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GCF of 809/892, 4442/585

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 809/892, 4442/585 i.e 1/521820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 809/892, 4442/585.

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 809/892,4442/585?

Given fractions are 809/892,4442/585

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 809/892,4442/585, numerators are 809,4442

Denominators are 892,585

The GCF of 809,4442 is 1 .

LCM of 892,585 is 521820.

The greatest common factor of 809/892,4442/585 = [GCF of 809,4442]/[LCM of 892,585]= 1/521820

Therefore, the GCF of 809/892,4442/585 is 1/521820.

Greatest Common Factor of 809,4442

To find the highest common factor of 809,4442, we have to find the factors of both numbers and list the highest common factor.

The factors of 809 are 1, 809

The factors of 4442 are 1, 2, 2221, 4442

The HCF of 809,4442 is 1.

Lets's calculate GCF of 809,4442

Greatest Common Factor (GCF) of 809,4442 By Common Division

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

Greatest Common Factor of 809,4442 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,4442 By Matching Biggest Common Factor Method

Now, list down the factors of 809

:

1,809

Now, list down the factors of 4442

:

1,2,2221,4442

Greatest Common Factor

We found the factors 809,4442 . The biggest common factor number is the GCF number.
So the greatest common factor 809,4442 is 1.

Lets's calculate LCM of 892,585

Lowest Common Multiple of 892,585 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 521820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521820

Therefore, the GCF of Fractions 809/892,4442/585 is 1/521820

Least Common Multiple of 892,585 with GCF Formula

Least Common Multiple of 892,585 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 892,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,585) = 1

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

GCF(892,585) x common factors =1 x 1 = 1

LCM(892,585) = ( 892 × 585 ) / 1

LCM(892,585) = 521820 / 1

LCM(892,585) = 521820


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FAQs on GCF of Fractions of 809/892, 4442/585

1. What is the HCF of 809,4442?

The HCF of 809,4442 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 809/892, 4442/585?

Answer: GCF of Numerators as per given numbers 809/892, 4442/585 is

GCF of Numerators i.e. for 809,4442 is 1

LCM of denominators i.e. for 892,585 is 521820.

Thus, GCF of Fractions is 1/521820.Finally, GCF of Fractions for 809/892, 4442/585 is 1/521820.