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GCF of 174/496, 669/352

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 174/496, 669/352 i.e 3/10912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 174/496, 669/352.

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 174/496,669/352?

Given fractions are 174/496,669/352

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 174/496,669/352, numerators are 174,669

Denominators are 496,352

The GCF of 174,669 is 3 .

LCM of 496,352 is 10912.

The greatest common factor of 174/496,669/352 = [GCF of 174,669]/[LCM of 496,352]= 3/10912

Therefore, the GCF of 174/496,669/352 is 3/10912.

Greatest Common Factor of 174,669

To find the highest common factor of 174,669, we have to find the factors of both numbers and list the highest common factor.

The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174

The factors of 669 are 1, 3, 223, 669

The HCF of 174,669 is 3.

Lets's calculate GCF of 174,669

Greatest Common Factor (GCF) of 174,669 By Common Division

3 174, 669
58, 223

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 174,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,669 By Matching Biggest Common Factor Method

Now, list down the factors of 174

:

1,2,3,6,29,58,87,174

Now, list down the factors of 669

:

1,3,223,669

Greatest Common Factor

We found the factors 174,669 . The biggest common factor number is the GCF number.
So the greatest common factor 174,669 is 3.

Lets's calculate LCM of 496,352

Lowest Common Multiple of 496,352 using Common Division

2 496, 352
2 248, 176
2 124, 88
2 62, 44
31, 22

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 22 = 10912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10912

Therefore, the GCF of Fractions 174/496,669/352 is 3/10912

Least Common Multiple of 496,352 with GCF Formula

Least Common Multiple of 496,352 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 496,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,352) = 16

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

GCF(496,352) x common factors =16 x 1 = 16

LCM(496,352) = ( 496 × 352 ) / 16

LCM(496,352) = 174592 / 16

LCM(496,352) = 10912


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FAQs on GCF of Fractions of 174/496, 669/352

1. What is the HCF of 174,669?

The HCF of 174,669 is 3

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 174/496, 669/352?

Answer: GCF of Numerators as per given numbers 174/496, 669/352 is

GCF of Numerators i.e. for 174,669 is 3

LCM of denominators i.e. for 496,352 is 10912.

Thus, GCF of Fractions is 3/10912.Finally, GCF of Fractions for 174/496, 669/352 is 3/10912.