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GCF of 404/52, 464/6052

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 404/52, 464/6052 i.e 4/78676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/52, 464/6052.

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 404/52,464/6052?

Given fractions are 404/52,464/6052

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 404/52,464/6052, numerators are 404,464

Denominators are 52,6052

The GCF of 404,464 is 4 .

LCM of 52,6052 is 78676.

The greatest common factor of 404/52,464/6052 = [GCF of 404,464]/[LCM of 52,6052]= 4/78676

Therefore, the GCF of 404/52,464/6052 is 4/78676.

Greatest Common Factor of 404,464

To find the highest common factor of 404,464, we have to find the factors of both numbers and list the highest common factor.

The factors of 404 are 1, 2, 4, 101, 202, 404

The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

The HCF of 404,464 is 4.

Lets's calculate GCF of 404,464

Greatest Common Factor (GCF) of 404,464 By Common Division

2 404, 464
2 202, 232
101, 116

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

Greatest Common Factor of 404,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,464 By Matching Biggest Common Factor Method

Now, list down the factors of 404

:

1,2,4,101,202,404

Now, list down the factors of 464

:

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 404,464 . The biggest common factor number is the GCF number.
So the greatest common factor 404,464 is 4.

Lets's calculate LCM of 52,6052

Lowest Common Multiple of 52,6052 using Common Division

2 52, 6052
2 26, 3026
13, 1513

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1513 = 78676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/78676

Therefore, the GCF of Fractions 404/52,464/6052 is 4/78676

Least Common Multiple of 52,6052 with GCF Formula

Least Common Multiple of 52,6052 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 52,6052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,6052) = 4

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

GCF(52,6052) x common factors =4 x 1 = 4

LCM(52,6052) = ( 52 × 6052 ) / 4

LCM(52,6052) = 314704 / 4

LCM(52,6052) = 78676


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FAQs on GCF of Fractions of 404/52, 464/6052

1. What is the HCF of 404,464?

The HCF of 404,464 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 404/52, 464/6052?

Answer: GCF of Numerators as per given numbers 404/52, 464/6052 is

GCF of Numerators i.e. for 404,464 is 4

LCM of denominators i.e. for 52,6052 is 78676.

Thus, GCF of Fractions is 4/78676.Finally, GCF of Fractions for 404/52, 464/6052 is 4/78676.