How to Find GCF of 38/745, 21/188, 173/716?

GCF of 38/745, 21/188, 173/716

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 38/745, 21/188, 173/716 i.e 1/25070740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/745, 21/188, 173/716.

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 38/745,21/188,173/716?

Given fractions are 38/745,21/188,173/716

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 38/745,21/188,173/716, numerators are 38,21,173

Denominators are 745,188,716

The GCF of 38,21,173 is 1 .

LCM of 745,188,716 is 25070740.

The greatest common factor of 38/745,21/188,173/716 = [GCF of 38,21,173]/[LCM of 745,188,716]= 1/25070740

Therefore, the GCF of 38/745,21/188,173/716 is 1/25070740.

Greatest Common Factor of 38,21,173

To find the highest common factor of 38,21,173, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 21 are 1, 3, 7, 21

The factors of 173 are 1, 173

The HCF of 38,21,173 is 1.

Lets's calculate GCF of 38,21,173

Greatest Common Factor (GCF) of 38,21,173 By Common Division

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

Greatest Common Factor of 38,21,173 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 173

1,173

Greatest Common Factor

We found the factors 38,21,173 . The biggest common factor number is the GCF number.
So the greatest common factor 38,21,173 is 1.

Lets's calculate LCM of 745,188,716

Lowest Common Multiple of 745,188,716 using Common Division

2	745, 188, 716
2	745, 94, 358
	745, 47, 179

∴ So the LCM of the given numbers is 2 x 2 x 745 x 47 x 179 = 25070740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25070740

Therefore, the GCF of Fractions 38/745,21/188,173/716 is 1/25070740

Least Common Multiple of 745,188,716 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 745,188,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,188,716) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(745,188,716) x common factors =1 x 4 = 4

LCM(745,188,716) = ( 745 × 188 × 716 ) / 4

LCM(745,188,716) = 100282960 / 4

LCM(745,188,716) = 25070740

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FAQs on GCF of Fractions of 38/745, 21/188, 173/716

1. What is the HCF of 38,21,173?

The HCF of 38,21,173 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 38/745, 21/188, 173/716?

Answer: GCF of Numerators as per given numbers 38/745, 21/188, 173/716 is

GCF of Numerators i.e. for 38,21,173 is 1

LCM of denominators i.e. for 745,188,716 is 25070740.

Thus, GCF of Fractions is 1/25070740.Finally, GCF of Fractions for 38/745, 21/188, 173/716 is 1/25070740.