How to Find GCF of 9139/483, 6373/9743?

GCF of 9139/483, 6373/9743

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 9139/483, 6373/9743 i.e 1/4705869 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9139/483, 6373/9743.

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 9139/483,6373/9743?

Given fractions are 9139/483,6373/9743

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 9139/483,6373/9743, numerators are 9139,6373

Denominators are 483,9743

The GCF of 9139,6373 is 1 .

LCM of 483,9743 is 4705869.

The greatest common factor of 9139/483,6373/9743 = [GCF of 9139,6373]/[LCM of 483,9743]= 1/4705869

Therefore, the GCF of 9139/483,6373/9743 is 1/4705869.

Greatest Common Factor of 9139,6373

To find the highest common factor of 9139,6373, we have to find the factors of both numbers and list the highest common factor.

The factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139

The factors of 6373 are 1, 6373

The HCF of 9139,6373 is 1.

Lets's calculate GCF of 9139,6373

Greatest Common Factor (GCF) of 9139,6373 By Common Division

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

Greatest Common Factor of 9139,6373 By Matching Biggest Common Factor Method

Now, list down the factors of 9139

1,13,19,37,247,481,703,9139

Now, list down the factors of 6373

1,6373

Greatest Common Factor

We found the factors 9139,6373 . The biggest common factor number is the GCF number.
So the greatest common factor 9139,6373 is 1.

Lets's calculate LCM of 483,9743

Lowest Common Multiple of 483,9743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4705869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4705869

Therefore, the GCF of Fractions 9139/483,6373/9743 is 1/4705869

Least Common Multiple of 483,9743 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 483,9743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,9743) = 1

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

GCF(483,9743) x common factors =1 x 1 = 1

LCM(483,9743) = ( 483 × 9743 ) / 1

LCM(483,9743) = 4705869 / 1

LCM(483,9743) = 4705869

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FAQs on GCF of Fractions of 9139/483, 6373/9743

1. What is the HCF of 9139,6373?

The HCF of 9139,6373 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 9139/483, 6373/9743?

Answer: GCF of Numerators as per given numbers 9139/483, 6373/9743 is

GCF of Numerators i.e. for 9139,6373 is 1

LCM of denominators i.e. for 483,9743 is 4705869.

Thus, GCF of Fractions is 1/4705869.Finally, GCF of Fractions for 9139/483, 6373/9743 is 1/4705869.