How to Find GCF of 5396/521, 8230/9129?

GCF of 5396/521, 8230/9129

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 5396/521, 8230/9129 i.e 2/4756209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5396/521, 8230/9129.

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 5396/521,8230/9129?

Given fractions are 5396/521,8230/9129

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 5396/521,8230/9129, numerators are 5396,8230

Denominators are 521,9129

The GCF of 5396,8230 is 2 .

LCM of 521,9129 is 4756209.

The greatest common factor of 5396/521,8230/9129 = [GCF of 5396,8230]/[LCM of 521,9129]= 2/4756209

Therefore, the GCF of 5396/521,8230/9129 is 2/4756209.

Greatest Common Factor of 5396,8230

To find the highest common factor of 5396,8230, we have to find the factors of both numbers and list the highest common factor.

The factors of 5396 are 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396

The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230

The HCF of 5396,8230 is 2.

Lets's calculate GCF of 5396,8230

Greatest Common Factor (GCF) of 5396,8230 By Common Division

2	5396, 8230
	2698, 4115

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

Greatest Common Factor of 5396,8230 By Matching Biggest Common Factor Method

Now, list down the factors of 5396

1,2,4,19,38,71,76,142,284,1349,2698,5396

Now, list down the factors of 8230

1,2,5,10,823,1646,4115,8230

Greatest Common Factor

We found the factors 5396,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 5396,8230 is 2.

Lets's calculate LCM of 521,9129

Lowest Common Multiple of 521,9129 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4756209

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4756209

Therefore, the GCF of Fractions 5396/521,8230/9129 is 2/4756209

Least Common Multiple of 521,9129 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 521,9129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,9129) = 1

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

GCF(521,9129) x common factors =1 x 1 = 1

LCM(521,9129) = ( 521 × 9129 ) / 1

LCM(521,9129) = 4756209 / 1

LCM(521,9129) = 4756209

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FAQs on GCF of Fractions of 5396/521, 8230/9129

1. What is the HCF of 5396,8230?

The HCF of 5396,8230 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 5396/521, 8230/9129?

Answer: GCF of Numerators as per given numbers 5396/521, 8230/9129 is

GCF of Numerators i.e. for 5396,8230 is 2

LCM of denominators i.e. for 521,9129 is 4756209.

Thus, GCF of Fractions is 2/4756209.Finally, GCF of Fractions for 5396/521, 8230/9129 is 2/4756209.