How to Find GCF of 38/704, 87/786, 533/865?

GCF of 38/704, 87/786, 533/865

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 38/704, 87/786, 533/865 i.e 1/239321280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/704, 87/786, 533/865.

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 38/704,87/786,533/865?

Given fractions are 38/704,87/786,533/865

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 38/704,87/786,533/865, numerators are 38,87,533

Denominators are 704,786,865

The GCF of 38,87,533 is 1 .

LCM of 704,786,865 is 239321280.

The greatest common factor of 38/704,87/786,533/865 = [GCF of 38,87,533]/[LCM of 704,786,865]= 1/239321280

Therefore, the GCF of 38/704,87/786,533/865 is 1/239321280.

Greatest Common Factor of 38,87,533

To find the highest common factor of 38,87,533, 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 87 are 1, 3, 29, 87

The factors of 533 are 1, 13, 41, 533

The HCF of 38,87,533 is 1.

Lets's calculate GCF of 38,87,533

Greatest Common Factor (GCF) of 38,87,533 By Common Division

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

Greatest Common Factor of 38,87,533 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 87

1,3,29,87

Now, list down the factors of 533

1,13,41,533

Greatest Common Factor

We found the factors 38,87,533 . The biggest common factor number is the GCF number.
So the greatest common factor 38,87,533 is 1.

Lets's calculate LCM of 704,786,865

Lowest Common Multiple of 704,786,865 using Common Division

2	704, 786, 865
	352, 393, 865

∴ So the LCM of the given numbers is 2 x 352 x 393 x 865 = 239321280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239321280

Therefore, the GCF of Fractions 38/704,87/786,533/865 is 1/239321280

Least Common Multiple of 704,786,865 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 704,786,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,786,865) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(704,786,865) x common factors =1 x 2 = 2

LCM(704,786,865) = ( 704 × 786 × 865 ) / 2

LCM(704,786,865) = 478642560 / 2

LCM(704,786,865) = 239321280

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 38/704, 87/786, 533/865

1. What is the HCF of 38,87,533?

The HCF of 38,87,533 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 38/704, 87/786, 533/865?

Answer: GCF of Numerators as per given numbers 38/704, 87/786, 533/865 is

GCF of Numerators i.e. for 38,87,533 is 1

LCM of denominators i.e. for 704,786,865 is 239321280.

Thus, GCF of Fractions is 1/239321280.Finally, GCF of Fractions for 38/704, 87/786, 533/865 is 1/239321280.