How to Find GCF of 57/595, 89/122, 774/642?

GCF of 57/595, 89/122, 774/642

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 57/595, 89/122, 774/642 i.e 1/23301390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/595, 89/122, 774/642.

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 57/595,89/122,774/642?

Given fractions are 57/595,89/122,774/642

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 57/595,89/122,774/642, numerators are 57,89,774

Denominators are 595,122,642

The GCF of 57,89,774 is 1 .

LCM of 595,122,642 is 23301390.

The greatest common factor of 57/595,89/122,774/642 = [GCF of 57,89,774]/[LCM of 595,122,642]= 1/23301390

Therefore, the GCF of 57/595,89/122,774/642 is 1/23301390.

Greatest Common Factor of 57,89,774

To find the highest common factor of 57,89,774, we have to find the factors of both numbers and list the highest common factor.

The factors of 57 are 1, 3, 19, 57

The factors of 89 are 1, 89

The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

The HCF of 57,89,774 is 1.

Lets's calculate GCF of 57,89,774

Greatest Common Factor (GCF) of 57,89,774 By Common Division

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

Greatest Common Factor of 57,89,774 By Matching Biggest Common Factor Method

Now, list down the factors of 57

1,3,19,57

Now, list down the factors of 89

1,89

Now, list down the factors of 774

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 57,89,774 . The biggest common factor number is the GCF number.
So the greatest common factor 57,89,774 is 1.

Lets's calculate LCM of 595,122,642

Lowest Common Multiple of 595,122,642 using Common Division

2	595, 122, 642
	595, 61, 321

∴ So the LCM of the given numbers is 2 x 595 x 61 x 321 = 23301390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23301390

Therefore, the GCF of Fractions 57/595,89/122,774/642 is 1/23301390

Least Common Multiple of 595,122,642 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 595,122,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,122,642) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(595,122,642) x common factors =1 x 2 = 2

LCM(595,122,642) = ( 595 × 122 × 642 ) / 2

LCM(595,122,642) = 46602780 / 2

LCM(595,122,642) = 23301390

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 57/595, 89/122, 774/642

1. What is the HCF of 57,89,774?

The HCF of 57,89,774 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 57/595, 89/122, 774/642?

Answer: GCF of Numerators as per given numbers 57/595, 89/122, 774/642 is

GCF of Numerators i.e. for 57,89,774 is 1

LCM of denominators i.e. for 595,122,642 is 23301390.

Thus, GCF of Fractions is 1/23301390.Finally, GCF of Fractions for 57/595, 89/122, 774/642 is 1/23301390.