How to Find GCF of 440/644, 266/796?

GCF of 440/644, 266/796

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 440/644, 266/796 i.e 2/128156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/644, 266/796.

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 440/644,266/796?

Given fractions are 440/644,266/796

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 440/644,266/796, numerators are 440,266

Denominators are 644,796

The GCF of 440,266 is 2 .

LCM of 644,796 is 128156.

The greatest common factor of 440/644,266/796 = [GCF of 440,266]/[LCM of 644,796]= 2/128156

Therefore, the GCF of 440/644,266/796 is 2/128156.

Greatest Common Factor of 440,266

To find the highest common factor of 440,266, we have to find the factors of both numbers and list the highest common factor.

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

The HCF of 440,266 is 2.

Lets's calculate GCF of 440,266

Greatest Common Factor (GCF) of 440,266 By Common Division

2	440, 266
	220, 133

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

Greatest Common Factor of 440,266 By Matching Biggest Common Factor Method

Now, list down the factors of 440

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Now, list down the factors of 266

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

Greatest Common Factor

We found the factors 440,266 . The biggest common factor number is the GCF number.
So the greatest common factor 440,266 is 2.

Lets's calculate LCM of 644,796

Lowest Common Multiple of 644,796 using Common Division

2	644, 796
2	322, 398
	161, 199

∴ So the LCM of the given numbers is 2 x 2 x 161 x 199 = 128156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/128156

Therefore, the GCF of Fractions 440/644,266/796 is 2/128156

Least Common Multiple of 644,796 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 644,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,796) = 4

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

GCF(644,796) x common factors =4 x 1 = 4

LCM(644,796) = ( 644 × 796 ) / 4

LCM(644,796) = 512624 / 4

LCM(644,796) = 128156

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FAQs on GCF of Fractions of 440/644, 266/796

1. What is the HCF of 440,266?

The HCF of 440,266 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 440/644, 266/796?

Answer: GCF of Numerators as per given numbers 440/644, 266/796 is

GCF of Numerators i.e. for 440,266 is 2

LCM of denominators i.e. for 644,796 is 128156.

Thus, GCF of Fractions is 2/128156.Finally, GCF of Fractions for 440/644, 266/796 is 2/128156.