How to Find GCF of 183/384, 1690/328?

GCF of 183/384, 1690/328

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 183/384, 1690/328 i.e 1/15744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 183/384, 1690/328.

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 183/384,1690/328?

Given fractions are 183/384,1690/328

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 183/384,1690/328, numerators are 183,1690

Denominators are 384,328

The GCF of 183,1690 is 1 .

LCM of 384,328 is 15744.

The greatest common factor of 183/384,1690/328 = [GCF of 183,1690]/[LCM of 384,328]= 1/15744

Therefore, the GCF of 183/384,1690/328 is 1/15744.

Greatest Common Factor of 183,1690

To find the highest common factor of 183,1690, we have to find the factors of both numbers and list the highest common factor.

The factors of 183 are 1, 3, 61, 183

The factors of 1690 are 1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690

The HCF of 183,1690 is 1.

Lets's calculate GCF of 183,1690

Greatest Common Factor (GCF) of 183,1690 By Common Division

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

Greatest Common Factor of 183,1690 By Matching Biggest Common Factor Method

Now, list down the factors of 183

1,3,61,183

Now, list down the factors of 1690

1,2,5,10,13,26,65,130,169,338,845,1690

Greatest Common Factor

We found the factors 183,1690 . The biggest common factor number is the GCF number.
So the greatest common factor 183,1690 is 1.

Lets's calculate LCM of 384,328

Lowest Common Multiple of 384,328 using Common Division

2	384, 328
2	192, 164
2	96, 82
	48, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 48 x 41 = 15744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15744

Therefore, the GCF of Fractions 183/384,1690/328 is 1/15744

Least Common Multiple of 384,328 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 384,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,328) = 8

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

GCF(384,328) x common factors =8 x 1 = 8

LCM(384,328) = ( 384 × 328 ) / 8

LCM(384,328) = 125952 / 8

LCM(384,328) = 15744

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FAQs on GCF of Fractions of 183/384, 1690/328

1. What is the HCF of 183,1690?

The HCF of 183,1690 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 183/384, 1690/328?

Answer: GCF of Numerators as per given numbers 183/384, 1690/328 is

GCF of Numerators i.e. for 183,1690 is 1

LCM of denominators i.e. for 384,328 is 15744.

Thus, GCF of Fractions is 1/15744.Finally, GCF of Fractions for 183/384, 1690/328 is 1/15744.