How to Find GCF of 1193/411, 5203/439?

GCF of 1193/411, 5203/439

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 1193/411, 5203/439 i.e 1/180429 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1193/411, 5203/439.

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 1193/411,5203/439?

Given fractions are 1193/411,5203/439

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 1193/411,5203/439, numerators are 1193,5203

Denominators are 411,439

The GCF of 1193,5203 is 1 .

LCM of 411,439 is 180429.

The greatest common factor of 1193/411,5203/439 = [GCF of 1193,5203]/[LCM of 411,439]= 1/180429

Therefore, the GCF of 1193/411,5203/439 is 1/180429.

Greatest Common Factor of 1193,5203

To find the highest common factor of 1193,5203, we have to find the factors of both numbers and list the highest common factor.

The factors of 1193 are 1, 1193

The factors of 5203 are 1, 11, 43, 121, 473, 5203

The HCF of 1193,5203 is 1.

Lets's calculate GCF of 1193,5203

Greatest Common Factor (GCF) of 1193,5203 By Common Division

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

Greatest Common Factor of 1193,5203 By Matching Biggest Common Factor Method

Now, list down the factors of 1193

1,1193

Now, list down the factors of 5203

1,11,43,121,473,5203

Greatest Common Factor

We found the factors 1193,5203 . The biggest common factor number is the GCF number.
So the greatest common factor 1193,5203 is 1.

Lets's calculate LCM of 411,439

Lowest Common Multiple of 411,439 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 180429

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180429

Therefore, the GCF of Fractions 1193/411,5203/439 is 1/180429

Least Common Multiple of 411,439 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 411,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,439) = 1

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

GCF(411,439) x common factors =1 x 1 = 1

LCM(411,439) = ( 411 × 439 ) / 1

LCM(411,439) = 180429 / 1

LCM(411,439) = 180429

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FAQs on GCF of Fractions of 1193/411, 5203/439

1. What is the HCF of 1193,5203?

The HCF of 1193,5203 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 1193/411, 5203/439?

Answer: GCF of Numerators as per given numbers 1193/411, 5203/439 is

GCF of Numerators i.e. for 1193,5203 is 1

LCM of denominators i.e. for 411,439 is 180429.

Thus, GCF of Fractions is 1/180429.Finally, GCF of Fractions for 1193/411, 5203/439 is 1/180429.