How to Find GCF of 7544/549, 8543/5755?

GCF of 7544/549, 8543/5755

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 7544/549, 8543/5755 i.e 1/3159495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7544/549, 8543/5755.

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 7544/549,8543/5755?

Given fractions are 7544/549,8543/5755

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 7544/549,8543/5755, numerators are 7544,8543

Denominators are 549,5755

The GCF of 7544,8543 is 1 .

LCM of 549,5755 is 3159495.

The greatest common factor of 7544/549,8543/5755 = [GCF of 7544,8543]/[LCM of 549,5755]= 1/3159495

Therefore, the GCF of 7544/549,8543/5755 is 1/3159495.

Greatest Common Factor of 7544,8543

To find the highest common factor of 7544,8543, we have to find the factors of both numbers and list the highest common factor.

The factors of 7544 are 1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772, 7544

The factors of 8543 are 1, 8543

The HCF of 7544,8543 is 1.

Lets's calculate GCF of 7544,8543

Greatest Common Factor (GCF) of 7544,8543 By Common Division

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

Greatest Common Factor of 7544,8543 By Matching Biggest Common Factor Method

Now, list down the factors of 7544

1,2,4,8,23,41,46,82,92,164,184,328,943,1886,3772,7544

Now, list down the factors of 8543

1,8543

Greatest Common Factor

We found the factors 7544,8543 . The biggest common factor number is the GCF number.
So the greatest common factor 7544,8543 is 1.

Lets's calculate LCM of 549,5755

Lowest Common Multiple of 549,5755 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3159495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3159495

Therefore, the GCF of Fractions 7544/549,8543/5755 is 1/3159495

Least Common Multiple of 549,5755 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 549,5755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,5755) = 1

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

GCF(549,5755) x common factors =1 x 1 = 1

LCM(549,5755) = ( 549 × 5755 ) / 1

LCM(549,5755) = 3159495 / 1

LCM(549,5755) = 3159495

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FAQs on GCF of Fractions of 7544/549, 8543/5755

1. What is the HCF of 7544,8543?

The HCF of 7544,8543 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 7544/549, 8543/5755?

Answer: GCF of Numerators as per given numbers 7544/549, 8543/5755 is

GCF of Numerators i.e. for 7544,8543 is 1

LCM of denominators i.e. for 549,5755 is 3159495.

Thus, GCF of Fractions is 1/3159495.Finally, GCF of Fractions for 7544/549, 8543/5755 is 1/3159495.