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GCF of 675/280, 4259/293

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 675/280, 4259/293 i.e 1/82040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 675/280, 4259/293.

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 675/280,4259/293?

Given fractions are 675/280,4259/293

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 675/280,4259/293, numerators are 675,4259

Denominators are 280,293

The GCF of 675,4259 is 1 .

LCM of 280,293 is 82040.

The greatest common factor of 675/280,4259/293 = [GCF of 675,4259]/[LCM of 280,293]= 1/82040

Therefore, the GCF of 675/280,4259/293 is 1/82040.

Greatest Common Factor of 675,4259

To find the highest common factor of 675,4259, we have to find the factors of both numbers and list the highest common factor.

The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

The factors of 4259 are 1, 4259

The HCF of 675,4259 is 1.

Lets's calculate GCF of 675,4259

Greatest Common Factor (GCF) of 675,4259 By Common Division

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

Greatest Common Factor of 675,4259 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,4259 By Matching Biggest Common Factor Method

Now, list down the factors of 675

:

1,3,5,9,15,25,27,45,75,135,225,675

Now, list down the factors of 4259

:

1,4259

Greatest Common Factor

We found the factors 675,4259 . The biggest common factor number is the GCF number.
So the greatest common factor 675,4259 is 1.

Lets's calculate LCM of 280,293

Lowest Common Multiple of 280,293 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 82040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82040

Therefore, the GCF of Fractions 675/280,4259/293 is 1/82040

Least Common Multiple of 280,293 with GCF Formula

Least Common Multiple of 280,293 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 280,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,293) = 1

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

GCF(280,293) x common factors =1 x 1 = 1

LCM(280,293) = ( 280 × 293 ) / 1

LCM(280,293) = 82040 / 1

LCM(280,293) = 82040


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FAQs on GCF of Fractions of 675/280, 4259/293

1. What is the HCF of 675,4259?

The HCF of 675,4259 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 675/280, 4259/293?

Answer: GCF of Numerators as per given numbers 675/280, 4259/293 is

GCF of Numerators i.e. for 675,4259 is 1

LCM of denominators i.e. for 280,293 is 82040.

Thus, GCF of Fractions is 1/82040.Finally, GCF of Fractions for 675/280, 4259/293 is 1/82040.