How to Find GCF of 27/550, 70/779, 653/886?

GCF of 27/550, 70/779, 653/886

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 27/550, 70/779, 653/886 i.e 1/189803350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/550, 70/779, 653/886.

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 27/550,70/779,653/886?

Given fractions are 27/550,70/779,653/886

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 27/550,70/779,653/886, numerators are 27,70,653

Denominators are 550,779,886

The GCF of 27,70,653 is 1 .

LCM of 550,779,886 is 189803350.

The greatest common factor of 27/550,70/779,653/886 = [GCF of 27,70,653]/[LCM of 550,779,886]= 1/189803350

Therefore, the GCF of 27/550,70/779,653/886 is 1/189803350.

Greatest Common Factor of 27,70,653

To find the highest common factor of 27,70,653, we have to find the factors of both numbers and list the highest common factor.

The factors of 27 are 1, 3, 9, 27

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70

The factors of 653 are 1, 653

The HCF of 27,70,653 is 1.

Lets's calculate GCF of 27,70,653

Greatest Common Factor (GCF) of 27,70,653 By Common Division

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

Greatest Common Factor of 27,70,653 By Matching Biggest Common Factor Method

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 70

1,2,5,7,10,14,35,70

Now, list down the factors of 653

1,653

Greatest Common Factor

We found the factors 27,70,653 . The biggest common factor number is the GCF number.
So the greatest common factor 27,70,653 is 1.

Lets's calculate LCM of 550,779,886

Lowest Common Multiple of 550,779,886 using Common Division

2	550, 779, 886
	275, 779, 443

∴ So the LCM of the given numbers is 2 x 275 x 779 x 443 = 189803350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189803350

Therefore, the GCF of Fractions 27/550,70/779,653/886 is 1/189803350

Least Common Multiple of 550,779,886 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 550,779,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,779,886) = 1

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

GCF(550,779,886) x common factors =1 x 2 = 2

LCM(550,779,886) = ( 550 × 779 × 886 ) / 2

LCM(550,779,886) = 379606700 / 2

LCM(550,779,886) = 189803350

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 27/550, 70/779, 653/886

1. What is the HCF of 27,70,653?

The HCF of 27,70,653 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 27/550, 70/779, 653/886?

Answer: GCF of Numerators as per given numbers 27/550, 70/779, 653/886 is

GCF of Numerators i.e. for 27,70,653 is 1

LCM of denominators i.e. for 550,779,886 is 189803350.

Thus, GCF of Fractions is 1/189803350.Finally, GCF of Fractions for 27/550, 70/779, 653/886 is 1/189803350.