How to Find GCF of 9323/926, 5249/1463?

GCF of 9323/926, 5249/1463

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 9323/926, 5249/1463 i.e 1/1354738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9323/926, 5249/1463.

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 9323/926,5249/1463?

Given fractions are 9323/926,5249/1463

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 9323/926,5249/1463, numerators are 9323,5249

Denominators are 926,1463

The GCF of 9323,5249 is 1 .

LCM of 926,1463 is 1354738.

The greatest common factor of 9323/926,5249/1463 = [GCF of 9323,5249]/[LCM of 926,1463]= 1/1354738

Therefore, the GCF of 9323/926,5249/1463 is 1/1354738.

Greatest Common Factor of 9323,5249

To find the highest common factor of 9323,5249, we have to find the factors of both numbers and list the highest common factor.

The factors of 9323 are 1, 9323

The factors of 5249 are 1, 29, 181, 5249

The HCF of 9323,5249 is 1.

Lets's calculate GCF of 9323,5249

Greatest Common Factor (GCF) of 9323,5249 By Common Division

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

Greatest Common Factor of 9323,5249 By Matching Biggest Common Factor Method

Now, list down the factors of 9323

1,9323

Now, list down the factors of 5249

1,29,181,5249

Greatest Common Factor

We found the factors 9323,5249 . The biggest common factor number is the GCF number.
So the greatest common factor 9323,5249 is 1.

Lets's calculate LCM of 926,1463

Lowest Common Multiple of 926,1463 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1354738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1354738

Therefore, the GCF of Fractions 9323/926,5249/1463 is 1/1354738

Least Common Multiple of 926,1463 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 926,1463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,1463) = 1

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

GCF(926,1463) x common factors =1 x 1 = 1

LCM(926,1463) = ( 926 × 1463 ) / 1

LCM(926,1463) = 1354738 / 1

LCM(926,1463) = 1354738

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FAQs on GCF of Fractions of 9323/926, 5249/1463

1. What is the HCF of 9323,5249?

The HCF of 9323,5249 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 9323/926, 5249/1463?

Answer: GCF of Numerators as per given numbers 9323/926, 5249/1463 is

GCF of Numerators i.e. for 9323,5249 is 1

LCM of denominators i.e. for 926,1463 is 1354738.

Thus, GCF of Fractions is 1/1354738.Finally, GCF of Fractions for 9323/926, 5249/1463 is 1/1354738.