How to Find GCF of 2851/301, 3905/958?

GCF of 2851/301, 3905/958

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 2851/301, 3905/958 i.e 1/288358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2851/301, 3905/958.

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 2851/301,3905/958?

Given fractions are 2851/301,3905/958

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 2851/301,3905/958, numerators are 2851,3905

Denominators are 301,958

The GCF of 2851,3905 is 1 .

LCM of 301,958 is 288358.

The greatest common factor of 2851/301,3905/958 = [GCF of 2851,3905]/[LCM of 301,958]= 1/288358

Therefore, the GCF of 2851/301,3905/958 is 1/288358.

Greatest Common Factor of 2851,3905

To find the highest common factor of 2851,3905, we have to find the factors of both numbers and list the highest common factor.

The factors of 2851 are 1, 2851

The factors of 3905 are 1, 5, 11, 55, 71, 355, 781, 3905

The HCF of 2851,3905 is 1.

Lets's calculate GCF of 2851,3905

Greatest Common Factor (GCF) of 2851,3905 By Common Division

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

Greatest Common Factor of 2851,3905 By Matching Biggest Common Factor Method

Now, list down the factors of 2851

1,2851

Now, list down the factors of 3905

1,5,11,55,71,355,781,3905

Greatest Common Factor

We found the factors 2851,3905 . The biggest common factor number is the GCF number.
So the greatest common factor 2851,3905 is 1.

Lets's calculate LCM of 301,958

Lowest Common Multiple of 301,958 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 288358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288358

Therefore, the GCF of Fractions 2851/301,3905/958 is 1/288358

Least Common Multiple of 301,958 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 301,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,958) = 1

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

GCF(301,958) x common factors =1 x 1 = 1

LCM(301,958) = ( 301 × 958 ) / 1

LCM(301,958) = 288358 / 1

LCM(301,958) = 288358

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2851/301, 3905/958

1. What is the HCF of 2851,3905?

The HCF of 2851,3905 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 2851/301, 3905/958?

Answer: GCF of Numerators as per given numbers 2851/301, 3905/958 is

GCF of Numerators i.e. for 2851,3905 is 1

LCM of denominators i.e. for 301,958 is 288358.

Thus, GCF of Fractions is 1/288358.Finally, GCF of Fractions for 2851/301, 3905/958 is 1/288358.