How to Find GCF of 17/467, 526/676, 566/754?

GCF of 17/467, 526/676, 566/754

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 17/467, 526/676, 566/754 i.e 1/9155068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/467, 526/676, 566/754.

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 17/467,526/676,566/754?

Given fractions are 17/467,526/676,566/754

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 17/467,526/676,566/754, numerators are 17,526,566

Denominators are 467,676,754

The GCF of 17,526,566 is 1 .

LCM of 467,676,754 is 9155068.

The greatest common factor of 17/467,526/676,566/754 = [GCF of 17,526,566]/[LCM of 467,676,754]= 1/9155068

Therefore, the GCF of 17/467,526/676,566/754 is 1/9155068.

Greatest Common Factor of 17,526,566

To find the highest common factor of 17,526,566, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 526 are 1, 2, 263, 526

The factors of 566 are 1, 2, 283, 566

The HCF of 17,526,566 is 1.

Lets's calculate GCF of 17,526,566

Greatest Common Factor (GCF) of 17,526,566 By Common Division

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

Greatest Common Factor of 17,526,566 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 526

1,2,263,526

Now, list down the factors of 566

1,2,283,566

Greatest Common Factor

We found the factors 17,526,566 . The biggest common factor number is the GCF number.
So the greatest common factor 17,526,566 is 1.

Lets's calculate LCM of 467,676,754

Lowest Common Multiple of 467,676,754 using Common Division

2	467, 676, 754
13	467, 338, 377
	467, 26, 29

∴ So the LCM of the given numbers is 2 x 13 x 467 x 26 x 29 = 9155068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9155068

Therefore, the GCF of Fractions 17/467,526/676,566/754 is 1/9155068

Least Common Multiple of 467,676,754 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 467,676,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,676,754) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(467,676,754) x common factors =1 x 26 = 26

LCM(467,676,754) = ( 467 × 676 × 754 ) / 26

LCM(467,676,754) = 238031768 / 26

LCM(467,676,754) = 9155068

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 17/467, 526/676, 566/754

1. What is the HCF of 17,526,566?

The HCF of 17,526,566 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 17/467, 526/676, 566/754?

Answer: GCF of Numerators as per given numbers 17/467, 526/676, 566/754 is

GCF of Numerators i.e. for 17,526,566 is 1

LCM of denominators i.e. for 467,676,754 is 9155068.

Thus, GCF of Fractions is 1/9155068.Finally, GCF of Fractions for 17/467, 526/676, 566/754 is 1/9155068.