How to Find GCF of 341/458, 8726/5949?

GCF of 341/458, 8726/5949

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 341/458, 8726/5949 i.e 1/2724642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/458, 8726/5949.

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 341/458,8726/5949?

Given fractions are 341/458,8726/5949

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 341/458,8726/5949, numerators are 341,8726

Denominators are 458,5949

The GCF of 341,8726 is 1 .

LCM of 458,5949 is 2724642.

The greatest common factor of 341/458,8726/5949 = [GCF of 341,8726]/[LCM of 458,5949]= 1/2724642

Therefore, the GCF of 341/458,8726/5949 is 1/2724642.

Greatest Common Factor of 341,8726

To find the highest common factor of 341,8726, we have to find the factors of both numbers and list the highest common factor.

The factors of 341 are 1, 11, 31, 341

The factors of 8726 are 1, 2, 4363, 8726

The HCF of 341,8726 is 1.

Lets's calculate GCF of 341,8726

Greatest Common Factor (GCF) of 341,8726 By Common Division

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

Greatest Common Factor of 341,8726 By Matching Biggest Common Factor Method

Now, list down the factors of 341

1,11,31,341

Now, list down the factors of 8726

1,2,4363,8726

Greatest Common Factor

We found the factors 341,8726 . The biggest common factor number is the GCF number.
So the greatest common factor 341,8726 is 1.

Lets's calculate LCM of 458,5949

Lowest Common Multiple of 458,5949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2724642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2724642

Therefore, the GCF of Fractions 341/458,8726/5949 is 1/2724642

Least Common Multiple of 458,5949 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 458,5949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,5949) = 1

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

GCF(458,5949) x common factors =1 x 1 = 1

LCM(458,5949) = ( 458 × 5949 ) / 1

LCM(458,5949) = 2724642 / 1

LCM(458,5949) = 2724642

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FAQs on GCF of Fractions of 341/458, 8726/5949

1. What is the HCF of 341,8726?

The HCF of 341,8726 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 341/458, 8726/5949?

Answer: GCF of Numerators as per given numbers 341/458, 8726/5949 is

GCF of Numerators i.e. for 341,8726 is 1

LCM of denominators i.e. for 458,5949 is 2724642.

Thus, GCF of Fractions is 1/2724642.Finally, GCF of Fractions for 341/458, 8726/5949 is 1/2724642.