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GCF of 389/36, 352/289

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 389/36, 352/289 i.e 1/10404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/36, 352/289.

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 389/36,352/289?

Given fractions are 389/36,352/289

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 389/36,352/289, numerators are 389,352

Denominators are 36,289

The GCF of 389,352 is 1 .

LCM of 36,289 is 10404.

The greatest common factor of 389/36,352/289 = [GCF of 389,352]/[LCM of 36,289]= 1/10404

Therefore, the GCF of 389/36,352/289 is 1/10404.

Greatest Common Factor of 389,352

To find the highest common factor of 389,352, we have to find the factors of both numbers and list the highest common factor.

The factors of 389 are 1, 389

The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

The HCF of 389,352 is 1.

Lets's calculate GCF of 389,352

Greatest Common Factor (GCF) of 389,352 By Common Division

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

Greatest Common Factor of 389,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,352 By Matching Biggest Common Factor Method

Now, list down the factors of 389

:

1,389

Now, list down the factors of 352

:

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 389,352 . The biggest common factor number is the GCF number.
So the greatest common factor 389,352 is 1.

Lets's calculate LCM of 36,289

Lowest Common Multiple of 36,289 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 10404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10404

Therefore, the GCF of Fractions 389/36,352/289 is 1/10404

Least Common Multiple of 36,289 with GCF Formula

Least Common Multiple of 36,289 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 36,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,289) = 1

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

GCF(36,289) x common factors =1 x 1 = 1

LCM(36,289) = ( 36 × 289 ) / 1

LCM(36,289) = 10404 / 1

LCM(36,289) = 10404


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FAQs on GCF of Fractions of 389/36, 352/289

1. What is the HCF of 389,352?

The HCF of 389,352 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 389/36, 352/289?

Answer: GCF of Numerators as per given numbers 389/36, 352/289 is

GCF of Numerators i.e. for 389,352 is 1

LCM of denominators i.e. for 36,289 is 10404.

Thus, GCF of Fractions is 1/10404.Finally, GCF of Fractions for 389/36, 352/289 is 1/10404.