How to Find GCF of 573/616, 408/856?

GCF of 573/616, 408/856

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 573/616, 408/856 i.e 3/65912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 573/616, 408/856.

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 573/616,408/856?

Given fractions are 573/616,408/856

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 573/616,408/856, numerators are 573,408

Denominators are 616,856

The GCF of 573,408 is 3 .

LCM of 616,856 is 65912.

The greatest common factor of 573/616,408/856 = [GCF of 573,408]/[LCM of 616,856]= 3/65912

Therefore, the GCF of 573/616,408/856 is 3/65912.

Greatest Common Factor of 573,408

To find the highest common factor of 573,408, we have to find the factors of both numbers and list the highest common factor.

The factors of 573 are 1, 3, 191, 573

The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

The HCF of 573,408 is 3.

Lets's calculate GCF of 573,408

Greatest Common Factor (GCF) of 573,408 By Common Division

3	573, 408
	191, 136

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 573,408 By Matching Biggest Common Factor Method

Now, list down the factors of 573

1,3,191,573

Now, list down the factors of 408

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 573,408 . The biggest common factor number is the GCF number.
So the greatest common factor 573,408 is 3.

Lets's calculate LCM of 616,856

Lowest Common Multiple of 616,856 using Common Division

2	616, 856
2	308, 428
2	154, 214
	77, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 107 = 65912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/65912

Therefore, the GCF of Fractions 573/616,408/856 is 3/65912

Least Common Multiple of 616,856 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 616,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,856) = 8

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

GCF(616,856) x common factors =8 x 1 = 8

LCM(616,856) = ( 616 × 856 ) / 8

LCM(616,856) = 527296 / 8

LCM(616,856) = 65912

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FAQs on GCF of Fractions of 573/616, 408/856

1. What is the HCF of 573,408?

The HCF of 573,408 is 3

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 573/616, 408/856?

Answer: GCF of Numerators as per given numbers 573/616, 408/856 is

GCF of Numerators i.e. for 573,408 is 3

LCM of denominators i.e. for 616,856 is 65912.

Thus, GCF of Fractions is 3/65912.Finally, GCF of Fractions for 573/616, 408/856 is 3/65912.