How to Find GCF of 7408/523, 6659/743?

GCF of 7408/523, 6659/743

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 7408/523, 6659/743 i.e 1/388589 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7408/523, 6659/743.

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 7408/523,6659/743?

Given fractions are 7408/523,6659/743

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 7408/523,6659/743, numerators are 7408,6659

Denominators are 523,743

The GCF of 7408,6659 is 1 .

LCM of 523,743 is 388589.

The greatest common factor of 7408/523,6659/743 = [GCF of 7408,6659]/[LCM of 523,743]= 1/388589

Therefore, the GCF of 7408/523,6659/743 is 1/388589.

Greatest Common Factor of 7408,6659

To find the highest common factor of 7408,6659, we have to find the factors of both numbers and list the highest common factor.

The factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408

The factors of 6659 are 1, 6659

The HCF of 7408,6659 is 1.

Lets's calculate GCF of 7408,6659

Greatest Common Factor (GCF) of 7408,6659 By Common Division

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

Greatest Common Factor of 7408,6659 By Matching Biggest Common Factor Method

Now, list down the factors of 7408

1,2,4,8,16,463,926,1852,3704,7408

Now, list down the factors of 6659

1,6659

Greatest Common Factor

We found the factors 7408,6659 . The biggest common factor number is the GCF number.
So the greatest common factor 7408,6659 is 1.

Lets's calculate LCM of 523,743

Lowest Common Multiple of 523,743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 388589

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388589

Therefore, the GCF of Fractions 7408/523,6659/743 is 1/388589

Least Common Multiple of 523,743 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 523,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,743) = 1

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

GCF(523,743) x common factors =1 x 1 = 1

LCM(523,743) = ( 523 × 743 ) / 1

LCM(523,743) = 388589 / 1

LCM(523,743) = 388589

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FAQs on GCF of Fractions of 7408/523, 6659/743

1. What is the HCF of 7408,6659?

The HCF of 7408,6659 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 7408/523, 6659/743?

Answer: GCF of Numerators as per given numbers 7408/523, 6659/743 is

GCF of Numerators i.e. for 7408,6659 is 1

LCM of denominators i.e. for 523,743 is 388589.

Thus, GCF of Fractions is 1/388589.Finally, GCF of Fractions for 7408/523, 6659/743 is 1/388589.