How to Find GCF of 2043/171, 3949/3617?

GCF of 2043/171, 3949/3617

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 2043/171, 3949/3617 i.e 1/618507 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2043/171, 3949/3617.

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 2043/171,3949/3617?

Given fractions are 2043/171,3949/3617

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 2043/171,3949/3617, numerators are 2043,3949

Denominators are 171,3617

The GCF of 2043,3949 is 1 .

LCM of 171,3617 is 618507.

The greatest common factor of 2043/171,3949/3617 = [GCF of 2043,3949]/[LCM of 171,3617]= 1/618507

Therefore, the GCF of 2043/171,3949/3617 is 1/618507.

Greatest Common Factor of 2043,3949

To find the highest common factor of 2043,3949, we have to find the factors of both numbers and list the highest common factor.

The factors of 2043 are 1, 3, 9, 227, 681, 2043

The factors of 3949 are 1, 11, 359, 3949

The HCF of 2043,3949 is 1.

Lets's calculate GCF of 2043,3949

Greatest Common Factor (GCF) of 2043,3949 By Common Division

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

Greatest Common Factor of 2043,3949 By Matching Biggest Common Factor Method

Now, list down the factors of 2043

1,3,9,227,681,2043

Now, list down the factors of 3949

1,11,359,3949

Greatest Common Factor

We found the factors 2043,3949 . The biggest common factor number is the GCF number.
So the greatest common factor 2043,3949 is 1.

Lets's calculate LCM of 171,3617

Lowest Common Multiple of 171,3617 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 618507

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618507

Therefore, the GCF of Fractions 2043/171,3949/3617 is 1/618507

Least Common Multiple of 171,3617 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 171,3617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,3617) = 1

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

GCF(171,3617) x common factors =1 x 1 = 1

LCM(171,3617) = ( 171 × 3617 ) / 1

LCM(171,3617) = 618507 / 1

LCM(171,3617) = 618507

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FAQs on GCF of Fractions of 2043/171, 3949/3617

1. What is the HCF of 2043,3949?

The HCF of 2043,3949 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 2043/171, 3949/3617?

Answer: GCF of Numerators as per given numbers 2043/171, 3949/3617 is

GCF of Numerators i.e. for 2043,3949 is 1

LCM of denominators i.e. for 171,3617 is 618507.

Thus, GCF of Fractions is 1/618507.Finally, GCF of Fractions for 2043/171, 3949/3617 is 1/618507.