How to Find GCF of 43/511, 11/683, 991/682?

GCF of 43/511, 11/683, 991/682

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 43/511, 11/683, 991/682 i.e 1/238026866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/511, 11/683, 991/682.

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 43/511,11/683,991/682?

Given fractions are 43/511,11/683,991/682

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 43/511,11/683,991/682, numerators are 43,11,991

Denominators are 511,683,682

The GCF of 43,11,991 is 1 .

LCM of 511,683,682 is 238026866.

The greatest common factor of 43/511,11/683,991/682 = [GCF of 43,11,991]/[LCM of 511,683,682]= 1/238026866

Therefore, the GCF of 43/511,11/683,991/682 is 1/238026866.

Greatest Common Factor of 43,11,991

To find the highest common factor of 43,11,991, we have to find the factors of both numbers and list the highest common factor.

The factors of 43 are 1, 43

The factors of 11 are 1, 11

The factors of 991 are 1, 991

The HCF of 43,11,991 is 1.

Lets's calculate GCF of 43,11,991

Greatest Common Factor (GCF) of 43,11,991 By Common Division

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

Greatest Common Factor of 43,11,991 By Matching Biggest Common Factor Method

Now, list down the factors of 43

1,43

Now, list down the factors of 11

1,11

Now, list down the factors of 991

1,991

Greatest Common Factor

We found the factors 43,11,991 . The biggest common factor number is the GCF number.
So the greatest common factor 43,11,991 is 1.

Lets's calculate LCM of 511,683,682

Lowest Common Multiple of 511,683,682 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 238026866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238026866

Therefore, the GCF of Fractions 43/511,11/683,991/682 is 1/238026866

Least Common Multiple of 511,683,682 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 511,683,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,683,682) = 1

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

GCF(511,683,682) x common factors =1 x 1 = 1

LCM(511,683,682) = ( 511 × 683 × 682 ) / 1

LCM(511,683,682) = 238026866 / 1

LCM(511,683,682) = 238026866

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FAQs on GCF of Fractions of 43/511, 11/683, 991/682

1. What is the HCF of 43,11,991?

The HCF of 43,11,991 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 43/511, 11/683, 991/682?

Answer: GCF of Numerators as per given numbers 43/511, 11/683, 991/682 is

GCF of Numerators i.e. for 43,11,991 is 1

LCM of denominators i.e. for 511,683,682 is 238026866.

Thus, GCF of Fractions is 1/238026866.Finally, GCF of Fractions for 43/511, 11/683, 991/682 is 1/238026866.