How to Find GCF of 1169/284, 3883/1808?

GCF of 1169/284, 3883/1808

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 1169/284, 3883/1808 i.e 1/128368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1169/284, 3883/1808.

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 1169/284,3883/1808?

Given fractions are 1169/284,3883/1808

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 1169/284,3883/1808, numerators are 1169,3883

Denominators are 284,1808

The GCF of 1169,3883 is 1 .

LCM of 284,1808 is 128368.

The greatest common factor of 1169/284,3883/1808 = [GCF of 1169,3883]/[LCM of 284,1808]= 1/128368

Therefore, the GCF of 1169/284,3883/1808 is 1/128368.

Greatest Common Factor of 1169,3883

To find the highest common factor of 1169,3883, we have to find the factors of both numbers and list the highest common factor.

The factors of 1169 are 1, 7, 167, 1169

The factors of 3883 are 1, 11, 353, 3883

The HCF of 1169,3883 is 1.

Lets's calculate GCF of 1169,3883

Greatest Common Factor (GCF) of 1169,3883 By Common Division

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

Greatest Common Factor of 1169,3883 By Matching Biggest Common Factor Method

Now, list down the factors of 1169

1,7,167,1169

Now, list down the factors of 3883

1,11,353,3883

Greatest Common Factor

We found the factors 1169,3883 . The biggest common factor number is the GCF number.
So the greatest common factor 1169,3883 is 1.

Lets's calculate LCM of 284,1808

Lowest Common Multiple of 284,1808 using Common Division

2	284, 1808
2	142, 904
	71, 452

∴ So the LCM of the given numbers is 2 x 2 x 71 x 452 = 128368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128368

Therefore, the GCF of Fractions 1169/284,3883/1808 is 1/128368

Least Common Multiple of 284,1808 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 284,1808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,1808) = 4

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

GCF(284,1808) x common factors =4 x 1 = 4

LCM(284,1808) = ( 284 × 1808 ) / 4

LCM(284,1808) = 513472 / 4

LCM(284,1808) = 128368

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1169/284, 3883/1808

1. What is the HCF of 1169,3883?

The HCF of 1169,3883 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 1169/284, 3883/1808?

Answer: GCF of Numerators as per given numbers 1169/284, 3883/1808 is

GCF of Numerators i.e. for 1169,3883 is 1

LCM of denominators i.e. for 284,1808 is 128368.

Thus, GCF of Fractions is 1/128368.Finally, GCF of Fractions for 1169/284, 3883/1808 is 1/128368.