How to Find GCF of 102/54, 382/80, 783/86?

GCF of 102/54, 382/80, 783/86

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 102/54, 382/80, 783/86 i.e 1/92880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 102/54, 382/80, 783/86.

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 102/54,382/80,783/86?

Given fractions are 102/54,382/80,783/86

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 102/54,382/80,783/86, numerators are 102,382,783

Denominators are 54,80,86

The GCF of 102,382,783 is 1 .

LCM of 54,80,86 is 92880.

The greatest common factor of 102/54,382/80,783/86 = [GCF of 102,382,783]/[LCM of 54,80,86]= 1/92880

Therefore, the GCF of 102/54,382/80,783/86 is 1/92880.

Greatest Common Factor of 102,382,783

To find the highest common factor of 102,382,783, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 382 are 1, 2, 191, 382

The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783

The HCF of 102,382,783 is 1.

Lets's calculate GCF of 102,382,783

Greatest Common Factor (GCF) of 102,382,783 By Common Division

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

Greatest Common Factor of 102,382,783 By Matching Biggest Common Factor Method

Now, list down the factors of 102

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

Now, list down the factors of 382

1,2,191,382

Now, list down the factors of 783

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 102,382,783 . The biggest common factor number is the GCF number.
So the greatest common factor 102,382,783 is 1.

Lets's calculate LCM of 54,80,86

Lowest Common Multiple of 54,80,86 using Common Division

2	54, 80, 86
	27, 40, 43

∴ So the LCM of the given numbers is 2 x 27 x 40 x 43 = 92880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92880

Therefore, the GCF of Fractions 102/54,382/80,783/86 is 1/92880

Least Common Multiple of 54,80,86 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 54,80,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,80,86) = 2

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

GCF(54,80,86) x common factors =2 x 2 = 4

LCM(54,80,86) = ( 54 × 80 × 86 ) / 4

LCM(54,80,86) = 371520 / 4

LCM(54,80,86) = 92880

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 102/54, 382/80, 783/86

1. What is the HCF of 102,382,783?

The HCF of 102,382,783 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 102/54, 382/80, 783/86?

Answer: GCF of Numerators as per given numbers 102/54, 382/80, 783/86 is

GCF of Numerators i.e. for 102,382,783 is 1

LCM of denominators i.e. for 54,80,86 is 92880.

Thus, GCF of Fractions is 1/92880.Finally, GCF of Fractions for 102/54, 382/80, 783/86 is 1/92880.