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GCF of 4289/353, 4383/391

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 4289/353, 4383/391 i.e 1/138023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4289/353, 4383/391.

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 4289/353,4383/391?

Given fractions are 4289/353,4383/391

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 4289/353,4383/391, numerators are 4289,4383

Denominators are 353,391

The GCF of 4289,4383 is 1 .

LCM of 353,391 is 138023.

The greatest common factor of 4289/353,4383/391 = [GCF of 4289,4383]/[LCM of 353,391]= 1/138023

Therefore, the GCF of 4289/353,4383/391 is 1/138023.

Greatest Common Factor of 4289,4383

To find the highest common factor of 4289,4383, we have to find the factors of both numbers and list the highest common factor.

The factors of 4289 are 1, 4289

The factors of 4383 are 1, 3, 9, 487, 1461, 4383

The HCF of 4289,4383 is 1.

Lets's calculate GCF of 4289,4383

Greatest Common Factor (GCF) of 4289,4383 By Common Division

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

Greatest Common Factor of 4289,4383 By Matching Biggest Common Factor Method

Greatest Common Factor of 4289,4383 By Matching Biggest Common Factor Method

Now, list down the factors of 4289

:

1,4289

Now, list down the factors of 4383

:

1,3,9,487,1461,4383

Greatest Common Factor

We found the factors 4289,4383 . The biggest common factor number is the GCF number.
So the greatest common factor 4289,4383 is 1.

Lets's calculate LCM of 353,391

Lowest Common Multiple of 353,391 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 138023

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138023

Therefore, the GCF of Fractions 4289/353,4383/391 is 1/138023

Least Common Multiple of 353,391 with GCF Formula

Least Common Multiple of 353,391 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 353,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,391) = 1

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

GCF(353,391) x common factors =1 x 1 = 1

LCM(353,391) = ( 353 × 391 ) / 1

LCM(353,391) = 138023 / 1

LCM(353,391) = 138023


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FAQs on GCF of Fractions of 4289/353, 4383/391

1. What is the HCF of 4289,4383?

The HCF of 4289,4383 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 4289/353, 4383/391?

Answer: GCF of Numerators as per given numbers 4289/353, 4383/391 is

GCF of Numerators i.e. for 4289,4383 is 1

LCM of denominators i.e. for 353,391 is 138023.

Thus, GCF of Fractions is 1/138023.Finally, GCF of Fractions for 4289/353, 4383/391 is 1/138023.