How to Find GCF of 44/23, 36/63, 102/517?

GCF of 44/23, 36/63, 102/517

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 44/23, 36/63, 102/517 i.e 2/749133 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/23, 36/63, 102/517.

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 44/23,36/63,102/517?

Given fractions are 44/23,36/63,102/517

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 44/23,36/63,102/517, numerators are 44,36,102

Denominators are 23,63,517

The GCF of 44,36,102 is 2 .

LCM of 23,63,517 is 749133.

The greatest common factor of 44/23,36/63,102/517 = [GCF of 44,36,102]/[LCM of 23,63,517]= 2/749133

Therefore, the GCF of 44/23,36/63,102/517 is 2/749133.

Greatest Common Factor of 44,36,102

To find the highest common factor of 44,36,102, we have to find the factors of both numbers and list the highest common factor.

The factors of 44 are 1, 2, 4, 11, 22, 44

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102

The HCF of 44,36,102 is 2.

Lets's calculate GCF of 44,36,102

Greatest Common Factor (GCF) of 44,36,102 By Common Division

2	44, 36, 102
	22, 18, 51

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

Greatest Common Factor of 44,36,102 By Matching Biggest Common Factor Method

Now, list down the factors of 44

1,2,4,11,22,44

Now, list down the factors of 36

1,2,3,4,6,9,12,18,36

Now, list down the factors of 102

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 44,36,102 . The biggest common factor number is the GCF number.
So the greatest common factor 44,36,102 is 2.

Lets's calculate LCM of 23,63,517

Lowest Common Multiple of 23,63,517 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 749133

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/749133

Therefore, the GCF of Fractions 44/23,36/63,102/517 is 2/749133

Least Common Multiple of 23,63,517 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 23,63,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,63,517) = 1

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

GCF(23,63,517) x common factors =1 x 1 = 1

LCM(23,63,517) = ( 23 × 63 × 517 ) / 1

LCM(23,63,517) = 749133 / 1

LCM(23,63,517) = 749133

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FAQs on GCF of Fractions of 44/23, 36/63, 102/517

1. What is the HCF of 44,36,102?

The HCF of 44,36,102 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 44/23, 36/63, 102/517?

Answer: GCF of Numerators as per given numbers 44/23, 36/63, 102/517 is

GCF of Numerators i.e. for 44,36,102 is 2

LCM of denominators i.e. for 23,63,517 is 749133.

Thus, GCF of Fractions is 2/749133.Finally, GCF of Fractions for 44/23, 36/63, 102/517 is 2/749133.