How to Find GCF of 4171/773, 5489/205?

GCF of 4171/773, 5489/205

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 4171/773, 5489/205 i.e 1/158465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4171/773, 5489/205.

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 4171/773,5489/205?

Given fractions are 4171/773,5489/205

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 4171/773,5489/205, numerators are 4171,5489

Denominators are 773,205

The GCF of 4171,5489 is 1 .

LCM of 773,205 is 158465.

The greatest common factor of 4171/773,5489/205 = [GCF of 4171,5489]/[LCM of 773,205]= 1/158465

Therefore, the GCF of 4171/773,5489/205 is 1/158465.

Greatest Common Factor of 4171,5489

To find the highest common factor of 4171,5489, we have to find the factors of both numbers and list the highest common factor.

The factors of 4171 are 1, 43, 97, 4171

The factors of 5489 are 1, 11, 499, 5489

The HCF of 4171,5489 is 1.

Lets's calculate GCF of 4171,5489

Greatest Common Factor (GCF) of 4171,5489 By Common Division

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

Greatest Common Factor of 4171,5489 By Matching Biggest Common Factor Method

Now, list down the factors of 4171

1,43,97,4171

Now, list down the factors of 5489

1,11,499,5489

Greatest Common Factor

We found the factors 4171,5489 . The biggest common factor number is the GCF number.
So the greatest common factor 4171,5489 is 1.

Lets's calculate LCM of 773,205

Lowest Common Multiple of 773,205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 158465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158465

Therefore, the GCF of Fractions 4171/773,5489/205 is 1/158465

Least Common Multiple of 773,205 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 773,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,205) = 1

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

GCF(773,205) x common factors =1 x 1 = 1

LCM(773,205) = ( 773 × 205 ) / 1

LCM(773,205) = 158465 / 1

LCM(773,205) = 158465

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FAQs on GCF of Fractions of 4171/773, 5489/205

1. What is the HCF of 4171,5489?

The HCF of 4171,5489 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 4171/773, 5489/205?

Answer: GCF of Numerators as per given numbers 4171/773, 5489/205 is

GCF of Numerators i.e. for 4171,5489 is 1

LCM of denominators i.e. for 773,205 is 158465.

Thus, GCF of Fractions is 1/158465.Finally, GCF of Fractions for 4171/773, 5489/205 is 1/158465.