How to Find GCF of 2711/694, 1521/1833?

GCF of 2711/694, 1521/1833

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 2711/694, 1521/1833 i.e 1/1272102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2711/694, 1521/1833.

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 2711/694,1521/1833?

Given fractions are 2711/694,1521/1833

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 2711/694,1521/1833, numerators are 2711,1521

Denominators are 694,1833

The GCF of 2711,1521 is 1 .

LCM of 694,1833 is 1272102.

The greatest common factor of 2711/694,1521/1833 = [GCF of 2711,1521]/[LCM of 694,1833]= 1/1272102

Therefore, the GCF of 2711/694,1521/1833 is 1/1272102.

Greatest Common Factor of 2711,1521

To find the highest common factor of 2711,1521, we have to find the factors of both numbers and list the highest common factor.

The factors of 2711 are 1, 2711

The factors of 1521 are 1, 3, 9, 13, 39, 117, 169, 507, 1521

The HCF of 2711,1521 is 1.

Lets's calculate GCF of 2711,1521

Greatest Common Factor (GCF) of 2711,1521 By Common Division

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

Greatest Common Factor of 2711,1521 By Matching Biggest Common Factor Method

Now, list down the factors of 2711

1,2711

Now, list down the factors of 1521

1,3,9,13,39,117,169,507,1521

Greatest Common Factor

We found the factors 2711,1521 . The biggest common factor number is the GCF number.
So the greatest common factor 2711,1521 is 1.

Lets's calculate LCM of 694,1833

Lowest Common Multiple of 694,1833 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1272102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1272102

Therefore, the GCF of Fractions 2711/694,1521/1833 is 1/1272102

Least Common Multiple of 694,1833 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 694,1833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,1833) = 1

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

GCF(694,1833) x common factors =1 x 1 = 1

LCM(694,1833) = ( 694 × 1833 ) / 1

LCM(694,1833) = 1272102 / 1

LCM(694,1833) = 1272102

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2711/694, 1521/1833

1. What is the HCF of 2711,1521?

The HCF of 2711,1521 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 2711/694, 1521/1833?

Answer: GCF of Numerators as per given numbers 2711/694, 1521/1833 is

GCF of Numerators i.e. for 2711,1521 is 1

LCM of denominators i.e. for 694,1833 is 1272102.

Thus, GCF of Fractions is 1/1272102.Finally, GCF of Fractions for 2711/694, 1521/1833 is 1/1272102.