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GCF of 2083/932, 3313/4621

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 2083/932, 3313/4621 i.e 1/4306772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2083/932, 3313/4621.

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 2083/932,3313/4621?

Given fractions are 2083/932,3313/4621

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 2083/932,3313/4621, numerators are 2083,3313

Denominators are 932,4621

The GCF of 2083,3313 is 1 .

LCM of 932,4621 is 4306772.

The greatest common factor of 2083/932,3313/4621 = [GCF of 2083,3313]/[LCM of 932,4621]= 1/4306772

Therefore, the GCF of 2083/932,3313/4621 is 1/4306772.

Greatest Common Factor of 2083,3313

To find the highest common factor of 2083,3313, we have to find the factors of both numbers and list the highest common factor.

The factors of 2083 are 1, 2083

The factors of 3313 are 1, 3313

The HCF of 2083,3313 is 1.

Lets's calculate GCF of 2083,3313

Greatest Common Factor (GCF) of 2083,3313 By Common Division

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

Greatest Common Factor of 2083,3313 By Matching Biggest Common Factor Method

Greatest Common Factor of 2083,3313 By Matching Biggest Common Factor Method

Now, list down the factors of 2083

:

1,2083

Now, list down the factors of 3313

:

1,3313

Greatest Common Factor

We found the factors 2083,3313 . The biggest common factor number is the GCF number.
So the greatest common factor 2083,3313 is 1.


Lets's calculate LCM of 932,4621

Lowest Common Multiple of 932,4621 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4306772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4306772

Therefore, the GCF of Fractions 2083/932,3313/4621 is 1/4306772

Least Common Multiple of 932,4621 with GCF Formula

Least Common Multiple of 932,4621 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 932,4621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,4621) = 1

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

GCF(932,4621) x common factors =1 x 1 = 1

LCM(932,4621) = ( 932 × 4621 ) / 1

LCM(932,4621) = 4306772 / 1

LCM(932,4621) = 4306772


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2083/932, 3313/4621

1. What is the HCF of 2083,3313?

The HCF of 2083,3313 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 2083/932, 3313/4621?

Answer: GCF of Numerators as per given numbers 2083/932, 3313/4621 is

GCF of Numerators i.e. for 2083,3313 is 1

LCM of denominators i.e. for 932,4621 is 4306772.

Thus, GCF of Fractions is 1/4306772.Finally, GCF of Fractions for 2083/932, 3313/4621 is 1/4306772.