How to Find GCF of 940/923, 404/571?

GCF of 940/923, 404/571

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 940/923, 404/571 i.e 4/527033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/923, 404/571.

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 940/923,404/571?

Given fractions are 940/923,404/571

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 940/923,404/571, numerators are 940,404

Denominators are 923,571

The GCF of 940,404 is 4 .

LCM of 923,571 is 527033.

The greatest common factor of 940/923,404/571 = [GCF of 940,404]/[LCM of 923,571]= 4/527033

Therefore, the GCF of 940/923,404/571 is 4/527033.

Greatest Common Factor of 940,404

To find the highest common factor of 940,404, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 404 are 1, 2, 4, 101, 202, 404

The HCF of 940,404 is 4.

Lets's calculate GCF of 940,404

Greatest Common Factor (GCF) of 940,404 By Common Division

2	940, 404
2	470, 202
	235, 101

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 940,404 By Matching Biggest Common Factor Method

Now, list down the factors of 940

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

Now, list down the factors of 404

1,2,4,101,202,404

Greatest Common Factor

We found the factors 940,404 . The biggest common factor number is the GCF number.
So the greatest common factor 940,404 is 4.

Lets's calculate LCM of 923,571

Lowest Common Multiple of 923,571 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 527033

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/527033

Therefore, the GCF of Fractions 940/923,404/571 is 4/527033

Least Common Multiple of 923,571 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 923,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,571) = 1

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

GCF(923,571) x common factors =1 x 1 = 1

LCM(923,571) = ( 923 × 571 ) / 1

LCM(923,571) = 527033 / 1

LCM(923,571) = 527033

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FAQs on GCF of Fractions of 940/923, 404/571

1. What is the HCF of 940,404?

The HCF of 940,404 is 4

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 940/923, 404/571?

Answer: GCF of Numerators as per given numbers 940/923, 404/571 is

GCF of Numerators i.e. for 940,404 is 4

LCM of denominators i.e. for 923,571 is 527033.

Thus, GCF of Fractions is 4/527033.Finally, GCF of Fractions for 940/923, 404/571 is 4/527033.