How to Find GCF of 2255/352, 5071/2128?

GCF of 2255/352, 5071/2128

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 2255/352, 5071/2128 i.e 11/46816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2255/352, 5071/2128.

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 2255/352,5071/2128?

Given fractions are 2255/352,5071/2128

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 2255/352,5071/2128, numerators are 2255,5071

Denominators are 352,2128

The GCF of 2255,5071 is 11 .

LCM of 352,2128 is 46816.

The greatest common factor of 2255/352,5071/2128 = [GCF of 2255,5071]/[LCM of 352,2128]= 11/46816

Therefore, the GCF of 2255/352,5071/2128 is 11/46816.

Greatest Common Factor of 2255,5071

To find the highest common factor of 2255,5071, we have to find the factors of both numbers and list the highest common factor.

The factors of 2255 are 1, 5, 11, 41, 55, 205, 451, 2255

The factors of 5071 are 1, 11, 461, 5071

The HCF of 2255,5071 is 11.

Lets's calculate GCF of 2255,5071

Greatest Common Factor (GCF) of 2255,5071 By Common Division

11	2255, 5071
	205, 461

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 2255,5071 By Matching Biggest Common Factor Method

Now, list down the factors of 2255

1,5,11,41,55,205,451,2255

Now, list down the factors of 5071

1,11,461,5071

Greatest Common Factor

We found the factors 2255,5071 . The biggest common factor number is the GCF number.
So the greatest common factor 2255,5071 is 11.

Lets's calculate LCM of 352,2128

Lowest Common Multiple of 352,2128 using Common Division

2	352, 2128
2	176, 1064
2	88, 532
2	44, 266
	22, 133

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 22 x 133 = 46816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/46816

Therefore, the GCF of Fractions 2255/352,5071/2128 is 11/46816

Least Common Multiple of 352,2128 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 352,2128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,2128) = 16

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

GCF(352,2128) x common factors =16 x 1 = 16

LCM(352,2128) = ( 352 × 2128 ) / 16

LCM(352,2128) = 749056 / 16

LCM(352,2128) = 46816

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2255/352, 5071/2128

1. What is the HCF of 2255,5071?

The HCF of 2255,5071 is 11

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 2255/352, 5071/2128?

Answer: GCF of Numerators as per given numbers 2255/352, 5071/2128 is

GCF of Numerators i.e. for 2255,5071 is 11

LCM of denominators i.e. for 352,2128 is 46816.

Thus, GCF of Fractions is 11/46816.Finally, GCF of Fractions for 2255/352, 5071/2128 is 11/46816.