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GCF of 1433/616, 7321/849

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 1433/616, 7321/849 i.e 1/522984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1433/616, 7321/849.

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 1433/616,7321/849?

Given fractions are 1433/616,7321/849

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 1433/616,7321/849, numerators are 1433,7321

Denominators are 616,849

The GCF of 1433,7321 is 1 .

LCM of 616,849 is 522984.

The greatest common factor of 1433/616,7321/849 = [GCF of 1433,7321]/[LCM of 616,849]= 1/522984

Therefore, the GCF of 1433/616,7321/849 is 1/522984.

Greatest Common Factor of 1433,7321

To find the highest common factor of 1433,7321, we have to find the factors of both numbers and list the highest common factor.

The factors of 1433 are 1, 1433

The factors of 7321 are 1, 7321

The HCF of 1433,7321 is 1.

Lets's calculate GCF of 1433,7321

Greatest Common Factor (GCF) of 1433,7321 By Common Division

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

Greatest Common Factor of 1433,7321 By Matching Biggest Common Factor Method

Greatest Common Factor of 1433,7321 By Matching Biggest Common Factor Method

Now, list down the factors of 1433

:

1,1433

Now, list down the factors of 7321

:

1,7321

Greatest Common Factor

We found the factors 1433,7321 . The biggest common factor number is the GCF number.
So the greatest common factor 1433,7321 is 1.

Lets's calculate LCM of 616,849

Lowest Common Multiple of 616,849 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 522984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/522984

Therefore, the GCF of Fractions 1433/616,7321/849 is 1/522984

Least Common Multiple of 616,849 with GCF Formula

Least Common Multiple of 616,849 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 616,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,849) = 1

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

GCF(616,849) x common factors =1 x 1 = 1

LCM(616,849) = ( 616 × 849 ) / 1

LCM(616,849) = 522984 / 1

LCM(616,849) = 522984


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FAQs on GCF of Fractions of 1433/616, 7321/849

1. What is the HCF of 1433,7321?

The HCF of 1433,7321 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 1433/616, 7321/849?

Answer: GCF of Numerators as per given numbers 1433/616, 7321/849 is

GCF of Numerators i.e. for 1433,7321 is 1

LCM of denominators i.e. for 616,849 is 522984.

Thus, GCF of Fractions is 1/522984.Finally, GCF of Fractions for 1433/616, 7321/849 is 1/522984.