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GCF of 398/287, 658/597

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 398/287, 658/597 i.e 2/171339 easily. The following is the detailed procedure to determine the greatest common factor of fractions 398/287, 658/597.

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 398/287,658/597?

Given fractions are 398/287,658/597

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 398/287,658/597, numerators are 398,658

Denominators are 287,597

The GCF of 398,658 is 2 .

LCM of 287,597 is 171339.

The greatest common factor of 398/287,658/597 = [GCF of 398,658]/[LCM of 287,597]= 2/171339

Therefore, the GCF of 398/287,658/597 is 2/171339.

Greatest Common Factor of 398,658

To find the highest common factor of 398,658, 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 658 are 1, 2, 7, 14, 47, 94, 329, 658

The HCF of 398,658 is 2.

Lets's calculate GCF of 398,658

Greatest Common Factor (GCF) of 398,658 By Common Division

2 398, 658
199, 329

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

Greatest Common Factor of 398,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,658 By Matching Biggest Common Factor Method

Now, list down the factors of 398

:

1,2,199,398

Now, list down the factors of 658

:

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 398,658 . The biggest common factor number is the GCF number.
So the greatest common factor 398,658 is 2.

Lets's calculate LCM of 287,597

Lowest Common Multiple of 287,597 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 171339

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171339

Therefore, the GCF of Fractions 398/287,658/597 is 2/171339

Least Common Multiple of 287,597 with GCF Formula

Least Common Multiple of 287,597 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 287,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,597) = 1

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

GCF(287,597) x common factors =1 x 1 = 1

LCM(287,597) = ( 287 × 597 ) / 1

LCM(287,597) = 171339 / 1

LCM(287,597) = 171339


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FAQs on GCF of Fractions of 398/287, 658/597

1. What is the HCF of 398,658?

The HCF of 398,658 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 398/287, 658/597?

Answer: GCF of Numerators as per given numbers 398/287, 658/597 is

GCF of Numerators i.e. for 398,658 is 2

LCM of denominators i.e. for 287,597 is 171339.

Thus, GCF of Fractions is 2/171339.Finally, GCF of Fractions for 398/287, 658/597 is 2/171339.