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GCF of 829/923, 893/385

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 829/923, 893/385 i.e 1/355355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 829/923, 893/385.

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 829/923,893/385?

Given fractions are 829/923,893/385

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 829/923,893/385, numerators are 829,893

Denominators are 923,385

The GCF of 829,893 is 1 .

LCM of 923,385 is 355355.

The greatest common factor of 829/923,893/385 = [GCF of 829,893]/[LCM of 923,385]= 1/355355

Therefore, the GCF of 829/923,893/385 is 1/355355.

Greatest Common Factor of 829,893

To find the highest common factor of 829,893, we have to find the factors of both numbers and list the highest common factor.

The factors of 829 are 1, 829

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

The HCF of 829,893 is 1.

Lets's calculate GCF of 829,893

Greatest Common Factor (GCF) of 829,893 By Common Division

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

Greatest Common Factor of 829,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,893 By Matching Biggest Common Factor Method

Now, list down the factors of 829

:

1,829

Now, list down the factors of 893

:

1,19,47,893

Greatest Common Factor

We found the factors 829,893 . The biggest common factor number is the GCF number.
So the greatest common factor 829,893 is 1.

Lets's calculate LCM of 923,385

Lowest Common Multiple of 923,385 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 355355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355355

Therefore, the GCF of Fractions 829/923,893/385 is 1/355355

Least Common Multiple of 923,385 with GCF Formula

Least Common Multiple of 923,385 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 923,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,385) = 1

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

GCF(923,385) x common factors =1 x 1 = 1

LCM(923,385) = ( 923 × 385 ) / 1

LCM(923,385) = 355355 / 1

LCM(923,385) = 355355


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FAQs on GCF of Fractions of 829/923, 893/385

1. What is the HCF of 829,893?

The HCF of 829,893 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 829/923, 893/385?

Answer: GCF of Numerators as per given numbers 829/923, 893/385 is

GCF of Numerators i.e. for 829,893 is 1

LCM of denominators i.e. for 923,385 is 355355.

Thus, GCF of Fractions is 1/355355.Finally, GCF of Fractions for 829/923, 893/385 is 1/355355.