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GCF of 470/383, 5969/176

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 470/383, 5969/176 i.e 47/67408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 470/383, 5969/176.

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 470/383,5969/176?

Given fractions are 470/383,5969/176

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 470/383,5969/176, numerators are 470,5969

Denominators are 383,176

The GCF of 470,5969 is 47 .

LCM of 383,176 is 67408.

The greatest common factor of 470/383,5969/176 = [GCF of 470,5969]/[LCM of 383,176]= 47/67408

Therefore, the GCF of 470/383,5969/176 is 47/67408.

Greatest Common Factor of 470,5969

To find the highest common factor of 470,5969, 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 5969 are 1, 47, 127, 5969

The HCF of 470,5969 is 47.

Lets's calculate GCF of 470,5969

Greatest Common Factor (GCF) of 470,5969 By Common Division

47 470, 5969
10, 127

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 470,5969 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,5969 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 5969

:

1,47,127,5969

Greatest Common Factor

We found the factors 470,5969 . The biggest common factor number is the GCF number.
So the greatest common factor 470,5969 is 47.

Lets's calculate LCM of 383,176

Lowest Common Multiple of 383,176 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 67408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/67408

Therefore, the GCF of Fractions 470/383,5969/176 is 47/67408

Least Common Multiple of 383,176 with GCF Formula

Least Common Multiple of 383,176 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 383,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,176) = 1

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

GCF(383,176) x common factors =1 x 1 = 1

LCM(383,176) = ( 383 × 176 ) / 1

LCM(383,176) = 67408 / 1

LCM(383,176) = 67408


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FAQs on GCF of Fractions of 470/383, 5969/176

1. What is the HCF of 470,5969?

The HCF of 470,5969 is 47

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 470/383, 5969/176?

Answer: GCF of Numerators as per given numbers 470/383, 5969/176 is

GCF of Numerators i.e. for 470,5969 is 47

LCM of denominators i.e. for 383,176 is 67408.

Thus, GCF of Fractions is 47/67408.Finally, GCF of Fractions for 470/383, 5969/176 is 47/67408.