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GCF of 6323/921, 3459/2473

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 6323/921, 3459/2473 i.e 1/2277633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6323/921, 3459/2473.

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 6323/921,3459/2473?

Given fractions are 6323/921,3459/2473

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 6323/921,3459/2473, numerators are 6323,3459

Denominators are 921,2473

The GCF of 6323,3459 is 1 .

LCM of 921,2473 is 2277633.

The greatest common factor of 6323/921,3459/2473 = [GCF of 6323,3459]/[LCM of 921,2473]= 1/2277633

Therefore, the GCF of 6323/921,3459/2473 is 1/2277633.

Greatest Common Factor of 6323,3459

To find the highest common factor of 6323,3459, we have to find the factors of both numbers and list the highest common factor.

The factors of 6323 are 1, 6323

The factors of 3459 are 1, 3, 1153, 3459

The HCF of 6323,3459 is 1.

Lets's calculate GCF of 6323,3459

Greatest Common Factor (GCF) of 6323,3459 By Common Division

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

Greatest Common Factor of 6323,3459 By Matching Biggest Common Factor Method

Greatest Common Factor of 6323,3459 By Matching Biggest Common Factor Method

Now, list down the factors of 6323

:

1,6323

Now, list down the factors of 3459

:

1,3,1153,3459

Greatest Common Factor

We found the factors 6323,3459 . The biggest common factor number is the GCF number.
So the greatest common factor 6323,3459 is 1.

Lets's calculate LCM of 921,2473

Lowest Common Multiple of 921,2473 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2277633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2277633

Therefore, the GCF of Fractions 6323/921,3459/2473 is 1/2277633

Least Common Multiple of 921,2473 with GCF Formula

Least Common Multiple of 921,2473 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 921,2473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,2473) = 1

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

GCF(921,2473) x common factors =1 x 1 = 1

LCM(921,2473) = ( 921 × 2473 ) / 1

LCM(921,2473) = 2277633 / 1

LCM(921,2473) = 2277633


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6323/921, 3459/2473

1. What is the HCF of 6323,3459?

The HCF of 6323,3459 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 6323/921, 3459/2473?

Answer: GCF of Numerators as per given numbers 6323/921, 3459/2473 is

GCF of Numerators i.e. for 6323,3459 is 1

LCM of denominators i.e. for 921,2473 is 2277633.

Thus, GCF of Fractions is 1/2277633.Finally, GCF of Fractions for 6323/921, 3459/2473 is 1/2277633.