How to Find GCF of 815/435, 1249/1183?

GCF of 815/435, 1249/1183

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 815/435, 1249/1183 i.e 1/514605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/435, 1249/1183.

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 815/435,1249/1183?

Given fractions are 815/435,1249/1183

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 815/435,1249/1183, numerators are 815,1249

Denominators are 435,1183

The GCF of 815,1249 is 1 .

LCM of 435,1183 is 514605.

The greatest common factor of 815/435,1249/1183 = [GCF of 815,1249]/[LCM of 435,1183]= 1/514605

Therefore, the GCF of 815/435,1249/1183 is 1/514605.

Greatest Common Factor of 815,1249

To find the highest common factor of 815,1249, we have to find the factors of both numbers and list the highest common factor.

The factors of 815 are 1, 5, 163, 815

The factors of 1249 are 1, 1249

The HCF of 815,1249 is 1.

Lets's calculate GCF of 815,1249

Greatest Common Factor (GCF) of 815,1249 By Common Division

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

Greatest Common Factor of 815,1249 By Matching Biggest Common Factor Method

Now, list down the factors of 815

1,5,163,815

Now, list down the factors of 1249

1,1249

Greatest Common Factor

We found the factors 815,1249 . The biggest common factor number is the GCF number.
So the greatest common factor 815,1249 is 1.

Lets's calculate LCM of 435,1183

Lowest Common Multiple of 435,1183 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 514605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/514605

Therefore, the GCF of Fractions 815/435,1249/1183 is 1/514605

Least Common Multiple of 435,1183 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 435,1183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,1183) = 1

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

GCF(435,1183) x common factors =1 x 1 = 1

LCM(435,1183) = ( 435 × 1183 ) / 1

LCM(435,1183) = 514605 / 1

LCM(435,1183) = 514605

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FAQs on GCF of Fractions of 815/435, 1249/1183

1. What is the HCF of 815,1249?

The HCF of 815,1249 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 815/435, 1249/1183?

Answer: GCF of Numerators as per given numbers 815/435, 1249/1183 is

GCF of Numerators i.e. for 815,1249 is 1

LCM of denominators i.e. for 435,1183 is 514605.

Thus, GCF of Fractions is 1/514605.Finally, GCF of Fractions for 815/435, 1249/1183 is 1/514605.