How to Find GCF of 7083/913, 4504/8189?

GCF of 7083/913, 4504/8189

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 7083/913, 4504/8189 i.e 1/7476557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7083/913, 4504/8189.

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 7083/913,4504/8189?

Given fractions are 7083/913,4504/8189

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 7083/913,4504/8189, numerators are 7083,4504

Denominators are 913,8189

The GCF of 7083,4504 is 1 .

LCM of 913,8189 is 7476557.

The greatest common factor of 7083/913,4504/8189 = [GCF of 7083,4504]/[LCM of 913,8189]= 1/7476557

Therefore, the GCF of 7083/913,4504/8189 is 1/7476557.

Greatest Common Factor of 7083,4504

To find the highest common factor of 7083,4504, we have to find the factors of both numbers and list the highest common factor.

The factors of 7083 are 1, 3, 9, 787, 2361, 7083

The factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504

The HCF of 7083,4504 is 1.

Lets's calculate GCF of 7083,4504

Greatest Common Factor (GCF) of 7083,4504 By Common Division

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

Greatest Common Factor of 7083,4504 By Matching Biggest Common Factor Method

Now, list down the factors of 7083

1,3,9,787,2361,7083

Now, list down the factors of 4504

1,2,4,8,563,1126,2252,4504

Greatest Common Factor

We found the factors 7083,4504 . The biggest common factor number is the GCF number.
So the greatest common factor 7083,4504 is 1.

Lets's calculate LCM of 913,8189

Lowest Common Multiple of 913,8189 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7476557

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7476557

Therefore, the GCF of Fractions 7083/913,4504/8189 is 1/7476557

Least Common Multiple of 913,8189 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 913,8189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,8189) = 1

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

GCF(913,8189) x common factors =1 x 1 = 1

LCM(913,8189) = ( 913 × 8189 ) / 1

LCM(913,8189) = 7476557 / 1

LCM(913,8189) = 7476557

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7083/913, 4504/8189

1. What is the HCF of 7083,4504?

The HCF of 7083,4504 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 7083/913, 4504/8189?

Answer: GCF of Numerators as per given numbers 7083/913, 4504/8189 is

GCF of Numerators i.e. for 7083,4504 is 1

LCM of denominators i.e. for 913,8189 is 7476557.

Thus, GCF of Fractions is 1/7476557.Finally, GCF of Fractions for 7083/913, 4504/8189 is 1/7476557.