How to Find GCF of 8311/533, 5300/7828?

GCF of 8311/533, 5300/7828

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 8311/533, 5300/7828 i.e 1/4172324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8311/533, 5300/7828.

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 8311/533,5300/7828?

Given fractions are 8311/533,5300/7828

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 8311/533,5300/7828, numerators are 8311,5300

Denominators are 533,7828

The GCF of 8311,5300 is 1 .

LCM of 533,7828 is 4172324.

The greatest common factor of 8311/533,5300/7828 = [GCF of 8311,5300]/[LCM of 533,7828]= 1/4172324

Therefore, the GCF of 8311/533,5300/7828 is 1/4172324.

Greatest Common Factor of 8311,5300

To find the highest common factor of 8311,5300, we have to find the factors of both numbers and list the highest common factor.

The factors of 8311 are 1, 8311

The factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300

The HCF of 8311,5300 is 1.

Lets's calculate GCF of 8311,5300

Greatest Common Factor (GCF) of 8311,5300 By Common Division

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

Greatest Common Factor of 8311,5300 By Matching Biggest Common Factor Method

Now, list down the factors of 8311

1,8311

Now, list down the factors of 5300

1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300

Greatest Common Factor

We found the factors 8311,5300 . The biggest common factor number is the GCF number.
So the greatest common factor 8311,5300 is 1.

Lets's calculate LCM of 533,7828

Lowest Common Multiple of 533,7828 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4172324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4172324

Therefore, the GCF of Fractions 8311/533,5300/7828 is 1/4172324

Least Common Multiple of 533,7828 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 533,7828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,7828) = 1

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

GCF(533,7828) x common factors =1 x 1 = 1

LCM(533,7828) = ( 533 × 7828 ) / 1

LCM(533,7828) = 4172324 / 1

LCM(533,7828) = 4172324

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8311/533, 5300/7828

1. What is the HCF of 8311,5300?

The HCF of 8311,5300 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 8311/533, 5300/7828?

Answer: GCF of Numerators as per given numbers 8311/533, 5300/7828 is

GCF of Numerators i.e. for 8311,5300 is 1

LCM of denominators i.e. for 533,7828 is 4172324.

Thus, GCF of Fractions is 1/4172324.Finally, GCF of Fractions for 8311/533, 5300/7828 is 1/4172324.