How to Find GCF of 2999/550, 3797/6883?

GCF of 2999/550, 3797/6883

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 2999/550, 3797/6883 i.e 1/3785650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2999/550, 3797/6883.

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 2999/550,3797/6883?

Given fractions are 2999/550,3797/6883

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 2999/550,3797/6883, numerators are 2999,3797

Denominators are 550,6883

The GCF of 2999,3797 is 1 .

LCM of 550,6883 is 3785650.

The greatest common factor of 2999/550,3797/6883 = [GCF of 2999,3797]/[LCM of 550,6883]= 1/3785650

Therefore, the GCF of 2999/550,3797/6883 is 1/3785650.

Greatest Common Factor of 2999,3797

To find the highest common factor of 2999,3797, we have to find the factors of both numbers and list the highest common factor.

The factors of 2999 are 1, 2999

The factors of 3797 are 1, 3797

The HCF of 2999,3797 is 1.

Lets's calculate GCF of 2999,3797

Greatest Common Factor (GCF) of 2999,3797 By Common Division

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

Greatest Common Factor of 2999,3797 By Matching Biggest Common Factor Method

Now, list down the factors of 2999

1,2999

Now, list down the factors of 3797

1,3797

Greatest Common Factor

We found the factors 2999,3797 . The biggest common factor number is the GCF number.
So the greatest common factor 2999,3797 is 1.

Lets's calculate LCM of 550,6883

Lowest Common Multiple of 550,6883 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3785650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3785650

Therefore, the GCF of Fractions 2999/550,3797/6883 is 1/3785650

Least Common Multiple of 550,6883 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 550,6883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,6883) = 1

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

GCF(550,6883) x common factors =1 x 1 = 1

LCM(550,6883) = ( 550 × 6883 ) / 1

LCM(550,6883) = 3785650 / 1

LCM(550,6883) = 3785650

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2999/550, 3797/6883

1. What is the HCF of 2999,3797?

The HCF of 2999,3797 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 2999/550, 3797/6883?

Answer: GCF of Numerators as per given numbers 2999/550, 3797/6883 is

GCF of Numerators i.e. for 2999,3797 is 1

LCM of denominators i.e. for 550,6883 is 3785650.

Thus, GCF of Fractions is 1/3785650.Finally, GCF of Fractions for 2999/550, 3797/6883 is 1/3785650.