How to Find GCF of 793/21, 923/8875?

GCF of 793/21, 923/8875

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 793/21, 923/8875 i.e 13/186375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/21, 923/8875.

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 793/21,923/8875?

Given fractions are 793/21,923/8875

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 793/21,923/8875, numerators are 793,923

Denominators are 21,8875

The GCF of 793,923 is 13 .

LCM of 21,8875 is 186375.

The greatest common factor of 793/21,923/8875 = [GCF of 793,923]/[LCM of 21,8875]= 13/186375

Therefore, the GCF of 793/21,923/8875 is 13/186375.

Greatest Common Factor of 793,923

To find the highest common factor of 793,923, we have to find the factors of both numbers and list the highest common factor.

The factors of 793 are 1, 13, 61, 793

The factors of 923 are 1, 13, 71, 923

The HCF of 793,923 is 13.

Lets's calculate GCF of 793,923

Greatest Common Factor (GCF) of 793,923 By Common Division

13	793, 923
	61, 71

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 793,923 By Matching Biggest Common Factor Method

Now, list down the factors of 793

1,13,61,793

Now, list down the factors of 923

1,13,71,923

Greatest Common Factor

We found the factors 793,923 . The biggest common factor number is the GCF number.
So the greatest common factor 793,923 is 13.

Lets's calculate LCM of 21,8875

Lowest Common Multiple of 21,8875 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 186375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/186375

Therefore, the GCF of Fractions 793/21,923/8875 is 13/186375

Least Common Multiple of 21,8875 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 21,8875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,8875) = 1

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

GCF(21,8875) x common factors =1 x 1 = 1

LCM(21,8875) = ( 21 × 8875 ) / 1

LCM(21,8875) = 186375 / 1

LCM(21,8875) = 186375

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FAQs on GCF of Fractions of 793/21, 923/8875

1. What is the HCF of 793,923?

The HCF of 793,923 is 13

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 793/21, 923/8875?

Answer: GCF of Numerators as per given numbers 793/21, 923/8875 is

GCF of Numerators i.e. for 793,923 is 13

LCM of denominators i.e. for 21,8875 is 186375.

Thus, GCF of Fractions is 13/186375.Finally, GCF of Fractions for 793/21, 923/8875 is 13/186375.