How to Find GCF of 3294/188, 3829/940?

GCF of 3294/188, 3829/940

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 3294/188, 3829/940 i.e 1/940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3294/188, 3829/940.

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 3294/188,3829/940?

Given fractions are 3294/188,3829/940

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 3294/188,3829/940, numerators are 3294,3829

Denominators are 188,940

The GCF of 3294,3829 is 1 .

LCM of 188,940 is 940.

The greatest common factor of 3294/188,3829/940 = [GCF of 3294,3829]/[LCM of 188,940]= 1/940

Therefore, the GCF of 3294/188,3829/940 is 1/940.

Greatest Common Factor of 3294,3829

To find the highest common factor of 3294,3829, we have to find the factors of both numbers and list the highest common factor.

The factors of 3294 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294

The factors of 3829 are 1, 7, 547, 3829

The HCF of 3294,3829 is 1.

Lets's calculate GCF of 3294,3829

Greatest Common Factor (GCF) of 3294,3829 By Common Division

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

Greatest Common Factor of 3294,3829 By Matching Biggest Common Factor Method

Now, list down the factors of 3294

1,2,3,6,9,18,27,54,61,122,183,366,549,1098,1647,3294

Now, list down the factors of 3829

1,7,547,3829

Greatest Common Factor

We found the factors 3294,3829 . The biggest common factor number is the GCF number.
So the greatest common factor 3294,3829 is 1.

Lets's calculate LCM of 188,940

Lowest Common Multiple of 188,940 using Common Division

2	188, 940
2	94, 470
47	47, 235
	1, 5

∴ So the LCM of the given numbers is 2 x 2 x 47 x 1 x 5 = 940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/940

Therefore, the GCF of Fractions 3294/188,3829/940 is 1/940

Least Common Multiple of 188,940 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 188,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,940) = 188

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

GCF(188,940) x common factors =188 x 1 = 188

LCM(188,940) = ( 188 × 940 ) / 188

LCM(188,940) = 176720 / 188

LCM(188,940) = 940

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FAQs on GCF of Fractions of 3294/188, 3829/940

1. What is the HCF of 3294,3829?

The HCF of 3294,3829 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 3294/188, 3829/940?

Answer: GCF of Numerators as per given numbers 3294/188, 3829/940 is

GCF of Numerators i.e. for 3294,3829 is 1

LCM of denominators i.e. for 188,940 is 940.

Thus, GCF of Fractions is 1/940.Finally, GCF of Fractions for 3294/188, 3829/940 is 1/940.