How to Find GCF of 1884/423, 2791/739?

GCF of 1884/423, 2791/739

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 1884/423, 2791/739 i.e 1/312597 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1884/423, 2791/739.

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 1884/423,2791/739?

Given fractions are 1884/423,2791/739

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 1884/423,2791/739, numerators are 1884,2791

Denominators are 423,739

The GCF of 1884,2791 is 1 .

LCM of 423,739 is 312597.

The greatest common factor of 1884/423,2791/739 = [GCF of 1884,2791]/[LCM of 423,739]= 1/312597

Therefore, the GCF of 1884/423,2791/739 is 1/312597.

Greatest Common Factor of 1884,2791

To find the highest common factor of 1884,2791, we have to find the factors of both numbers and list the highest common factor.

The factors of 1884 are 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884

The factors of 2791 are 1, 2791

The HCF of 1884,2791 is 1.

Lets's calculate GCF of 1884,2791

Greatest Common Factor (GCF) of 1884,2791 By Common Division

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

Greatest Common Factor of 1884,2791 By Matching Biggest Common Factor Method

Now, list down the factors of 1884

1,2,3,4,6,12,157,314,471,628,942,1884

Now, list down the factors of 2791

1,2791

Greatest Common Factor

We found the factors 1884,2791 . The biggest common factor number is the GCF number.
So the greatest common factor 1884,2791 is 1.

Lets's calculate LCM of 423,739

Lowest Common Multiple of 423,739 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 312597

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312597

Therefore, the GCF of Fractions 1884/423,2791/739 is 1/312597

Least Common Multiple of 423,739 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 423,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,739) = 1

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

GCF(423,739) x common factors =1 x 1 = 1

LCM(423,739) = ( 423 × 739 ) / 1

LCM(423,739) = 312597 / 1

LCM(423,739) = 312597

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1884/423, 2791/739

1. What is the HCF of 1884,2791?

The HCF of 1884,2791 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 1884/423, 2791/739?

Answer: GCF of Numerators as per given numbers 1884/423, 2791/739 is

GCF of Numerators i.e. for 1884,2791 is 1

LCM of denominators i.e. for 423,739 is 312597.

Thus, GCF of Fractions is 1/312597.Finally, GCF of Fractions for 1884/423, 2791/739 is 1/312597.