How to Find GCF of 1351/205, 3733/8649?

GCF of 1351/205, 3733/8649

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 1351/205, 3733/8649 i.e 1/1773045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1351/205, 3733/8649.

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 1351/205,3733/8649?

Given fractions are 1351/205,3733/8649

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 1351/205,3733/8649, numerators are 1351,3733

Denominators are 205,8649

The GCF of 1351,3733 is 1 .

LCM of 205,8649 is 1773045.

The greatest common factor of 1351/205,3733/8649 = [GCF of 1351,3733]/[LCM of 205,8649]= 1/1773045

Therefore, the GCF of 1351/205,3733/8649 is 1/1773045.

Greatest Common Factor of 1351,3733

To find the highest common factor of 1351,3733, we have to find the factors of both numbers and list the highest common factor.

The factors of 1351 are 1, 7, 193, 1351

The factors of 3733 are 1, 3733

The HCF of 1351,3733 is 1.

Lets's calculate GCF of 1351,3733

Greatest Common Factor (GCF) of 1351,3733 By Common Division

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

Greatest Common Factor of 1351,3733 By Matching Biggest Common Factor Method

Now, list down the factors of 1351

1,7,193,1351

Now, list down the factors of 3733

1,3733

Greatest Common Factor

We found the factors 1351,3733 . The biggest common factor number is the GCF number.
So the greatest common factor 1351,3733 is 1.

Lets's calculate LCM of 205,8649

Lowest Common Multiple of 205,8649 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1773045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1773045

Therefore, the GCF of Fractions 1351/205,3733/8649 is 1/1773045

Least Common Multiple of 205,8649 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 205,8649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,8649) = 1

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

GCF(205,8649) x common factors =1 x 1 = 1

LCM(205,8649) = ( 205 × 8649 ) / 1

LCM(205,8649) = 1773045 / 1

LCM(205,8649) = 1773045

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FAQs on GCF of Fractions of 1351/205, 3733/8649

1. What is the HCF of 1351,3733?

The HCF of 1351,3733 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 1351/205, 3733/8649?

Answer: GCF of Numerators as per given numbers 1351/205, 3733/8649 is

GCF of Numerators i.e. for 1351,3733 is 1

LCM of denominators i.e. for 205,8649 is 1773045.

Thus, GCF of Fractions is 1/1773045.Finally, GCF of Fractions for 1351/205, 3733/8649 is 1/1773045.