How to Find GCF of 5578/253, 1185/3351?

GCF of 5578/253, 1185/3351

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 5578/253, 1185/3351 i.e 1/847803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5578/253, 1185/3351.

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 5578/253,1185/3351?

Given fractions are 5578/253,1185/3351

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 5578/253,1185/3351, numerators are 5578,1185

Denominators are 253,3351

The GCF of 5578,1185 is 1 .

LCM of 253,3351 is 847803.

The greatest common factor of 5578/253,1185/3351 = [GCF of 5578,1185]/[LCM of 253,3351]= 1/847803

Therefore, the GCF of 5578/253,1185/3351 is 1/847803.

Greatest Common Factor of 5578,1185

To find the highest common factor of 5578,1185, we have to find the factors of both numbers and list the highest common factor.

The factors of 5578 are 1, 2, 2789, 5578

The factors of 1185 are 1, 3, 5, 15, 79, 237, 395, 1185

The HCF of 5578,1185 is 1.

Lets's calculate GCF of 5578,1185

Greatest Common Factor (GCF) of 5578,1185 By Common Division

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

Greatest Common Factor of 5578,1185 By Matching Biggest Common Factor Method

Now, list down the factors of 5578

1,2,2789,5578

Now, list down the factors of 1185

1,3,5,15,79,237,395,1185

Greatest Common Factor

We found the factors 5578,1185 . The biggest common factor number is the GCF number.
So the greatest common factor 5578,1185 is 1.

Lets's calculate LCM of 253,3351

Lowest Common Multiple of 253,3351 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 847803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/847803

Therefore, the GCF of Fractions 5578/253,1185/3351 is 1/847803

Least Common Multiple of 253,3351 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 253,3351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,3351) = 1

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

GCF(253,3351) x common factors =1 x 1 = 1

LCM(253,3351) = ( 253 × 3351 ) / 1

LCM(253,3351) = 847803 / 1

LCM(253,3351) = 847803

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5578/253, 1185/3351

1. What is the HCF of 5578,1185?

The HCF of 5578,1185 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 5578/253, 1185/3351?

Answer: GCF of Numerators as per given numbers 5578/253, 1185/3351 is

GCF of Numerators i.e. for 5578,1185 is 1

LCM of denominators i.e. for 253,3351 is 847803.

Thus, GCF of Fractions is 1/847803.Finally, GCF of Fractions for 5578/253, 1185/3351 is 1/847803.