How to Find GCF of 3569/173, 9485/6034?

GCF of 3569/173, 9485/6034

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 3569/173, 9485/6034 i.e 1/1043882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3569/173, 9485/6034.

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 3569/173,9485/6034?

Given fractions are 3569/173,9485/6034

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 3569/173,9485/6034, numerators are 3569,9485

Denominators are 173,6034

The GCF of 3569,9485 is 1 .

LCM of 173,6034 is 1043882.

The greatest common factor of 3569/173,9485/6034 = [GCF of 3569,9485]/[LCM of 173,6034]= 1/1043882

Therefore, the GCF of 3569/173,9485/6034 is 1/1043882.

Greatest Common Factor of 3569,9485

To find the highest common factor of 3569,9485, we have to find the factors of both numbers and list the highest common factor.

The factors of 3569 are 1, 43, 83, 3569

The factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485

The HCF of 3569,9485 is 1.

Lets's calculate GCF of 3569,9485

Greatest Common Factor (GCF) of 3569,9485 By Common Division

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

Greatest Common Factor of 3569,9485 By Matching Biggest Common Factor Method

Now, list down the factors of 3569

1,43,83,3569

Now, list down the factors of 9485

1,5,7,35,271,1355,1897,9485

Greatest Common Factor

We found the factors 3569,9485 . The biggest common factor number is the GCF number.
So the greatest common factor 3569,9485 is 1.

Lets's calculate LCM of 173,6034

Lowest Common Multiple of 173,6034 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1043882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1043882

Therefore, the GCF of Fractions 3569/173,9485/6034 is 1/1043882

Least Common Multiple of 173,6034 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 173,6034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,6034) = 1

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

GCF(173,6034) x common factors =1 x 1 = 1

LCM(173,6034) = ( 173 × 6034 ) / 1

LCM(173,6034) = 1043882 / 1

LCM(173,6034) = 1043882

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FAQs on GCF of Fractions of 3569/173, 9485/6034

1. What is the HCF of 3569,9485?

The HCF of 3569,9485 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 3569/173, 9485/6034?

Answer: GCF of Numerators as per given numbers 3569/173, 9485/6034 is

GCF of Numerators i.e. for 3569,9485 is 1

LCM of denominators i.e. for 173,6034 is 1043882.

Thus, GCF of Fractions is 1/1043882.Finally, GCF of Fractions for 3569/173, 9485/6034 is 1/1043882.