How to Find GCF of 8090/985, 4209/8246?

GCF of 8090/985, 4209/8246

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 8090/985, 4209/8246 i.e 1/8122310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8090/985, 4209/8246.

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 8090/985,4209/8246?

Given fractions are 8090/985,4209/8246

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 8090/985,4209/8246, numerators are 8090,4209

Denominators are 985,8246

The GCF of 8090,4209 is 1 .

LCM of 985,8246 is 8122310.

The greatest common factor of 8090/985,4209/8246 = [GCF of 8090,4209]/[LCM of 985,8246]= 1/8122310

Therefore, the GCF of 8090/985,4209/8246 is 1/8122310.

Greatest Common Factor of 8090,4209

To find the highest common factor of 8090,4209, we have to find the factors of both numbers and list the highest common factor.

The factors of 8090 are 1, 2, 5, 10, 809, 1618, 4045, 8090

The factors of 4209 are 1, 3, 23, 61, 69, 183, 1403, 4209

The HCF of 8090,4209 is 1.

Lets's calculate GCF of 8090,4209

Greatest Common Factor (GCF) of 8090,4209 By Common Division

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

Greatest Common Factor of 8090,4209 By Matching Biggest Common Factor Method

Now, list down the factors of 8090

1,2,5,10,809,1618,4045,8090

Now, list down the factors of 4209

1,3,23,61,69,183,1403,4209

Greatest Common Factor

We found the factors 8090,4209 . The biggest common factor number is the GCF number.
So the greatest common factor 8090,4209 is 1.

Lets's calculate LCM of 985,8246

Lowest Common Multiple of 985,8246 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8122310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8122310

Therefore, the GCF of Fractions 8090/985,4209/8246 is 1/8122310

Least Common Multiple of 985,8246 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 985,8246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,8246) = 1

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

GCF(985,8246) x common factors =1 x 1 = 1

LCM(985,8246) = ( 985 × 8246 ) / 1

LCM(985,8246) = 8122310 / 1

LCM(985,8246) = 8122310

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FAQs on GCF of Fractions of 8090/985, 4209/8246

1. What is the HCF of 8090,4209?

The HCF of 8090,4209 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 8090/985, 4209/8246?

Answer: GCF of Numerators as per given numbers 8090/985, 4209/8246 is

GCF of Numerators i.e. for 8090,4209 is 1

LCM of denominators i.e. for 985,8246 is 8122310.

Thus, GCF of Fractions is 1/8122310.Finally, GCF of Fractions for 8090/985, 4209/8246 is 1/8122310.