How to Find GCF of 5269/997, 6092/8358?

GCF of 5269/997, 6092/8358

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 5269/997, 6092/8358 i.e 1/8332926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5269/997, 6092/8358.

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 5269/997,6092/8358?

Given fractions are 5269/997,6092/8358

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 5269/997,6092/8358, numerators are 5269,6092

Denominators are 997,8358

The GCF of 5269,6092 is 1 .

LCM of 997,8358 is 8332926.

The greatest common factor of 5269/997,6092/8358 = [GCF of 5269,6092]/[LCM of 997,8358]= 1/8332926

Therefore, the GCF of 5269/997,6092/8358 is 1/8332926.

Greatest Common Factor of 5269,6092

To find the highest common factor of 5269,6092, we have to find the factors of both numbers and list the highest common factor.

The factors of 5269 are 1, 11, 479, 5269

The factors of 6092 are 1, 2, 4, 1523, 3046, 6092

The HCF of 5269,6092 is 1.

Lets's calculate GCF of 5269,6092

Greatest Common Factor (GCF) of 5269,6092 By Common Division

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

Greatest Common Factor of 5269,6092 By Matching Biggest Common Factor Method

Now, list down the factors of 5269

1,11,479,5269

Now, list down the factors of 6092

1,2,4,1523,3046,6092

Greatest Common Factor

We found the factors 5269,6092 . The biggest common factor number is the GCF number.
So the greatest common factor 5269,6092 is 1.

Lets's calculate LCM of 997,8358

Lowest Common Multiple of 997,8358 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8332926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8332926

Therefore, the GCF of Fractions 5269/997,6092/8358 is 1/8332926

Least Common Multiple of 997,8358 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 997,8358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,8358) = 1

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

GCF(997,8358) x common factors =1 x 1 = 1

LCM(997,8358) = ( 997 × 8358 ) / 1

LCM(997,8358) = 8332926 / 1

LCM(997,8358) = 8332926

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FAQs on GCF of Fractions of 5269/997, 6092/8358

1. What is the HCF of 5269,6092?

The HCF of 5269,6092 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 5269/997, 6092/8358?

Answer: GCF of Numerators as per given numbers 5269/997, 6092/8358 is

GCF of Numerators i.e. for 5269,6092 is 1

LCM of denominators i.e. for 997,8358 is 8332926.

Thus, GCF of Fractions is 1/8332926.Finally, GCF of Fractions for 5269/997, 6092/8358 is 1/8332926.