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GCF of 368/62, 404/738

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 368/62, 404/738 i.e 4/22878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 368/62, 404/738.

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 368/62,404/738?

Given fractions are 368/62,404/738

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 368/62,404/738, numerators are 368,404

Denominators are 62,738

The GCF of 368,404 is 4 .

LCM of 62,738 is 22878.

The greatest common factor of 368/62,404/738 = [GCF of 368,404]/[LCM of 62,738]= 4/22878

Therefore, the GCF of 368/62,404/738 is 4/22878.

Greatest Common Factor of 368,404

To find the highest common factor of 368,404, we have to find the factors of both numbers and list the highest common factor.

The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

The HCF of 368,404 is 4.

Lets's calculate GCF of 368,404

Greatest Common Factor (GCF) of 368,404 By Common Division

2 368, 404
2 184, 202
92, 101

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

Greatest Common Factor of 368,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,404 By Matching Biggest Common Factor Method

Now, list down the factors of 368

:

1,2,4,8,16,23,46,92,184,368

Now, list down the factors of 404

:

1,2,4,101,202,404

Greatest Common Factor

We found the factors 368,404 . The biggest common factor number is the GCF number.
So the greatest common factor 368,404 is 4.

Lets's calculate LCM of 62,738

Lowest Common Multiple of 62,738 using Common Division

2 62, 738
31, 369

∴ So the LCM of the given numbers is 2 x 31 x 369 = 22878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/22878

Therefore, the GCF of Fractions 368/62,404/738 is 4/22878

Least Common Multiple of 62,738 with GCF Formula

Least Common Multiple of 62,738 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 62,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,738) = 2

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

GCF(62,738) x common factors =2 x 1 = 2

LCM(62,738) = ( 62 × 738 ) / 2

LCM(62,738) = 45756 / 2

LCM(62,738) = 22878


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FAQs on GCF of Fractions of 368/62, 404/738

1. What is the HCF of 368,404?

The HCF of 368,404 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 368/62, 404/738?

Answer: GCF of Numerators as per given numbers 368/62, 404/738 is

GCF of Numerators i.e. for 368,404 is 4

LCM of denominators i.e. for 62,738 is 22878.

Thus, GCF of Fractions is 4/22878.Finally, GCF of Fractions for 368/62, 404/738 is 4/22878.