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GCF of 404/80, 293/675

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 404/80, 293/675 i.e 1/10800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/80, 293/675.

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 404/80,293/675?

Given fractions are 404/80,293/675

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 404/80,293/675, numerators are 404,293

Denominators are 80,675

The GCF of 404,293 is 1 .

LCM of 80,675 is 10800.

The greatest common factor of 404/80,293/675 = [GCF of 404,293]/[LCM of 80,675]= 1/10800

Therefore, the GCF of 404/80,293/675 is 1/10800.

Greatest Common Factor of 404,293

To find the highest common factor of 404,293, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 293 are 1, 293

The HCF of 404,293 is 1.

Lets's calculate GCF of 404,293

Greatest Common Factor (GCF) of 404,293 By Common Division

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

Greatest Common Factor of 404,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,293 By Matching Biggest Common Factor Method

Now, list down the factors of 404

:

1,2,4,101,202,404

Now, list down the factors of 293

:

1,293

Greatest Common Factor

We found the factors 404,293 . The biggest common factor number is the GCF number.
So the greatest common factor 404,293 is 1.

Lets's calculate LCM of 80,675

Lowest Common Multiple of 80,675 using Common Division

5 80, 675
16, 135

∴ So the LCM of the given numbers is 5 x 16 x 135 = 10800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10800

Therefore, the GCF of Fractions 404/80,293/675 is 1/10800

Least Common Multiple of 80,675 with GCF Formula

Least Common Multiple of 80,675 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 80,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,675) = 5

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

GCF(80,675) x common factors =5 x 1 = 5

LCM(80,675) = ( 80 × 675 ) / 5

LCM(80,675) = 54000 / 5

LCM(80,675) = 10800


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FAQs on GCF of Fractions of 404/80, 293/675

1. What is the HCF of 404,293?

The HCF of 404,293 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 404/80, 293/675?

Answer: GCF of Numerators as per given numbers 404/80, 293/675 is

GCF of Numerators i.e. for 404,293 is 1

LCM of denominators i.e. for 80,675 is 10800.

Thus, GCF of Fractions is 1/10800.Finally, GCF of Fractions for 404/80, 293/675 is 1/10800.