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GCF of 283/260, 404/993

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 283/260, 404/993 i.e 1/258180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 283/260, 404/993.

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 283/260,404/993?

Given fractions are 283/260,404/993

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 283/260,404/993, numerators are 283,404

Denominators are 260,993

The GCF of 283,404 is 1 .

LCM of 260,993 is 258180.

The greatest common factor of 283/260,404/993 = [GCF of 283,404]/[LCM of 260,993]= 1/258180

Therefore, the GCF of 283/260,404/993 is 1/258180.

Greatest Common Factor of 283,404

To find the highest common factor of 283,404, we have to find the factors of both numbers and list the highest common factor.

The factors of 283 are 1, 283

The factors of 404 are 1, 2, 4, 101, 202, 404

The HCF of 283,404 is 1.

Lets's calculate GCF of 283,404

Greatest Common Factor (GCF) of 283,404 By Common Division

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

Greatest Common Factor of 283,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,404 By Matching Biggest Common Factor Method

Now, list down the factors of 283

:

1,283

Now, list down the factors of 404

:

1,2,4,101,202,404

Greatest Common Factor

We found the factors 283,404 . The biggest common factor number is the GCF number.
So the greatest common factor 283,404 is 1.

Lets's calculate LCM of 260,993

Lowest Common Multiple of 260,993 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 258180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258180

Therefore, the GCF of Fractions 283/260,404/993 is 1/258180

Least Common Multiple of 260,993 with GCF Formula

Least Common Multiple of 260,993 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 260,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,993) = 1

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

GCF(260,993) x common factors =1 x 1 = 1

LCM(260,993) = ( 260 × 993 ) / 1

LCM(260,993) = 258180 / 1

LCM(260,993) = 258180


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FAQs on GCF of Fractions of 283/260, 404/993

1. What is the HCF of 283,404?

The HCF of 283,404 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 283/260, 404/993?

Answer: GCF of Numerators as per given numbers 283/260, 404/993 is

GCF of Numerators i.e. for 283,404 is 1

LCM of denominators i.e. for 260,993 is 258180.

Thus, GCF of Fractions is 1/258180.Finally, GCF of Fractions for 283/260, 404/993 is 1/258180.