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GCF of 552/470, 556/458

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 552/470, 556/458 i.e 4/107630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/470, 556/458.

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 552/470,556/458?

Given fractions are 552/470,556/458

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 552/470,556/458, numerators are 552,556

Denominators are 470,458

The GCF of 552,556 is 4 .

LCM of 470,458 is 107630.

The greatest common factor of 552/470,556/458 = [GCF of 552,556]/[LCM of 470,458]= 4/107630

Therefore, the GCF of 552/470,556/458 is 4/107630.

Greatest Common Factor of 552,556

To find the highest common factor of 552,556, we have to find the factors of both numbers and list the highest common factor.

The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

The factors of 556 are 1, 2, 4, 139, 278, 556

The HCF of 552,556 is 4.

Lets's calculate GCF of 552,556

Greatest Common Factor (GCF) of 552,556 By Common Division

2 552, 556
2 276, 278
138, 139

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

Greatest Common Factor of 552,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,556 By Matching Biggest Common Factor Method

Now, list down the factors of 552

:

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Now, list down the factors of 556

:

1,2,4,139,278,556

Greatest Common Factor

We found the factors 552,556 . The biggest common factor number is the GCF number.
So the greatest common factor 552,556 is 4.

Lets's calculate LCM of 470,458

Lowest Common Multiple of 470,458 using Common Division

2 470, 458
235, 229

∴ So the LCM of the given numbers is 2 x 235 x 229 = 107630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/107630

Therefore, the GCF of Fractions 552/470,556/458 is 4/107630

Least Common Multiple of 470,458 with GCF Formula

Least Common Multiple of 470,458 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 470,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,458) = 2

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

GCF(470,458) x common factors =2 x 1 = 2

LCM(470,458) = ( 470 × 458 ) / 2

LCM(470,458) = 215260 / 2

LCM(470,458) = 107630


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FAQs on GCF of Fractions of 552/470, 556/458

1. What is the HCF of 552,556?

The HCF of 552,556 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 552/470, 556/458?

Answer: GCF of Numerators as per given numbers 552/470, 556/458 is

GCF of Numerators i.e. for 552,556 is 4

LCM of denominators i.e. for 470,458 is 107630.

Thus, GCF of Fractions is 4/107630.Finally, GCF of Fractions for 552/470, 556/458 is 4/107630.