How to Find GCF of 86/646, 73/956, 398/253?

GCF of 86/646, 73/956, 398/253

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 86/646, 73/956, 398/253 i.e 1/78123364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/646, 73/956, 398/253.

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 86/646,73/956,398/253?

Given fractions are 86/646,73/956,398/253

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 86/646,73/956,398/253, numerators are 86,73,398

Denominators are 646,956,253

The GCF of 86,73,398 is 1 .

LCM of 646,956,253 is 78123364.

The greatest common factor of 86/646,73/956,398/253 = [GCF of 86,73,398]/[LCM of 646,956,253]= 1/78123364

Therefore, the GCF of 86/646,73/956,398/253 is 1/78123364.

Greatest Common Factor of 86,73,398

To find the highest common factor of 86,73,398, 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 73 are 1, 73

The factors of 398 are 1, 2, 199, 398

The HCF of 86,73,398 is 1.

Lets's calculate GCF of 86,73,398

Greatest Common Factor (GCF) of 86,73,398 By Common Division

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

Greatest Common Factor of 86,73,398 By Matching Biggest Common Factor Method

Now, list down the factors of 86

1,2,43,86

Now, list down the factors of 73

1,73

Now, list down the factors of 398

1,2,199,398

Greatest Common Factor

We found the factors 86,73,398 . The biggest common factor number is the GCF number.
So the greatest common factor 86,73,398 is 1.

Lets's calculate LCM of 646,956,253

Lowest Common Multiple of 646,956,253 using Common Division

2	646, 956, 253
	323, 478, 253

∴ So the LCM of the given numbers is 2 x 323 x 478 x 253 = 78123364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78123364

Therefore, the GCF of Fractions 86/646,73/956,398/253 is 1/78123364

Least Common Multiple of 646,956,253 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 646,956,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,956,253) = 1

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

GCF(646,956,253) x common factors =1 x 2 = 2

LCM(646,956,253) = ( 646 × 956 × 253 ) / 2

LCM(646,956,253) = 156246728 / 2

LCM(646,956,253) = 78123364

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 86/646, 73/956, 398/253

1. What is the HCF of 86,73,398?

The HCF of 86,73,398 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 86/646, 73/956, 398/253?

Answer: GCF of Numerators as per given numbers 86/646, 73/956, 398/253 is

GCF of Numerators i.e. for 86,73,398 is 1

LCM of denominators i.e. for 646,956,253 is 78123364.

Thus, GCF of Fractions is 1/78123364.Finally, GCF of Fractions for 86/646, 73/956, 398/253 is 1/78123364.