How to Find GCF of 86/803, 58/380, 641/155?

GCF of 86/803, 58/380, 641/155

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 86/803, 58/380, 641/155 i.e 1/9459340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/803, 58/380, 641/155.

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 86/803,58/380,641/155?

Given fractions are 86/803,58/380,641/155

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 86/803,58/380,641/155, numerators are 86,58,641

Denominators are 803,380,155

The GCF of 86,58,641 is 1 .

LCM of 803,380,155 is 9459340.

The greatest common factor of 86/803,58/380,641/155 = [GCF of 86,58,641]/[LCM of 803,380,155]= 1/9459340

Therefore, the GCF of 86/803,58/380,641/155 is 1/9459340.

Greatest Common Factor of 86,58,641

To find the highest common factor of 86,58,641, we have to find the factors of both numbers and list the highest common factor.

The factors of 86 are 1, 2, 43, 86

The factors of 58 are 1, 2, 29, 58

The factors of 641 are 1, 641

The HCF of 86,58,641 is 1.

Lets's calculate GCF of 86,58,641

Greatest Common Factor (GCF) of 86,58,641 By Common Division

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

Greatest Common Factor of 86,58,641 By Matching Biggest Common Factor Method

Now, list down the factors of 86

1,2,43,86

Now, list down the factors of 58

1,2,29,58

Now, list down the factors of 641

1,641

Greatest Common Factor

We found the factors 86,58,641 . The biggest common factor number is the GCF number.
So the greatest common factor 86,58,641 is 1.

Lets's calculate LCM of 803,380,155

Lowest Common Multiple of 803,380,155 using Common Division

5	803, 380, 155
	803, 76, 31

∴ So the LCM of the given numbers is 5 x 803 x 76 x 31 = 9459340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9459340

Therefore, the GCF of Fractions 86/803,58/380,641/155 is 1/9459340

Least Common Multiple of 803,380,155 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 803,380,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,380,155) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(803,380,155) x common factors =1 x 5 = 5

LCM(803,380,155) = ( 803 × 380 × 155 ) / 5

LCM(803,380,155) = 47296700 / 5

LCM(803,380,155) = 9459340

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FAQs on GCF of Fractions of 86/803, 58/380, 641/155

1. What is the HCF of 86,58,641?

The HCF of 86,58,641 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 86/803, 58/380, 641/155?

Answer: GCF of Numerators as per given numbers 86/803, 58/380, 641/155 is

GCF of Numerators i.e. for 86,58,641 is 1

LCM of denominators i.e. for 803,380,155 is 9459340.

Thus, GCF of Fractions is 1/9459340.Finally, GCF of Fractions for 86/803, 58/380, 641/155 is 1/9459340.