How to Find GCF of 398/705, 271/985, 488/224?

GCF of 398/705, 271/985, 488/224

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 398/705, 271/985, 488/224 i.e 1/31110240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 398/705, 271/985, 488/224.

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 398/705,271/985,488/224?

Given fractions are 398/705,271/985,488/224

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 398/705,271/985,488/224, numerators are 398,271,488

Denominators are 705,985,224

The GCF of 398,271,488 is 1 .

LCM of 705,985,224 is 31110240.

The greatest common factor of 398/705,271/985,488/224 = [GCF of 398,271,488]/[LCM of 705,985,224]= 1/31110240

Therefore, the GCF of 398/705,271/985,488/224 is 1/31110240.

Greatest Common Factor of 398,271,488

To find the highest common factor of 398,271,488, we have to find the factors of both numbers and list the highest common factor.

The factors of 398 are 1, 2, 199, 398

The factors of 271 are 1, 271

The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488

The HCF of 398,271,488 is 1.

Lets's calculate GCF of 398,271,488

Greatest Common Factor (GCF) of 398,271,488 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 398,271,488 By Matching Biggest Common Factor Method

Now, list down the factors of 398

1,2,199,398

Now, list down the factors of 271

1,271

Now, list down the factors of 488

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 398,271,488 . The biggest common factor number is the GCF number.
So the greatest common factor 398,271,488 is 1.

Lets's calculate LCM of 705,985,224

Lowest Common Multiple of 705,985,224 using Common Division

5	705, 985, 224
	141, 197, 224

∴ So the LCM of the given numbers is 5 x 141 x 197 x 224 = 31110240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31110240

Therefore, the GCF of Fractions 398/705,271/985,488/224 is 1/31110240

Least Common Multiple of 705,985,224 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 705,985,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,985,224) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(705,985,224) x common factors =1 x 5 = 5

LCM(705,985,224) = ( 705 × 985 × 224 ) / 5

LCM(705,985,224) = 155551200 / 5

LCM(705,985,224) = 31110240

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 398/705, 271/985, 488/224

1. What is the HCF of 398,271,488?

The HCF of 398,271,488 is 1

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 398/705, 271/985, 488/224?

Answer: GCF of Numerators as per given numbers 398/705, 271/985, 488/224 is

GCF of Numerators i.e. for 398,271,488 is 1

LCM of denominators i.e. for 705,985,224 is 31110240.

Thus, GCF of Fractions is 1/31110240.Finally, GCF of Fractions for 398/705, 271/985, 488/224 is 1/31110240.