How to Find GCF of 557/188, 2766/5884?

GCF of 557/188, 2766/5884

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 557/188, 2766/5884 i.e 1/276548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 557/188, 2766/5884.

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 557/188,2766/5884?

Given fractions are 557/188,2766/5884

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 557/188,2766/5884, numerators are 557,2766

Denominators are 188,5884

The GCF of 557,2766 is 1 .

LCM of 188,5884 is 276548.

The greatest common factor of 557/188,2766/5884 = [GCF of 557,2766]/[LCM of 188,5884]= 1/276548

Therefore, the GCF of 557/188,2766/5884 is 1/276548.

Greatest Common Factor of 557,2766

To find the highest common factor of 557,2766, we have to find the factors of both numbers and list the highest common factor.

The factors of 557 are 1, 557

The factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766

The HCF of 557,2766 is 1.

Lets's calculate GCF of 557,2766

Greatest Common Factor (GCF) of 557,2766 By Common Division

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

Greatest Common Factor of 557,2766 By Matching Biggest Common Factor Method

Now, list down the factors of 557

1,557

Now, list down the factors of 2766

1,2,3,6,461,922,1383,2766

Greatest Common Factor

We found the factors 557,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 557,2766 is 1.

Lets's calculate LCM of 188,5884

Lowest Common Multiple of 188,5884 using Common Division

2	188, 5884
2	94, 2942
	47, 1471

∴ So the LCM of the given numbers is 2 x 2 x 47 x 1471 = 276548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276548

Therefore, the GCF of Fractions 557/188,2766/5884 is 1/276548

Least Common Multiple of 188,5884 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 188,5884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,5884) = 4

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

GCF(188,5884) x common factors =4 x 1 = 4

LCM(188,5884) = ( 188 × 5884 ) / 4

LCM(188,5884) = 1106192 / 4

LCM(188,5884) = 276548

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FAQs on GCF of Fractions of 557/188, 2766/5884

1. What is the HCF of 557,2766?

The HCF of 557,2766 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 557/188, 2766/5884?

Answer: GCF of Numerators as per given numbers 557/188, 2766/5884 is

GCF of Numerators i.e. for 557,2766 is 1

LCM of denominators i.e. for 188,5884 is 276548.

Thus, GCF of Fractions is 1/276548.Finally, GCF of Fractions for 557/188, 2766/5884 is 1/276548.