How to Find GCF of 544/17, 610/8678?

GCF of 544/17, 610/8678

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 544/17, 610/8678 i.e 2/147526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/17, 610/8678.

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 544/17,610/8678?

Given fractions are 544/17,610/8678

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 544/17,610/8678, numerators are 544,610

Denominators are 17,8678

The GCF of 544,610 is 2 .

LCM of 17,8678 is 147526.

The greatest common factor of 544/17,610/8678 = [GCF of 544,610]/[LCM of 17,8678]= 2/147526

Therefore, the GCF of 544/17,610/8678 is 2/147526.

Greatest Common Factor of 544,610

To find the highest common factor of 544,610, we have to find the factors of both numbers and list the highest common factor.

The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610

The HCF of 544,610 is 2.

Lets's calculate GCF of 544,610

Greatest Common Factor (GCF) of 544,610 By Common Division

2	544, 610
	272, 305

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 544,610 By Matching Biggest Common Factor Method

Now, list down the factors of 544

1,2,4,8,16,17,32,34,68,136,272,544

Now, list down the factors of 610

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 544,610 . The biggest common factor number is the GCF number.
So the greatest common factor 544,610 is 2.

Lets's calculate LCM of 17,8678

Lowest Common Multiple of 17,8678 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 147526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/147526

Therefore, the GCF of Fractions 544/17,610/8678 is 2/147526

Least Common Multiple of 17,8678 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 17,8678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,8678) = 1

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

GCF(17,8678) x common factors =1 x 1 = 1

LCM(17,8678) = ( 17 × 8678 ) / 1

LCM(17,8678) = 147526 / 1

LCM(17,8678) = 147526

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FAQs on GCF of Fractions of 544/17, 610/8678

1. What is the HCF of 544,610?

The HCF of 544,610 is 2

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 544/17, 610/8678?

Answer: GCF of Numerators as per given numbers 544/17, 610/8678 is

GCF of Numerators i.e. for 544,610 is 2

LCM of denominators i.e. for 17,8678 is 147526.

Thus, GCF of Fractions is 2/147526.Finally, GCF of Fractions for 544/17, 610/8678 is 2/147526.