How to Find GCF of 5297/260, 8226/2864?

GCF of 5297/260, 8226/2864

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 5297/260, 8226/2864 i.e 1/186160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5297/260, 8226/2864.

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 5297/260,8226/2864?

Given fractions are 5297/260,8226/2864

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 5297/260,8226/2864, numerators are 5297,8226

Denominators are 260,2864

The GCF of 5297,8226 is 1 .

LCM of 260,2864 is 186160.

The greatest common factor of 5297/260,8226/2864 = [GCF of 5297,8226]/[LCM of 260,2864]= 1/186160

Therefore, the GCF of 5297/260,8226/2864 is 1/186160.

Greatest Common Factor of 5297,8226

To find the highest common factor of 5297,8226, we have to find the factors of both numbers and list the highest common factor.

The factors of 5297 are 1, 5297

The factors of 8226 are 1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113, 8226

The HCF of 5297,8226 is 1.

Lets's calculate GCF of 5297,8226

Greatest Common Factor (GCF) of 5297,8226 By Common Division

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

Greatest Common Factor of 5297,8226 By Matching Biggest Common Factor Method

Now, list down the factors of 5297

1,5297

Now, list down the factors of 8226

1,2,3,6,9,18,457,914,1371,2742,4113,8226

Greatest Common Factor

We found the factors 5297,8226 . The biggest common factor number is the GCF number.
So the greatest common factor 5297,8226 is 1.

Lets's calculate LCM of 260,2864

Lowest Common Multiple of 260,2864 using Common Division

2	260, 2864
2	130, 1432
	65, 716

∴ So the LCM of the given numbers is 2 x 2 x 65 x 716 = 186160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186160

Therefore, the GCF of Fractions 5297/260,8226/2864 is 1/186160

Least Common Multiple of 260,2864 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 260,2864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,2864) = 4

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

GCF(260,2864) x common factors =4 x 1 = 4

LCM(260,2864) = ( 260 × 2864 ) / 4

LCM(260,2864) = 744640 / 4

LCM(260,2864) = 186160

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5297/260, 8226/2864

1. What is the HCF of 5297,8226?

The HCF of 5297,8226 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 5297/260, 8226/2864?

Answer: GCF of Numerators as per given numbers 5297/260, 8226/2864 is

GCF of Numerators i.e. for 5297,8226 is 1

LCM of denominators i.e. for 260,2864 is 186160.

Thus, GCF of Fractions is 1/186160.Finally, GCF of Fractions for 5297/260, 8226/2864 is 1/186160.