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GCF of 5573/588, 7477/168

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 5573/588, 7477/168 i.e 1/1176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5573/588, 7477/168.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5573/588,7477/168?

Given fractions are 5573/588,7477/168

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 5573/588,7477/168, numerators are 5573,7477

Denominators are 588,168

The GCF of 5573,7477 is 1 .

LCM of 588,168 is 1176.

The greatest common factor of 5573/588,7477/168 = [GCF of 5573,7477]/[LCM of 588,168]= 1/1176

Therefore, the GCF of 5573/588,7477/168 is 1/1176.

Greatest Common Factor of 5573,7477

To find the highest common factor of 5573,7477, we have to find the factors of both numbers and list the highest common factor.

The factors of 5573 are 1, 5573

The factors of 7477 are 1, 7477

The HCF of 5573,7477 is 1.

Lets's calculate GCF of 5573,7477

Greatest Common Factor (GCF) of 5573,7477 By Common Division

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

Greatest Common Factor of 5573,7477 By Matching Biggest Common Factor Method

Greatest Common Factor of 5573,7477 By Matching Biggest Common Factor Method

Now, list down the factors of 5573

:

1,5573

Now, list down the factors of 7477

:

1,7477

Greatest Common Factor

We found the factors 5573,7477 . The biggest common factor number is the GCF number.
So the greatest common factor 5573,7477 is 1.

Lets's calculate LCM of 588,168

Lowest Common Multiple of 588,168 using Common Division

2 588, 168
2 294, 84
3 147, 42
7 49, 14
7, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 7 x 2 = 1176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1176

Therefore, the GCF of Fractions 5573/588,7477/168 is 1/1176

Least Common Multiple of 588,168 with GCF Formula

Least Common Multiple of 588,168 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 588,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,168) = 84

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

GCF(588,168) x common factors =84 x 1 = 84

LCM(588,168) = ( 588 × 168 ) / 84

LCM(588,168) = 98784 / 84

LCM(588,168) = 1176


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FAQs on GCF of Fractions of 5573/588, 7477/168

1. What is the HCF of 5573,7477?

The HCF of 5573,7477 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 5573/588, 7477/168?

Answer: GCF of Numerators as per given numbers 5573/588, 7477/168 is

GCF of Numerators i.e. for 5573,7477 is 1

LCM of denominators i.e. for 588,168 is 1176.

Thus, GCF of Fractions is 1/1176.Finally, GCF of Fractions for 5573/588, 7477/168 is 1/1176.