LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 943/821, 4231/931

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 943/821, 4231/931 i.e 1/764351 easily. The following is the detailed procedure to determine the greatest common factor of fractions 943/821, 4231/931.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 943/821,4231/931?

Given fractions are 943/821,4231/931

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 943/821,4231/931, numerators are 943,4231

Denominators are 821,931

The GCF of 943,4231 is 1 .

LCM of 821,931 is 764351.

The greatest common factor of 943/821,4231/931 = [GCF of 943,4231]/[LCM of 821,931]= 1/764351

Therefore, the GCF of 943/821,4231/931 is 1/764351.

Greatest Common Factor of 943,4231

To find the highest common factor of 943,4231, we have to find the factors of both numbers and list the highest common factor.

The factors of 943 are 1, 23, 41, 943

The factors of 4231 are 1, 4231

The HCF of 943,4231 is 1.

Lets's calculate GCF of 943,4231

Greatest Common Factor (GCF) of 943,4231 By Common Division

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

Greatest Common Factor of 943,4231 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,4231 By Matching Biggest Common Factor Method

Now, list down the factors of 943

:

1,23,41,943

Now, list down the factors of 4231

:

1,4231

Greatest Common Factor

We found the factors 943,4231 . The biggest common factor number is the GCF number.
So the greatest common factor 943,4231 is 1.

Lets's calculate LCM of 821,931

Lowest Common Multiple of 821,931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 764351

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/764351

Therefore, the GCF of Fractions 943/821,4231/931 is 1/764351

Least Common Multiple of 821,931 with GCF Formula

Least Common Multiple of 821,931 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 821,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,931) = 1

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

GCF(821,931) x common factors =1 x 1 = 1

LCM(821,931) = ( 821 × 931 ) / 1

LCM(821,931) = 764351 / 1

LCM(821,931) = 764351


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 943/821, 4231/931

1. What is the HCF of 943,4231?

The HCF of 943,4231 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 943/821, 4231/931?

Answer: GCF of Numerators as per given numbers 943/821, 4231/931 is

GCF of Numerators i.e. for 943,4231 is 1

LCM of denominators i.e. for 821,931 is 764351.

Thus, GCF of Fractions is 1/764351.Finally, GCF of Fractions for 943/821, 4231/931 is 1/764351.