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GCF of 659/17, 143/240

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 659/17, 143/240 i.e 1/4080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 659/17, 143/240.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 659/17,143/240?

Given fractions are 659/17,143/240

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 659/17,143/240, numerators are 659,143

Denominators are 17,240

The GCF of 659,143 is 1 .

LCM of 17,240 is 4080.

The greatest common factor of 659/17,143/240 = [GCF of 659,143]/[LCM of 17,240]= 1/4080

Therefore, the GCF of 659/17,143/240 is 1/4080.

Greatest Common Factor of 659,143

To find the highest common factor of 659,143, we have to find the factors of both numbers and list the highest common factor.

The factors of 659 are 1, 659

The factors of 143 are 1, 11, 13, 143

The HCF of 659,143 is 1.

Lets's calculate GCF of 659,143

Greatest Common Factor (GCF) of 659,143 By Common Division

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

Greatest Common Factor of 659,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,143 By Matching Biggest Common Factor Method

Now, list down the factors of 659

:

1,659

Now, list down the factors of 143

:

1,11,13,143

Greatest Common Factor

We found the factors 659,143 . The biggest common factor number is the GCF number.
So the greatest common factor 659,143 is 1.

Lets's calculate LCM of 17,240

Lowest Common Multiple of 17,240 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4080

Therefore, the GCF of Fractions 659/17,143/240 is 1/4080

Least Common Multiple of 17,240 with GCF Formula

Least Common Multiple of 17,240 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 17,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,240) = 1

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

GCF(17,240) x common factors =1 x 1 = 1

LCM(17,240) = ( 17 × 240 ) / 1

LCM(17,240) = 4080 / 1

LCM(17,240) = 4080


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FAQs on GCF of Fractions of 659/17, 143/240

1. What is the HCF of 659,143?

The HCF of 659,143 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 659/17, 143/240?

Answer: GCF of Numerators as per given numbers 659/17, 143/240 is

GCF of Numerators i.e. for 659,143 is 1

LCM of denominators i.e. for 17,240 is 4080.

Thus, GCF of Fractions is 1/4080.Finally, GCF of Fractions for 659/17, 143/240 is 1/4080.