How to Find GCF of 17/673, 275/560, 156/514?

GCF of 17/673, 275/560, 156/514

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 17/673, 275/560, 156/514 i.e 1/96858160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/673, 275/560, 156/514.

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 17/673,275/560,156/514?

Given fractions are 17/673,275/560,156/514

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 17/673,275/560,156/514, numerators are 17,275,156

Denominators are 673,560,514

The GCF of 17,275,156 is 1 .

LCM of 673,560,514 is 96858160.

The greatest common factor of 17/673,275/560,156/514 = [GCF of 17,275,156]/[LCM of 673,560,514]= 1/96858160

Therefore, the GCF of 17/673,275/560,156/514 is 1/96858160.

Greatest Common Factor of 17,275,156

To find the highest common factor of 17,275,156, 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 275 are 1, 5, 11, 25, 55, 275

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

The HCF of 17,275,156 is 1.

Lets's calculate GCF of 17,275,156

Greatest Common Factor (GCF) of 17,275,156 By Common Division

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

Greatest Common Factor of 17,275,156 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 275

1,5,11,25,55,275

Now, list down the factors of 156

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 17,275,156 . The biggest common factor number is the GCF number.
So the greatest common factor 17,275,156 is 1.

Lets's calculate LCM of 673,560,514

Lowest Common Multiple of 673,560,514 using Common Division

2	673, 560, 514
	673, 280, 257

∴ So the LCM of the given numbers is 2 x 673 x 280 x 257 = 96858160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96858160

Therefore, the GCF of Fractions 17/673,275/560,156/514 is 1/96858160

Least Common Multiple of 673,560,514 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 673,560,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,560,514) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(673,560,514) x common factors =1 x 2 = 2

LCM(673,560,514) = ( 673 × 560 × 514 ) / 2

LCM(673,560,514) = 193716320 / 2

LCM(673,560,514) = 96858160

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 17/673, 275/560, 156/514

1. What is the HCF of 17,275,156?

The HCF of 17,275,156 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 17/673, 275/560, 156/514?

Answer: GCF of Numerators as per given numbers 17/673, 275/560, 156/514 is

GCF of Numerators i.e. for 17,275,156 is 1

LCM of denominators i.e. for 673,560,514 is 96858160.

Thus, GCF of Fractions is 1/96858160.Finally, GCF of Fractions for 17/673, 275/560, 156/514 is 1/96858160.