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GCF of 817/922, 923/170

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 817/922, 923/170 i.e 1/78370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 817/922, 923/170.

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 817/922,923/170?

Given fractions are 817/922,923/170

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 817/922,923/170, numerators are 817,923

Denominators are 922,170

The GCF of 817,923 is 1 .

LCM of 922,170 is 78370.

The greatest common factor of 817/922,923/170 = [GCF of 817,923]/[LCM of 922,170]= 1/78370

Therefore, the GCF of 817/922,923/170 is 1/78370.

Greatest Common Factor of 817,923

To find the highest common factor of 817,923, 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 923 are 1, 13, 71, 923

The HCF of 817,923 is 1.

Lets's calculate GCF of 817,923

Greatest Common Factor (GCF) of 817,923 By Common Division

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

Greatest Common Factor of 817,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,923 By Matching Biggest Common Factor Method

Now, list down the factors of 817

:

1,19,43,817

Now, list down the factors of 923

:

1,13,71,923

Greatest Common Factor

We found the factors 817,923 . The biggest common factor number is the GCF number.
So the greatest common factor 817,923 is 1.

Lets's calculate LCM of 922,170

Lowest Common Multiple of 922,170 using Common Division

2 922, 170
461, 85

∴ So the LCM of the given numbers is 2 x 461 x 85 = 78370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78370

Therefore, the GCF of Fractions 817/922,923/170 is 1/78370

Least Common Multiple of 922,170 with GCF Formula

Least Common Multiple of 922,170 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 922,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,170) = 2

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

GCF(922,170) x common factors =2 x 1 = 2

LCM(922,170) = ( 922 × 170 ) / 2

LCM(922,170) = 156740 / 2

LCM(922,170) = 78370


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FAQs on GCF of Fractions of 817/922, 923/170

1. What is the HCF of 817,923?

The HCF of 817,923 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 817/922, 923/170?

Answer: GCF of Numerators as per given numbers 817/922, 923/170 is

GCF of Numerators i.e. for 817,923 is 1

LCM of denominators i.e. for 922,170 is 78370.

Thus, GCF of Fractions is 1/78370.Finally, GCF of Fractions for 817/922, 923/170 is 1/78370.