How to Find GCF of 6799/923, 6026/1283?

GCF of 6799/923, 6026/1283

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 6799/923, 6026/1283 i.e 1/1184209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6799/923, 6026/1283.

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 6799/923,6026/1283?

Given fractions are 6799/923,6026/1283

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 6799/923,6026/1283, numerators are 6799,6026

Denominators are 923,1283

The GCF of 6799,6026 is 1 .

LCM of 923,1283 is 1184209.

The greatest common factor of 6799/923,6026/1283 = [GCF of 6799,6026]/[LCM of 923,1283]= 1/1184209

Therefore, the GCF of 6799/923,6026/1283 is 1/1184209.

Greatest Common Factor of 6799,6026

To find the highest common factor of 6799,6026, we have to find the factors of both numbers and list the highest common factor.

The factors of 6799 are 1, 13, 523, 6799

The factors of 6026 are 1, 2, 23, 46, 131, 262, 3013, 6026

The HCF of 6799,6026 is 1.

Lets's calculate GCF of 6799,6026

Greatest Common Factor (GCF) of 6799,6026 By Common Division

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

Greatest Common Factor of 6799,6026 By Matching Biggest Common Factor Method

Now, list down the factors of 6799

1,13,523,6799

Now, list down the factors of 6026

1,2,23,46,131,262,3013,6026

Greatest Common Factor

We found the factors 6799,6026 . The biggest common factor number is the GCF number.
So the greatest common factor 6799,6026 is 1.

Lets's calculate LCM of 923,1283

Lowest Common Multiple of 923,1283 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1184209

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1184209

Therefore, the GCF of Fractions 6799/923,6026/1283 is 1/1184209

Least Common Multiple of 923,1283 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 923,1283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,1283) = 1

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

GCF(923,1283) x common factors =1 x 1 = 1

LCM(923,1283) = ( 923 × 1283 ) / 1

LCM(923,1283) = 1184209 / 1

LCM(923,1283) = 1184209

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FAQs on GCF of Fractions of 6799/923, 6026/1283

1. What is the HCF of 6799,6026?

The HCF of 6799,6026 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 6799/923, 6026/1283?

Answer: GCF of Numerators as per given numbers 6799/923, 6026/1283 is

GCF of Numerators i.e. for 6799,6026 is 1

LCM of denominators i.e. for 923,1283 is 1184209.

Thus, GCF of Fractions is 1/1184209.Finally, GCF of Fractions for 6799/923, 6026/1283 is 1/1184209.