/2329

1. What is the HCF of 8251,2171?

The HCF of 8251,2171 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 8251/511, 2171/2329?

Answer: GCF of Numerators as per given numbers 8251/511, 2171/2329 is

GCF of Numerators i.e. for 8251,2171 is 1

LCM of denominators i.e. for 511,2329 is 1190119.

Thus, GCF of Fractions is 1/1190119.Finally, GCF of Fractions for 8251/511, 2171/2329 is 1/1190119.