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GCF of 441/288, 853/740

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 441/288, 853/740 i.e 1/53280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/288, 853/740.

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 441/288,853/740?

Given fractions are 441/288,853/740

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 441/288,853/740, numerators are 441,853

Denominators are 288,740

The GCF of 441,853 is 1 .

LCM of 288,740 is 53280.

The greatest common factor of 441/288,853/740 = [GCF of 441,853]/[LCM of 288,740]= 1/53280

Therefore, the GCF of 441/288,853/740 is 1/53280.

Greatest Common Factor of 441,853

To find the highest common factor of 441,853, we have to find the factors of both numbers and list the highest common factor.

The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441

The factors of 853 are 1, 853

The HCF of 441,853 is 1.

Lets's calculate GCF of 441,853

Greatest Common Factor (GCF) of 441,853 By Common Division

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

Greatest Common Factor of 441,853 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,853 By Matching Biggest Common Factor Method

Now, list down the factors of 441

:

1,3,7,9,21,49,63,147,441

Now, list down the factors of 853

:

1,853

Greatest Common Factor

We found the factors 441,853 . The biggest common factor number is the GCF number.
So the greatest common factor 441,853 is 1.

Lets's calculate LCM of 288,740

Lowest Common Multiple of 288,740 using Common Division

2 288, 740
2 144, 370
72, 185

∴ So the LCM of the given numbers is 2 x 2 x 72 x 185 = 53280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53280

Therefore, the GCF of Fractions 441/288,853/740 is 1/53280

Least Common Multiple of 288,740 with GCF Formula

Least Common Multiple of 288,740 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 288,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,740) = 4

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

GCF(288,740) x common factors =4 x 1 = 4

LCM(288,740) = ( 288 × 740 ) / 4

LCM(288,740) = 213120 / 4

LCM(288,740) = 53280


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FAQs on GCF of Fractions of 441/288, 853/740

1. What is the HCF of 441,853?

The HCF of 441,853 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 441/288, 853/740?

Answer: GCF of Numerators as per given numbers 441/288, 853/740 is

GCF of Numerators i.e. for 441,853 is 1

LCM of denominators i.e. for 288,740 is 53280.

Thus, GCF of Fractions is 1/53280.Finally, GCF of Fractions for 441/288, 853/740 is 1/53280.