How to Find GCF of 885/683, 6074/728?

GCF of 885/683, 6074/728

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 885/683, 6074/728 i.e 1/497224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 885/683, 6074/728.

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 885/683,6074/728?

Given fractions are 885/683,6074/728

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 885/683,6074/728, numerators are 885,6074

Denominators are 683,728

The GCF of 885,6074 is 1 .

LCM of 683,728 is 497224.

The greatest common factor of 885/683,6074/728 = [GCF of 885,6074]/[LCM of 683,728]= 1/497224

Therefore, the GCF of 885/683,6074/728 is 1/497224.

Greatest Common Factor of 885,6074

To find the highest common factor of 885,6074, we have to find the factors of both numbers and list the highest common factor.

The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885

The factors of 6074 are 1, 2, 3037, 6074

The HCF of 885,6074 is 1.

Lets's calculate GCF of 885,6074

Greatest Common Factor (GCF) of 885,6074 By Common Division

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

Greatest Common Factor of 885,6074 By Matching Biggest Common Factor Method

Now, list down the factors of 885

1,3,5,15,59,177,295,885

Now, list down the factors of 6074

1,2,3037,6074

Greatest Common Factor

We found the factors 885,6074 . The biggest common factor number is the GCF number.
So the greatest common factor 885,6074 is 1.

Lets's calculate LCM of 683,728

Lowest Common Multiple of 683,728 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 497224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497224

Therefore, the GCF of Fractions 885/683,6074/728 is 1/497224

Least Common Multiple of 683,728 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 683,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,728) = 1

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

GCF(683,728) x common factors =1 x 1 = 1

LCM(683,728) = ( 683 × 728 ) / 1

LCM(683,728) = 497224 / 1

LCM(683,728) = 497224

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FAQs on GCF of Fractions of 885/683, 6074/728

1. What is the HCF of 885,6074?

The HCF of 885,6074 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 885/683, 6074/728?

Answer: GCF of Numerators as per given numbers 885/683, 6074/728 is

GCF of Numerators i.e. for 885,6074 is 1

LCM of denominators i.e. for 683,728 is 497224.

Thus, GCF of Fractions is 1/497224.Finally, GCF of Fractions for 885/683, 6074/728 is 1/497224.