How to Find GCF of 43/75, 38/657, 914/901?

GCF of 43/75, 38/657, 914/901

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 43/75, 38/657, 914/901 i.e 1/14798925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/75, 38/657, 914/901.

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 43/75,38/657,914/901?

Given fractions are 43/75,38/657,914/901

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 43/75,38/657,914/901, numerators are 43,38,914

Denominators are 75,657,901

The GCF of 43,38,914 is 1 .

LCM of 75,657,901 is 14798925.

The greatest common factor of 43/75,38/657,914/901 = [GCF of 43,38,914]/[LCM of 75,657,901]= 1/14798925

Therefore, the GCF of 43/75,38/657,914/901 is 1/14798925.

Greatest Common Factor of 43,38,914

To find the highest common factor of 43,38,914, we have to find the factors of both numbers and list the highest common factor.

The factors of 43 are 1, 43

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

The factors of 914 are 1, 2, 457, 914

The HCF of 43,38,914 is 1.

Lets's calculate GCF of 43,38,914

Greatest Common Factor (GCF) of 43,38,914 By Common Division

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

Greatest Common Factor of 43,38,914 By Matching Biggest Common Factor Method

Now, list down the factors of 43

1,43

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 914

1,2,457,914

Greatest Common Factor

We found the factors 43,38,914 . The biggest common factor number is the GCF number.
So the greatest common factor 43,38,914 is 1.

Lets's calculate LCM of 75,657,901

Lowest Common Multiple of 75,657,901 using Common Division

3	75, 657, 901
	25, 219, 901

∴ So the LCM of the given numbers is 3 x 25 x 219 x 901 = 14798925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14798925

Therefore, the GCF of Fractions 43/75,38/657,914/901 is 1/14798925

Least Common Multiple of 75,657,901 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 75,657,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,657,901) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,657,901) x common factors =1 x 3 = 3

LCM(75,657,901) = ( 75 × 657 × 901 ) / 3

LCM(75,657,901) = 44396775 / 3

LCM(75,657,901) = 14798925

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 43/75, 38/657, 914/901

1. What is the HCF of 43,38,914?

The HCF of 43,38,914 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 43/75, 38/657, 914/901?

Answer: GCF of Numerators as per given numbers 43/75, 38/657, 914/901 is

GCF of Numerators i.e. for 43,38,914 is 1

LCM of denominators i.e. for 75,657,901 is 14798925.

Thus, GCF of Fractions is 1/14798925.Finally, GCF of Fractions for 43/75, 38/657, 914/901 is 1/14798925.