How to Find GCF of 7066/485, 8678/7089?

GCF of 7066/485, 8678/7089

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 7066/485, 8678/7089 i.e 2/3438165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7066/485, 8678/7089.

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 7066/485,8678/7089?

Given fractions are 7066/485,8678/7089

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 7066/485,8678/7089, numerators are 7066,8678

Denominators are 485,7089

The GCF of 7066,8678 is 2 .

LCM of 485,7089 is 3438165.

The greatest common factor of 7066/485,8678/7089 = [GCF of 7066,8678]/[LCM of 485,7089]= 2/3438165

Therefore, the GCF of 7066/485,8678/7089 is 2/3438165.

Greatest Common Factor of 7066,8678

To find the highest common factor of 7066,8678, we have to find the factors of both numbers and list the highest common factor.

The factors of 7066 are 1, 2, 3533, 7066

The factors of 8678 are 1, 2, 4339, 8678

The HCF of 7066,8678 is 2.

Lets's calculate GCF of 7066,8678

Greatest Common Factor (GCF) of 7066,8678 By Common Division

2	7066, 8678
	3533, 4339

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

Greatest Common Factor of 7066,8678 By Matching Biggest Common Factor Method

Now, list down the factors of 7066

1,2,3533,7066

Now, list down the factors of 8678

1,2,4339,8678

Greatest Common Factor

We found the factors 7066,8678 . The biggest common factor number is the GCF number.
So the greatest common factor 7066,8678 is 2.

Lets's calculate LCM of 485,7089

Lowest Common Multiple of 485,7089 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3438165

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3438165

Therefore, the GCF of Fractions 7066/485,8678/7089 is 2/3438165

Least Common Multiple of 485,7089 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 485,7089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,7089) = 1

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

GCF(485,7089) x common factors =1 x 1 = 1

LCM(485,7089) = ( 485 × 7089 ) / 1

LCM(485,7089) = 3438165 / 1

LCM(485,7089) = 3438165

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FAQs on GCF of Fractions of 7066/485, 8678/7089

1. What is the HCF of 7066,8678?

The HCF of 7066,8678 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 7066/485, 8678/7089?

Answer: GCF of Numerators as per given numbers 7066/485, 8678/7089 is

GCF of Numerators i.e. for 7066,8678 is 2

LCM of denominators i.e. for 485,7089 is 3438165.

Thus, GCF of Fractions is 2/3438165.Finally, GCF of Fractions for 7066/485, 8678/7089 is 2/3438165.