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GCF of 470/32, 176/1405

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 470/32, 176/1405 i.e 2/44960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 470/32, 176/1405.

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 470/32,176/1405?

Given fractions are 470/32,176/1405

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 470/32,176/1405, numerators are 470,176

Denominators are 32,1405

The GCF of 470,176 is 2 .

LCM of 32,1405 is 44960.

The greatest common factor of 470/32,176/1405 = [GCF of 470,176]/[LCM of 32,1405]= 2/44960

Therefore, the GCF of 470/32,176/1405 is 2/44960.

Greatest Common Factor of 470,176

To find the highest common factor of 470,176, we have to find the factors of both numbers and list the highest common factor.

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

The HCF of 470,176 is 2.

Lets's calculate GCF of 470,176

Greatest Common Factor (GCF) of 470,176 By Common Division

2 470, 176
235, 88

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

Greatest Common Factor of 470,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,176 By Matching Biggest Common Factor Method

Now, list down the factors of 470

:

1,2,5,10,47,94,235,470

Now, list down the factors of 176

:

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 470,176 . The biggest common factor number is the GCF number.
So the greatest common factor 470,176 is 2.

Lets's calculate LCM of 32,1405

Lowest Common Multiple of 32,1405 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 44960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44960

Therefore, the GCF of Fractions 470/32,176/1405 is 2/44960

Least Common Multiple of 32,1405 with GCF Formula

Least Common Multiple of 32,1405 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 32,1405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,1405) = 1

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

GCF(32,1405) x common factors =1 x 1 = 1

LCM(32,1405) = ( 32 × 1405 ) / 1

LCM(32,1405) = 44960 / 1

LCM(32,1405) = 44960


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FAQs on GCF of Fractions of 470/32, 176/1405

1. What is the HCF of 470,176?

The HCF of 470,176 is 2

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 470/32, 176/1405?

Answer: GCF of Numerators as per given numbers 470/32, 176/1405 is

GCF of Numerators i.e. for 470,176 is 2

LCM of denominators i.e. for 32,1405 is 44960.

Thus, GCF of Fractions is 2/44960.Finally, GCF of Fractions for 470/32, 176/1405 is 2/44960.