How to Find GCF of 17/967, 259/326, 853/270?

GCF of 17/967, 259/326, 853/270

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 17/967, 259/326, 853/270 i.e 1/42557670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/967, 259/326, 853/270.

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 17/967,259/326,853/270?

Given fractions are 17/967,259/326,853/270

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 17/967,259/326,853/270, numerators are 17,259,853

Denominators are 967,326,270

The GCF of 17,259,853 is 1 .

LCM of 967,326,270 is 42557670.

The greatest common factor of 17/967,259/326,853/270 = [GCF of 17,259,853]/[LCM of 967,326,270]= 1/42557670

Therefore, the GCF of 17/967,259/326,853/270 is 1/42557670.

Greatest Common Factor of 17,259,853

To find the highest common factor of 17,259,853, 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 259 are 1, 7, 37, 259

The factors of 853 are 1, 853

The HCF of 17,259,853 is 1.

Lets's calculate GCF of 17,259,853

Greatest Common Factor (GCF) of 17,259,853 By Common Division

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

Greatest Common Factor of 17,259,853 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 259

1,7,37,259

Now, list down the factors of 853

1,853

Greatest Common Factor

We found the factors 17,259,853 . The biggest common factor number is the GCF number.
So the greatest common factor 17,259,853 is 1.

Lets's calculate LCM of 967,326,270

Lowest Common Multiple of 967,326,270 using Common Division

2	967, 326, 270
	967, 163, 135

∴ So the LCM of the given numbers is 2 x 967 x 163 x 135 = 42557670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42557670

Therefore, the GCF of Fractions 17/967,259/326,853/270 is 1/42557670

Least Common Multiple of 967,326,270 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 967,326,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,326,270) = 1

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

GCF(967,326,270) x common factors =1 x 2 = 2

LCM(967,326,270) = ( 967 × 326 × 270 ) / 2

LCM(967,326,270) = 85115340 / 2

LCM(967,326,270) = 42557670

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 17/967, 259/326, 853/270

1. What is the HCF of 17,259,853?

The HCF of 17,259,853 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 17/967, 259/326, 853/270?

Answer: GCF of Numerators as per given numbers 17/967, 259/326, 853/270 is

GCF of Numerators i.e. for 17,259,853 is 1

LCM of denominators i.e. for 967,326,270 is 42557670.

Thus, GCF of Fractions is 1/42557670.Finally, GCF of Fractions for 17/967, 259/326, 853/270 is 1/42557670.