How to Find GCF of 6329/493, 9391/4462?

GCF of 6329/493, 9391/4462

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 6329/493, 9391/4462 i.e 1/2199766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6329/493, 9391/4462.

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 6329/493,9391/4462?

Given fractions are 6329/493,9391/4462

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 6329/493,9391/4462, numerators are 6329,9391

Denominators are 493,4462

The GCF of 6329,9391 is 1 .

LCM of 493,4462 is 2199766.

The greatest common factor of 6329/493,9391/4462 = [GCF of 6329,9391]/[LCM of 493,4462]= 1/2199766

Therefore, the GCF of 6329/493,9391/4462 is 1/2199766.

Greatest Common Factor of 6329,9391

To find the highest common factor of 6329,9391, we have to find the factors of both numbers and list the highest common factor.

The factors of 6329 are 1, 6329

The factors of 9391 are 1, 9391

The HCF of 6329,9391 is 1.

Lets's calculate GCF of 6329,9391

Greatest Common Factor (GCF) of 6329,9391 By Common Division

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

Greatest Common Factor of 6329,9391 By Matching Biggest Common Factor Method

Now, list down the factors of 6329

1,6329

Now, list down the factors of 9391

1,9391

Greatest Common Factor

We found the factors 6329,9391 . The biggest common factor number is the GCF number.
So the greatest common factor 6329,9391 is 1.

Lets's calculate LCM of 493,4462

Lowest Common Multiple of 493,4462 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2199766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2199766

Therefore, the GCF of Fractions 6329/493,9391/4462 is 1/2199766

Least Common Multiple of 493,4462 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 493,4462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,4462) = 1

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

GCF(493,4462) x common factors =1 x 1 = 1

LCM(493,4462) = ( 493 × 4462 ) / 1

LCM(493,4462) = 2199766 / 1

LCM(493,4462) = 2199766

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6329/493, 9391/4462

1. What is the HCF of 6329,9391?

The HCF of 6329,9391 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 6329/493, 9391/4462?

Answer: GCF of Numerators as per given numbers 6329/493, 9391/4462 is

GCF of Numerators i.e. for 6329,9391 is 1

LCM of denominators i.e. for 493,4462 is 2199766.

Thus, GCF of Fractions is 1/2199766.Finally, GCF of Fractions for 6329/493, 9391/4462 is 1/2199766.