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GCF of 439/164, 269/300

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 439/164, 269/300 i.e 1/12300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/164, 269/300.

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 439/164,269/300?

Given fractions are 439/164,269/300

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 439/164,269/300, numerators are 439,269

Denominators are 164,300

The GCF of 439,269 is 1 .

LCM of 164,300 is 12300.

The greatest common factor of 439/164,269/300 = [GCF of 439,269]/[LCM of 164,300]= 1/12300

Therefore, the GCF of 439/164,269/300 is 1/12300.

Greatest Common Factor of 439,269

To find the highest common factor of 439,269, we have to find the factors of both numbers and list the highest common factor.

The factors of 439 are 1, 439

The factors of 269 are 1, 269

The HCF of 439,269 is 1.

Lets's calculate GCF of 439,269

Greatest Common Factor (GCF) of 439,269 By Common Division

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

Greatest Common Factor of 439,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,269 By Matching Biggest Common Factor Method

Now, list down the factors of 439

:

1,439

Now, list down the factors of 269

:

1,269

Greatest Common Factor

We found the factors 439,269 . The biggest common factor number is the GCF number.
So the greatest common factor 439,269 is 1.

Lets's calculate LCM of 164,300

Lowest Common Multiple of 164,300 using Common Division

2 164, 300
2 82, 150
41, 75

∴ So the LCM of the given numbers is 2 x 2 x 41 x 75 = 12300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12300

Therefore, the GCF of Fractions 439/164,269/300 is 1/12300

Least Common Multiple of 164,300 with GCF Formula

Least Common Multiple of 164,300 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 164,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,300) = 4

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

GCF(164,300) x common factors =4 x 1 = 4

LCM(164,300) = ( 164 × 300 ) / 4

LCM(164,300) = 49200 / 4

LCM(164,300) = 12300


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FAQs on GCF of Fractions of 439/164, 269/300

1. What is the HCF of 439,269?

The HCF of 439,269 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 439/164, 269/300?

Answer: GCF of Numerators as per given numbers 439/164, 269/300 is

GCF of Numerators i.e. for 439,269 is 1

LCM of denominators i.e. for 164,300 is 12300.

Thus, GCF of Fractions is 1/12300.Finally, GCF of Fractions for 439/164, 269/300 is 1/12300.