How to Find GCF of 6883/270, 5171/6569?

GCF of 6883/270, 5171/6569

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 6883/270, 5171/6569 i.e 1/1773630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6883/270, 5171/6569.

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 6883/270,5171/6569?

Given fractions are 6883/270,5171/6569

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 6883/270,5171/6569, numerators are 6883,5171

Denominators are 270,6569

The GCF of 6883,5171 is 1 .

LCM of 270,6569 is 1773630.

The greatest common factor of 6883/270,5171/6569 = [GCF of 6883,5171]/[LCM of 270,6569]= 1/1773630

Therefore, the GCF of 6883/270,5171/6569 is 1/1773630.

Greatest Common Factor of 6883,5171

To find the highest common factor of 6883,5171, we have to find the factors of both numbers and list the highest common factor.

The factors of 6883 are 1, 6883

The factors of 5171 are 1, 5171

The HCF of 6883,5171 is 1.

Lets's calculate GCF of 6883,5171

Greatest Common Factor (GCF) of 6883,5171 By Common Division

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

Greatest Common Factor of 6883,5171 By Matching Biggest Common Factor Method

Now, list down the factors of 6883

1,6883

Now, list down the factors of 5171

1,5171

Greatest Common Factor

We found the factors 6883,5171 . The biggest common factor number is the GCF number.
So the greatest common factor 6883,5171 is 1.

Lets's calculate LCM of 270,6569

Lowest Common Multiple of 270,6569 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1773630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1773630

Therefore, the GCF of Fractions 6883/270,5171/6569 is 1/1773630

Least Common Multiple of 270,6569 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 270,6569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,6569) = 1

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

GCF(270,6569) x common factors =1 x 1 = 1

LCM(270,6569) = ( 270 × 6569 ) / 1

LCM(270,6569) = 1773630 / 1

LCM(270,6569) = 1773630

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FAQs on GCF of Fractions of 6883/270, 5171/6569

1. What is the HCF of 6883,5171?

The HCF of 6883,5171 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 6883/270, 5171/6569?

Answer: GCF of Numerators as per given numbers 6883/270, 5171/6569 is

GCF of Numerators i.e. for 6883,5171 is 1

LCM of denominators i.e. for 270,6569 is 1773630.

Thus, GCF of Fractions is 1/1773630.Finally, GCF of Fractions for 6883/270, 5171/6569 is 1/1773630.