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GCF of 423/934, 940/289

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 423/934, 940/289 i.e 47/269926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/934, 940/289.

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 423/934,940/289?

Given fractions are 423/934,940/289

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 423/934,940/289, numerators are 423,940

Denominators are 934,289

The GCF of 423,940 is 47 .

LCM of 934,289 is 269926.

The greatest common factor of 423/934,940/289 = [GCF of 423,940]/[LCM of 934,289]= 47/269926

Therefore, the GCF of 423/934,940/289 is 47/269926.

Greatest Common Factor of 423,940

To find the highest common factor of 423,940, we have to find the factors of both numbers and list the highest common factor.

The factors of 423 are 1, 3, 9, 47, 141, 423

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The HCF of 423,940 is 47.

Lets's calculate GCF of 423,940

Greatest Common Factor (GCF) of 423,940 By Common Division

47 423, 940
9, 20

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 423,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,940 By Matching Biggest Common Factor Method

Now, list down the factors of 423

:

1,3,9,47,141,423

Now, list down the factors of 940

:

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 423,940 . The biggest common factor number is the GCF number.
So the greatest common factor 423,940 is 47.

Lets's calculate LCM of 934,289

Lowest Common Multiple of 934,289 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 269926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/269926

Therefore, the GCF of Fractions 423/934,940/289 is 47/269926

Least Common Multiple of 934,289 with GCF Formula

Least Common Multiple of 934,289 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 934,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,289) = 1

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

GCF(934,289) x common factors =1 x 1 = 1

LCM(934,289) = ( 934 × 289 ) / 1

LCM(934,289) = 269926 / 1

LCM(934,289) = 269926


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FAQs on GCF of Fractions of 423/934, 940/289

1. What is the HCF of 423,940?

The HCF of 423,940 is 47

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 423/934, 940/289?

Answer: GCF of Numerators as per given numbers 423/934, 940/289 is

GCF of Numerators i.e. for 423,940 is 47

LCM of denominators i.e. for 934,289 is 269926.

Thus, GCF of Fractions is 47/269926.Finally, GCF of Fractions for 423/934, 940/289 is 47/269926.