How to Find GCF of 3943/437, 6823/6134?

GCF of 3943/437, 6823/6134

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 3943/437, 6823/6134 i.e 1/2680558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3943/437, 6823/6134.

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 3943/437,6823/6134?

Given fractions are 3943/437,6823/6134

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 3943/437,6823/6134, numerators are 3943,6823

Denominators are 437,6134

The GCF of 3943,6823 is 1 .

LCM of 437,6134 is 2680558.

The greatest common factor of 3943/437,6823/6134 = [GCF of 3943,6823]/[LCM of 437,6134]= 1/2680558

Therefore, the GCF of 3943/437,6823/6134 is 1/2680558.

Greatest Common Factor of 3943,6823

To find the highest common factor of 3943,6823, we have to find the factors of both numbers and list the highest common factor.

The factors of 3943 are 1, 3943

The factors of 6823 are 1, 6823

The HCF of 3943,6823 is 1.

Lets's calculate GCF of 3943,6823

Greatest Common Factor (GCF) of 3943,6823 By Common Division

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

Greatest Common Factor of 3943,6823 By Matching Biggest Common Factor Method

Now, list down the factors of 3943

1,3943

Now, list down the factors of 6823

1,6823

Greatest Common Factor

We found the factors 3943,6823 . The biggest common factor number is the GCF number.
So the greatest common factor 3943,6823 is 1.

Lets's calculate LCM of 437,6134

Lowest Common Multiple of 437,6134 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2680558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2680558

Therefore, the GCF of Fractions 3943/437,6823/6134 is 1/2680558

Least Common Multiple of 437,6134 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 437,6134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,6134) = 1

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

GCF(437,6134) x common factors =1 x 1 = 1

LCM(437,6134) = ( 437 × 6134 ) / 1

LCM(437,6134) = 2680558 / 1

LCM(437,6134) = 2680558

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3943/437, 6823/6134

1. What is the HCF of 3943,6823?

The HCF of 3943,6823 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 3943/437, 6823/6134?

Answer: GCF of Numerators as per given numbers 3943/437, 6823/6134 is

GCF of Numerators i.e. for 3943,6823 is 1

LCM of denominators i.e. for 437,6134 is 2680558.

Thus, GCF of Fractions is 1/2680558.Finally, GCF of Fractions for 3943/437, 6823/6134 is 1/2680558.