How to Find GCF of 3185/997, 6583/1833?

GCF of 3185/997, 6583/1833

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 3185/997, 6583/1833 i.e 1/1827501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3185/997, 6583/1833.

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 3185/997,6583/1833?

Given fractions are 3185/997,6583/1833

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 3185/997,6583/1833, numerators are 3185,6583

Denominators are 997,1833

The GCF of 3185,6583 is 1 .

LCM of 997,1833 is 1827501.

The greatest common factor of 3185/997,6583/1833 = [GCF of 3185,6583]/[LCM of 997,1833]= 1/1827501

Therefore, the GCF of 3185/997,6583/1833 is 1/1827501.

Greatest Common Factor of 3185,6583

To find the highest common factor of 3185,6583, we have to find the factors of both numbers and list the highest common factor.

The factors of 3185 are 1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185

The factors of 6583 are 1, 29, 227, 6583

The HCF of 3185,6583 is 1.

Lets's calculate GCF of 3185,6583

Greatest Common Factor (GCF) of 3185,6583 By Common Division

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

Greatest Common Factor of 3185,6583 By Matching Biggest Common Factor Method

Now, list down the factors of 3185

1,5,7,13,35,49,65,91,245,455,637,3185

Now, list down the factors of 6583

1,29,227,6583

Greatest Common Factor

We found the factors 3185,6583 . The biggest common factor number is the GCF number.
So the greatest common factor 3185,6583 is 1.

Lets's calculate LCM of 997,1833

Lowest Common Multiple of 997,1833 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1827501

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1827501

Therefore, the GCF of Fractions 3185/997,6583/1833 is 1/1827501

Least Common Multiple of 997,1833 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 997,1833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,1833) = 1

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

GCF(997,1833) x common factors =1 x 1 = 1

LCM(997,1833) = ( 997 × 1833 ) / 1

LCM(997,1833) = 1827501 / 1

LCM(997,1833) = 1827501

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FAQs on GCF of Fractions of 3185/997, 6583/1833

1. What is the HCF of 3185,6583?

The HCF of 3185,6583 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 3185/997, 6583/1833?

Answer: GCF of Numerators as per given numbers 3185/997, 6583/1833 is

GCF of Numerators i.e. for 3185,6583 is 1

LCM of denominators i.e. for 997,1833 is 1827501.

Thus, GCF of Fractions is 1/1827501.Finally, GCF of Fractions for 3185/997, 6583/1833 is 1/1827501.