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GCF of 223/569, 520/291

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 223/569, 520/291 i.e 1/165579 easily. The following is the detailed procedure to determine the greatest common factor of fractions 223/569, 520/291.

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 223/569,520/291?

Given fractions are 223/569,520/291

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 223/569,520/291, numerators are 223,520

Denominators are 569,291

The GCF of 223,520 is 1 .

LCM of 569,291 is 165579.

The greatest common factor of 223/569,520/291 = [GCF of 223,520]/[LCM of 569,291]= 1/165579

Therefore, the GCF of 223/569,520/291 is 1/165579.

Greatest Common Factor of 223,520

To find the highest common factor of 223,520, we have to find the factors of both numbers and list the highest common factor.

The factors of 223 are 1, 223

The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

The HCF of 223,520 is 1.

Lets's calculate GCF of 223,520

Greatest Common Factor (GCF) of 223,520 By Common Division

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

Greatest Common Factor of 223,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,520 By Matching Biggest Common Factor Method

Now, list down the factors of 223

:

1,223

Now, list down the factors of 520

:

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 223,520 . The biggest common factor number is the GCF number.
So the greatest common factor 223,520 is 1.

Lets's calculate LCM of 569,291

Lowest Common Multiple of 569,291 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 165579

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165579

Therefore, the GCF of Fractions 223/569,520/291 is 1/165579

Least Common Multiple of 569,291 with GCF Formula

Least Common Multiple of 569,291 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 569,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,291) = 1

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

GCF(569,291) x common factors =1 x 1 = 1

LCM(569,291) = ( 569 × 291 ) / 1

LCM(569,291) = 165579 / 1

LCM(569,291) = 165579


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FAQs on GCF of Fractions of 223/569, 520/291

1. What is the HCF of 223,520?

The HCF of 223,520 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 223/569, 520/291?

Answer: GCF of Numerators as per given numbers 223/569, 520/291 is

GCF of Numerators i.e. for 223,520 is 1

LCM of denominators i.e. for 569,291 is 165579.

Thus, GCF of Fractions is 1/165579.Finally, GCF of Fractions for 223/569, 520/291 is 1/165579.