How to Find GCF of 475/404, 6620/429?

GCF of 475/404, 6620/429

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 475/404, 6620/429 i.e 5/173316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 475/404, 6620/429.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 475/404,6620/429?

Given fractions are 475/404,6620/429

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 475/404,6620/429, numerators are 475,6620

Denominators are 404,429

The GCF of 475,6620 is 5 .

LCM of 404,429 is 173316.

The greatest common factor of 475/404,6620/429 = [GCF of 475,6620]/[LCM of 404,429]= 5/173316

Therefore, the GCF of 475/404,6620/429 is 5/173316.

Greatest Common Factor of 475,6620

To find the highest common factor of 475,6620, we have to find the factors of both numbers and list the highest common factor.

The factors of 475 are 1, 5, 19, 25, 95, 475

The factors of 6620 are 1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620

The HCF of 475,6620 is 5.

Lets's calculate GCF of 475,6620

Greatest Common Factor (GCF) of 475,6620 By Common Division

5	475, 6620
	95, 1324

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 475,6620 By Matching Biggest Common Factor Method

Now, list down the factors of 475

1,5,19,25,95,475

Now, list down the factors of 6620

1,2,4,5,10,20,331,662,1324,1655,3310,6620

Greatest Common Factor

We found the factors 475,6620 . The biggest common factor number is the GCF number.
So the greatest common factor 475,6620 is 5.

Lets's calculate LCM of 404,429

Lowest Common Multiple of 404,429 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 173316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/173316

Therefore, the GCF of Fractions 475/404,6620/429 is 5/173316

Least Common Multiple of 404,429 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 404,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,429) = 1

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

GCF(404,429) x common factors =1 x 1 = 1

LCM(404,429) = ( 404 × 429 ) / 1

LCM(404,429) = 173316 / 1

LCM(404,429) = 173316

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FAQs on GCF of Fractions of 475/404, 6620/429

1. What is the HCF of 475,6620?

The HCF of 475,6620 is 5

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 475/404, 6620/429?

Answer: GCF of Numerators as per given numbers 475/404, 6620/429 is

GCF of Numerators i.e. for 475,6620 is 5

LCM of denominators i.e. for 404,429 is 173316.

Thus, GCF of Fractions is 5/173316.Finally, GCF of Fractions for 475/404, 6620/429 is 5/173316.