How to Find GCF of 958/401, 4199/539?

GCF of 958/401, 4199/539

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 958/401, 4199/539 i.e 1/216139 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/401, 4199/539.

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 958/401,4199/539?

Given fractions are 958/401,4199/539

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 958/401,4199/539, numerators are 958,4199

Denominators are 401,539

The GCF of 958,4199 is 1 .

LCM of 401,539 is 216139.

The greatest common factor of 958/401,4199/539 = [GCF of 958,4199]/[LCM of 401,539]= 1/216139

Therefore, the GCF of 958/401,4199/539 is 1/216139.

Greatest Common Factor of 958,4199

To find the highest common factor of 958,4199, we have to find the factors of both numbers and list the highest common factor.

The factors of 958 are 1, 2, 479, 958

The factors of 4199 are 1, 13, 17, 19, 221, 247, 323, 4199

The HCF of 958,4199 is 1.

Lets's calculate GCF of 958,4199

Greatest Common Factor (GCF) of 958,4199 By Common Division

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

Greatest Common Factor of 958,4199 By Matching Biggest Common Factor Method

Now, list down the factors of 958

1,2,479,958

Now, list down the factors of 4199

1,13,17,19,221,247,323,4199

Greatest Common Factor

We found the factors 958,4199 . The biggest common factor number is the GCF number.
So the greatest common factor 958,4199 is 1.

Lets's calculate LCM of 401,539

Lowest Common Multiple of 401,539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 216139

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216139

Therefore, the GCF of Fractions 958/401,4199/539 is 1/216139

Least Common Multiple of 401,539 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 401,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,539) = 1

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

GCF(401,539) x common factors =1 x 1 = 1

LCM(401,539) = ( 401 × 539 ) / 1

LCM(401,539) = 216139 / 1

LCM(401,539) = 216139

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FAQs on GCF of Fractions of 958/401, 4199/539

1. What is the HCF of 958,4199?

The HCF of 958,4199 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 958/401, 4199/539?

Answer: GCF of Numerators as per given numbers 958/401, 4199/539 is

GCF of Numerators i.e. for 958,4199 is 1

LCM of denominators i.e. for 401,539 is 216139.

Thus, GCF of Fractions is 1/216139.Finally, GCF of Fractions for 958/401, 4199/539 is 1/216139.