How to Find GCF of 8846/826, 8046/8511?

GCF of 8846/826, 8046/8511

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 8846/826, 8046/8511 i.e 2/7030086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8846/826, 8046/8511.

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 8846/826,8046/8511?

Given fractions are 8846/826,8046/8511

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 8846/826,8046/8511, numerators are 8846,8046

Denominators are 826,8511

The GCF of 8846,8046 is 2 .

LCM of 826,8511 is 7030086.

The greatest common factor of 8846/826,8046/8511 = [GCF of 8846,8046]/[LCM of 826,8511]= 2/7030086

Therefore, the GCF of 8846/826,8046/8511 is 2/7030086.

Greatest Common Factor of 8846,8046

To find the highest common factor of 8846,8046, we have to find the factors of both numbers and list the highest common factor.

The factors of 8846 are 1, 2, 4423, 8846

The factors of 8046 are 1, 2, 3, 6, 9, 18, 27, 54, 149, 298, 447, 894, 1341, 2682, 4023, 8046

The HCF of 8846,8046 is 2.

Lets's calculate GCF of 8846,8046

Greatest Common Factor (GCF) of 8846,8046 By Common Division

2	8846, 8046
	4423, 4023

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8846,8046 By Matching Biggest Common Factor Method

Now, list down the factors of 8846

1,2,4423,8846

Now, list down the factors of 8046

1,2,3,6,9,18,27,54,149,298,447,894,1341,2682,4023,8046

Greatest Common Factor

We found the factors 8846,8046 . The biggest common factor number is the GCF number.
So the greatest common factor 8846,8046 is 2.

Lets's calculate LCM of 826,8511

Lowest Common Multiple of 826,8511 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7030086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7030086

Therefore, the GCF of Fractions 8846/826,8046/8511 is 2/7030086

Least Common Multiple of 826,8511 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 826,8511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,8511) = 1

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

GCF(826,8511) x common factors =1 x 1 = 1

LCM(826,8511) = ( 826 × 8511 ) / 1

LCM(826,8511) = 7030086 / 1

LCM(826,8511) = 7030086

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8846/826, 8046/8511

1. What is the HCF of 8846,8046?

The HCF of 8846,8046 is 2

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 8846/826, 8046/8511?

Answer: GCF of Numerators as per given numbers 8846/826, 8046/8511 is

GCF of Numerators i.e. for 8846,8046 is 2

LCM of denominators i.e. for 826,8511 is 7030086.

Thus, GCF of Fractions is 2/7030086.Finally, GCF of Fractions for 8846/826, 8046/8511 is 2/7030086.