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GCF of 8204/354, 2293/188

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 8204/354, 2293/188 i.e 1/33276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8204/354, 2293/188.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8204/354,2293/188?

Given fractions are 8204/354,2293/188

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 8204/354,2293/188, numerators are 8204,2293

Denominators are 354,188

The GCF of 8204,2293 is 1 .

LCM of 354,188 is 33276.

The greatest common factor of 8204/354,2293/188 = [GCF of 8204,2293]/[LCM of 354,188]= 1/33276

Therefore, the GCF of 8204/354,2293/188 is 1/33276.

Greatest Common Factor of 8204,2293

To find the highest common factor of 8204,2293, we have to find the factors of both numbers and list the highest common factor.

The factors of 8204 are 1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204

The factors of 2293 are 1, 2293

The HCF of 8204,2293 is 1.

Lets's calculate GCF of 8204,2293

Greatest Common Factor (GCF) of 8204,2293 By Common Division

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

Greatest Common Factor of 8204,2293 By Matching Biggest Common Factor Method

Greatest Common Factor of 8204,2293 By Matching Biggest Common Factor Method

Now, list down the factors of 8204

:

1,2,4,7,14,28,293,586,1172,2051,4102,8204

Now, list down the factors of 2293

:

1,2293

Greatest Common Factor

We found the factors 8204,2293 . The biggest common factor number is the GCF number.
So the greatest common factor 8204,2293 is 1.

Lets's calculate LCM of 354,188

Lowest Common Multiple of 354,188 using Common Division

2 354, 188
177, 94

∴ So the LCM of the given numbers is 2 x 177 x 94 = 33276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33276

Therefore, the GCF of Fractions 8204/354,2293/188 is 1/33276

Least Common Multiple of 354,188 with GCF Formula

Least Common Multiple of 354,188 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 354,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,188) = 2

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

GCF(354,188) x common factors =2 x 1 = 2

LCM(354,188) = ( 354 × 188 ) / 2

LCM(354,188) = 66552 / 2

LCM(354,188) = 33276


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FAQs on GCF of Fractions of 8204/354, 2293/188

1. What is the HCF of 8204,2293?

The HCF of 8204,2293 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 8204/354, 2293/188?

Answer: GCF of Numerators as per given numbers 8204/354, 2293/188 is

GCF of Numerators i.e. for 8204,2293 is 1

LCM of denominators i.e. for 354,188 is 33276.

Thus, GCF of Fractions is 1/33276.Finally, GCF of Fractions for 8204/354, 2293/188 is 1/33276.