How to Find GCF of 6818/447, 9031/610?

GCF of 6818/447, 9031/610

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 6818/447, 9031/610 i.e 1/272670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6818/447, 9031/610.

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 6818/447,9031/610?

Given fractions are 6818/447,9031/610

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 6818/447,9031/610, numerators are 6818,9031

Denominators are 447,610

The GCF of 6818,9031 is 1 .

LCM of 447,610 is 272670.

The greatest common factor of 6818/447,9031/610 = [GCF of 6818,9031]/[LCM of 447,610]= 1/272670

Therefore, the GCF of 6818/447,9031/610 is 1/272670.

Greatest Common Factor of 6818,9031

To find the highest common factor of 6818,9031, we have to find the factors of both numbers and list the highest common factor.

The factors of 6818 are 1, 2, 7, 14, 487, 974, 3409, 6818

The factors of 9031 are 1, 11, 821, 9031

The HCF of 6818,9031 is 1.

Lets's calculate GCF of 6818,9031

Greatest Common Factor (GCF) of 6818,9031 By Common Division

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

Greatest Common Factor of 6818,9031 By Matching Biggest Common Factor Method

Now, list down the factors of 6818

1,2,7,14,487,974,3409,6818

Now, list down the factors of 9031

1,11,821,9031

Greatest Common Factor

We found the factors 6818,9031 . The biggest common factor number is the GCF number.
So the greatest common factor 6818,9031 is 1.

Lets's calculate LCM of 447,610

Lowest Common Multiple of 447,610 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 272670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272670

Therefore, the GCF of Fractions 6818/447,9031/610 is 1/272670

Least Common Multiple of 447,610 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 447,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,610) = 1

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

GCF(447,610) x common factors =1 x 1 = 1

LCM(447,610) = ( 447 × 610 ) / 1

LCM(447,610) = 272670 / 1

LCM(447,610) = 272670

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FAQs on GCF of Fractions of 6818/447, 9031/610

1. What is the HCF of 6818,9031?

The HCF of 6818,9031 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 6818/447, 9031/610?

Answer: GCF of Numerators as per given numbers 6818/447, 9031/610 is

GCF of Numerators i.e. for 6818,9031 is 1

LCM of denominators i.e. for 447,610 is 272670.

Thus, GCF of Fractions is 1/272670.Finally, GCF of Fractions for 6818/447, 9031/610 is 1/272670.