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GCF of 482/368, 358/288

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 482/368, 358/288 i.e 2/6624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 482/368, 358/288.

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 482/368,358/288?

Given fractions are 482/368,358/288

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 482/368,358/288, numerators are 482,358

Denominators are 368,288

The GCF of 482,358 is 2 .

LCM of 368,288 is 6624.

The greatest common factor of 482/368,358/288 = [GCF of 482,358]/[LCM of 368,288]= 2/6624

Therefore, the GCF of 482/368,358/288 is 2/6624.

Greatest Common Factor of 482,358

To find the highest common factor of 482,358, we have to find the factors of both numbers and list the highest common factor.

The factors of 482 are 1, 2, 241, 482

The factors of 358 are 1, 2, 179, 358

The HCF of 482,358 is 2.

Lets's calculate GCF of 482,358

Greatest Common Factor (GCF) of 482,358 By Common Division

2 482, 358
241, 179

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

Greatest Common Factor of 482,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,358 By Matching Biggest Common Factor Method

Now, list down the factors of 482

:

1,2,241,482

Now, list down the factors of 358

:

1,2,179,358

Greatest Common Factor

We found the factors 482,358 . The biggest common factor number is the GCF number.
So the greatest common factor 482,358 is 2.

Lets's calculate LCM of 368,288

Lowest Common Multiple of 368,288 using Common Division

2 368, 288
2 184, 144
2 92, 72
2 46, 36
23, 18

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 23 x 18 = 6624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6624

Therefore, the GCF of Fractions 482/368,358/288 is 2/6624

Least Common Multiple of 368,288 with GCF Formula

Least Common Multiple of 368,288 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 368,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,288) = 16

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

GCF(368,288) x common factors =16 x 1 = 16

LCM(368,288) = ( 368 × 288 ) / 16

LCM(368,288) = 105984 / 16

LCM(368,288) = 6624


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FAQs on GCF of Fractions of 482/368, 358/288

1. What is the HCF of 482,358?

The HCF of 482,358 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 482/368, 358/288?

Answer: GCF of Numerators as per given numbers 482/368, 358/288 is

GCF of Numerators i.e. for 482,358 is 2

LCM of denominators i.e. for 368,288 is 6624.

Thus, GCF of Fractions is 2/6624.Finally, GCF of Fractions for 482/368, 358/288 is 2/6624.