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GCF of 893/20, 823/393

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 893/20, 823/393 i.e 1/7860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 893/20, 823/393.

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 893/20,823/393?

Given fractions are 893/20,823/393

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 893/20,823/393, numerators are 893,823

Denominators are 20,393

The GCF of 893,823 is 1 .

LCM of 20,393 is 7860.

The greatest common factor of 893/20,823/393 = [GCF of 893,823]/[LCM of 20,393]= 1/7860

Therefore, the GCF of 893/20,823/393 is 1/7860.

Greatest Common Factor of 893,823

To find the highest common factor of 893,823, we have to find the factors of both numbers and list the highest common factor.

The factors of 893 are 1, 19, 47, 893

The factors of 823 are 1, 823

The HCF of 893,823 is 1.

Lets's calculate GCF of 893,823

Greatest Common Factor (GCF) of 893,823 By Common Division

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

Greatest Common Factor of 893,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,823 By Matching Biggest Common Factor Method

Now, list down the factors of 893

:

1,19,47,893

Now, list down the factors of 823

:

1,823

Greatest Common Factor

We found the factors 893,823 . The biggest common factor number is the GCF number.
So the greatest common factor 893,823 is 1.

Lets's calculate LCM of 20,393

Lowest Common Multiple of 20,393 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7860

Therefore, the GCF of Fractions 893/20,823/393 is 1/7860

Least Common Multiple of 20,393 with GCF Formula

Least Common Multiple of 20,393 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 20,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,393) = 1

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

GCF(20,393) x common factors =1 x 1 = 1

LCM(20,393) = ( 20 × 393 ) / 1

LCM(20,393) = 7860 / 1

LCM(20,393) = 7860


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FAQs on GCF of Fractions of 893/20, 823/393

1. What is the HCF of 893,823?

The HCF of 893,823 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 893/20, 823/393?

Answer: GCF of Numerators as per given numbers 893/20, 823/393 is

GCF of Numerators i.e. for 893,823 is 1

LCM of denominators i.e. for 20,393 is 7860.

Thus, GCF of Fractions is 1/7860.Finally, GCF of Fractions for 893/20, 823/393 is 1/7860.