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GCF of 817/85, 161/768

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 817/85, 161/768 i.e 1/65280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 817/85, 161/768.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 817/85,161/768?

Given fractions are 817/85,161/768

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 817/85,161/768, numerators are 817,161

Denominators are 85,768

The GCF of 817,161 is 1 .

LCM of 85,768 is 65280.

The greatest common factor of 817/85,161/768 = [GCF of 817,161]/[LCM of 85,768]= 1/65280

Therefore, the GCF of 817/85,161/768 is 1/65280.

Greatest Common Factor of 817,161

To find the highest common factor of 817,161, we have to find the factors of both numbers and list the highest common factor.

The factors of 817 are 1, 19, 43, 817

The factors of 161 are 1, 7, 23, 161

The HCF of 817,161 is 1.

Lets's calculate GCF of 817,161

Greatest Common Factor (GCF) of 817,161 By Common Division

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

Greatest Common Factor of 817,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,161 By Matching Biggest Common Factor Method

Now, list down the factors of 817

:

1,19,43,817

Now, list down the factors of 161

:

1,7,23,161

Greatest Common Factor

We found the factors 817,161 . The biggest common factor number is the GCF number.
So the greatest common factor 817,161 is 1.

Lets's calculate LCM of 85,768

Lowest Common Multiple of 85,768 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 65280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65280

Therefore, the GCF of Fractions 817/85,161/768 is 1/65280

Least Common Multiple of 85,768 with GCF Formula

Least Common Multiple of 85,768 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 85,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,768) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(85,768) x common factors =1 x 1 = 1

LCM(85,768) = ( 85 × 768 ) / 1

LCM(85,768) = 65280 / 1

LCM(85,768) = 65280


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FAQs on GCF of Fractions of 817/85, 161/768

1. What is the HCF of 817,161?

The HCF of 817,161 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 817/85, 161/768?

Answer: GCF of Numerators as per given numbers 817/85, 161/768 is

GCF of Numerators i.e. for 817,161 is 1

LCM of denominators i.e. for 85,768 is 65280.

Thus, GCF of Fractions is 1/65280.Finally, GCF of Fractions for 817/85, 161/768 is 1/65280.