How to Find GCF of 4441/439, 4345/892?

GCF of 4441/439, 4345/892

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 4441/439, 4345/892 i.e 1/391588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4441/439, 4345/892.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4441/439,4345/892?

Given fractions are 4441/439,4345/892

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 4441/439,4345/892, numerators are 4441,4345

Denominators are 439,892

The GCF of 4441,4345 is 1 .

LCM of 439,892 is 391588.

The greatest common factor of 4441/439,4345/892 = [GCF of 4441,4345]/[LCM of 439,892]= 1/391588

Therefore, the GCF of 4441/439,4345/892 is 1/391588.

Greatest Common Factor of 4441,4345

To find the highest common factor of 4441,4345, we have to find the factors of both numbers and list the highest common factor.

The factors of 4441 are 1, 4441

The factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345

The HCF of 4441,4345 is 1.

Lets's calculate GCF of 4441,4345

Greatest Common Factor (GCF) of 4441,4345 By Common Division

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

Greatest Common Factor of 4441,4345 By Matching Biggest Common Factor Method

Now, list down the factors of 4441

1,4441

Now, list down the factors of 4345

1,5,11,55,79,395,869,4345

Greatest Common Factor

We found the factors 4441,4345 . The biggest common factor number is the GCF number.
So the greatest common factor 4441,4345 is 1.

Lets's calculate LCM of 439,892

Lowest Common Multiple of 439,892 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 391588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/391588

Therefore, the GCF of Fractions 4441/439,4345/892 is 1/391588

Least Common Multiple of 439,892 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 439,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,892) = 1

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

GCF(439,892) x common factors =1 x 1 = 1

LCM(439,892) = ( 439 × 892 ) / 1

LCM(439,892) = 391588 / 1

LCM(439,892) = 391588

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FAQs on GCF of Fractions of 4441/439, 4345/892

1. What is the HCF of 4441,4345?

The HCF of 4441,4345 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 4441/439, 4345/892?

Answer: GCF of Numerators as per given numbers 4441/439, 4345/892 is

GCF of Numerators i.e. for 4441,4345 is 1

LCM of denominators i.e. for 439,892 is 391588.

Thus, GCF of Fractions is 1/391588.Finally, GCF of Fractions for 4441/439, 4345/892 is 1/391588.