How to Find GCF of 5333/823, 1340/1598?

GCF of 5333/823, 1340/1598

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 5333/823, 1340/1598 i.e 1/1315154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5333/823, 1340/1598.

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 5333/823,1340/1598?

Given fractions are 5333/823,1340/1598

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 5333/823,1340/1598, numerators are 5333,1340

Denominators are 823,1598

The GCF of 5333,1340 is 1 .

LCM of 823,1598 is 1315154.

The greatest common factor of 5333/823,1340/1598 = [GCF of 5333,1340]/[LCM of 823,1598]= 1/1315154

Therefore, the GCF of 5333/823,1340/1598 is 1/1315154.

Greatest Common Factor of 5333,1340

To find the highest common factor of 5333,1340, we have to find the factors of both numbers and list the highest common factor.

The factors of 5333 are 1, 5333

The factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340

The HCF of 5333,1340 is 1.

Lets's calculate GCF of 5333,1340

Greatest Common Factor (GCF) of 5333,1340 By Common Division

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

Greatest Common Factor of 5333,1340 By Matching Biggest Common Factor Method

Now, list down the factors of 5333

1,5333

Now, list down the factors of 1340

1,2,4,5,10,20,67,134,268,335,670,1340

Greatest Common Factor

We found the factors 5333,1340 . The biggest common factor number is the GCF number.
So the greatest common factor 5333,1340 is 1.

Lets's calculate LCM of 823,1598

Lowest Common Multiple of 823,1598 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1315154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1315154

Therefore, the GCF of Fractions 5333/823,1340/1598 is 1/1315154

Least Common Multiple of 823,1598 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 823,1598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,1598) = 1

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

GCF(823,1598) x common factors =1 x 1 = 1

LCM(823,1598) = ( 823 × 1598 ) / 1

LCM(823,1598) = 1315154 / 1

LCM(823,1598) = 1315154

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5333/823, 1340/1598

1. What is the HCF of 5333,1340?

The HCF of 5333,1340 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 5333/823, 1340/1598?

Answer: GCF of Numerators as per given numbers 5333/823, 1340/1598 is

GCF of Numerators i.e. for 5333,1340 is 1

LCM of denominators i.e. for 823,1598 is 1315154.

Thus, GCF of Fractions is 1/1315154.Finally, GCF of Fractions for 5333/823, 1340/1598 is 1/1315154.