How to Find GCF of 341/931, 8433/262?

GCF of 341/931, 8433/262

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 341/931, 8433/262 i.e 1/243922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/931, 8433/262.

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 341/931,8433/262?

Given fractions are 341/931,8433/262

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 341/931,8433/262, numerators are 341,8433

Denominators are 931,262

The GCF of 341,8433 is 1 .

LCM of 931,262 is 243922.

The greatest common factor of 341/931,8433/262 = [GCF of 341,8433]/[LCM of 931,262]= 1/243922

Therefore, the GCF of 341/931,8433/262 is 1/243922.

Greatest Common Factor of 341,8433

To find the highest common factor of 341,8433, 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 8433 are 1, 3, 9, 937, 2811, 8433

The HCF of 341,8433 is 1.

Lets's calculate GCF of 341,8433

Greatest Common Factor (GCF) of 341,8433 By Common Division

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

Greatest Common Factor of 341,8433 By Matching Biggest Common Factor Method

Now, list down the factors of 341

1,11,31,341

Now, list down the factors of 8433

1,3,9,937,2811,8433

Greatest Common Factor

We found the factors 341,8433 . The biggest common factor number is the GCF number.
So the greatest common factor 341,8433 is 1.

Lets's calculate LCM of 931,262

Lowest Common Multiple of 931,262 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 243922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243922

Therefore, the GCF of Fractions 341/931,8433/262 is 1/243922

Least Common Multiple of 931,262 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 931,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,262) = 1

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

GCF(931,262) x common factors =1 x 1 = 1

LCM(931,262) = ( 931 × 262 ) / 1

LCM(931,262) = 243922 / 1

LCM(931,262) = 243922

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FAQs on GCF of Fractions of 341/931, 8433/262

1. What is the HCF of 341,8433?

The HCF of 341,8433 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 341/931, 8433/262?

Answer: GCF of Numerators as per given numbers 341/931, 8433/262 is

GCF of Numerators i.e. for 341,8433 is 1

LCM of denominators i.e. for 931,262 is 243922.

Thus, GCF of Fractions is 1/243922.Finally, GCF of Fractions for 341/931, 8433/262 is 1/243922.