How to Find GCF of 2813/330, 4969/3577?

GCF of 2813/330, 4969/3577

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 2813/330, 4969/3577 i.e 1/1180410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2813/330, 4969/3577.

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 2813/330,4969/3577?

Given fractions are 2813/330,4969/3577

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 2813/330,4969/3577, numerators are 2813,4969

Denominators are 330,3577

The GCF of 2813,4969 is 1 .

LCM of 330,3577 is 1180410.

The greatest common factor of 2813/330,4969/3577 = [GCF of 2813,4969]/[LCM of 330,3577]= 1/1180410

Therefore, the GCF of 2813/330,4969/3577 is 1/1180410.

Greatest Common Factor of 2813,4969

To find the highest common factor of 2813,4969, we have to find the factors of both numbers and list the highest common factor.

The factors of 2813 are 1, 29, 97, 2813

The factors of 4969 are 1, 4969

The HCF of 2813,4969 is 1.

Lets's calculate GCF of 2813,4969

Greatest Common Factor (GCF) of 2813,4969 By Common Division

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

Greatest Common Factor of 2813,4969 By Matching Biggest Common Factor Method

Now, list down the factors of 2813

1,29,97,2813

Now, list down the factors of 4969

1,4969

Greatest Common Factor

We found the factors 2813,4969 . The biggest common factor number is the GCF number.
So the greatest common factor 2813,4969 is 1.

Lets's calculate LCM of 330,3577

Lowest Common Multiple of 330,3577 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1180410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1180410

Therefore, the GCF of Fractions 2813/330,4969/3577 is 1/1180410

Least Common Multiple of 330,3577 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 330,3577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,3577) = 1

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

GCF(330,3577) x common factors =1 x 1 = 1

LCM(330,3577) = ( 330 × 3577 ) / 1

LCM(330,3577) = 1180410 / 1

LCM(330,3577) = 1180410

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2813/330, 4969/3577

1. What is the HCF of 2813,4969?

The HCF of 2813,4969 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 2813/330, 4969/3577?

Answer: GCF of Numerators as per given numbers 2813/330, 4969/3577 is

GCF of Numerators i.e. for 2813,4969 is 1

LCM of denominators i.e. for 330,3577 is 1180410.

Thus, GCF of Fractions is 1/1180410.Finally, GCF of Fractions for 2813/330, 4969/3577 is 1/1180410.