How to Find GCF of 892/27, 266/7397?

GCF of 892/27, 266/7397

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 892/27, 266/7397 i.e 2/199719 easily. The following is the detailed procedure to determine the greatest common factor of fractions 892/27, 266/7397.

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 892/27,266/7397?

Given fractions are 892/27,266/7397

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 892/27,266/7397, numerators are 892,266

Denominators are 27,7397

The GCF of 892,266 is 2 .

LCM of 27,7397 is 199719.

The greatest common factor of 892/27,266/7397 = [GCF of 892,266]/[LCM of 27,7397]= 2/199719

Therefore, the GCF of 892/27,266/7397 is 2/199719.

Greatest Common Factor of 892,266

To find the highest common factor of 892,266, we have to find the factors of both numbers and list the highest common factor.

The factors of 892 are 1, 2, 4, 223, 446, 892

The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266

The HCF of 892,266 is 2.

Lets's calculate GCF of 892,266

Greatest Common Factor (GCF) of 892,266 By Common Division

2	892, 266
	446, 133

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 892,266 By Matching Biggest Common Factor Method

Now, list down the factors of 892

1,2,4,223,446,892

Now, list down the factors of 266

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 892,266 . The biggest common factor number is the GCF number.
So the greatest common factor 892,266 is 2.

Lets's calculate LCM of 27,7397

Lowest Common Multiple of 27,7397 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 199719

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199719

Therefore, the GCF of Fractions 892/27,266/7397 is 2/199719

Least Common Multiple of 27,7397 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 27,7397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,7397) = 1

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

GCF(27,7397) x common factors =1 x 1 = 1

LCM(27,7397) = ( 27 × 7397 ) / 1

LCM(27,7397) = 199719 / 1

LCM(27,7397) = 199719

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 892/27, 266/7397

1. What is the HCF of 892,266?

The HCF of 892,266 is 2

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 892/27, 266/7397?

Answer: GCF of Numerators as per given numbers 892/27, 266/7397 is

GCF of Numerators i.e. for 892,266 is 2

LCM of denominators i.e. for 27,7397 is 199719.

Thus, GCF of Fractions is 2/199719.Finally, GCF of Fractions for 892/27, 266/7397 is 2/199719.