How to Find GCF of 1269/601, 8063/7393?

GCF of 1269/601, 8063/7393

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 1269/601, 8063/7393 i.e 1/4443193 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1269/601, 8063/7393.

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 1269/601,8063/7393?

Given fractions are 1269/601,8063/7393

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 1269/601,8063/7393, numerators are 1269,8063

Denominators are 601,7393

The GCF of 1269,8063 is 1 .

LCM of 601,7393 is 4443193.

The greatest common factor of 1269/601,8063/7393 = [GCF of 1269,8063]/[LCM of 601,7393]= 1/4443193

Therefore, the GCF of 1269/601,8063/7393 is 1/4443193.

Greatest Common Factor of 1269,8063

To find the highest common factor of 1269,8063, we have to find the factors of both numbers and list the highest common factor.

The factors of 1269 are 1, 3, 9, 27, 47, 141, 423, 1269

The factors of 8063 are 1, 11, 733, 8063

The HCF of 1269,8063 is 1.

Lets's calculate GCF of 1269,8063

Greatest Common Factor (GCF) of 1269,8063 By Common Division

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

Greatest Common Factor of 1269,8063 By Matching Biggest Common Factor Method

Now, list down the factors of 1269

1,3,9,27,47,141,423,1269

Now, list down the factors of 8063

1,11,733,8063

Greatest Common Factor

We found the factors 1269,8063 . The biggest common factor number is the GCF number.
So the greatest common factor 1269,8063 is 1.

Lets's calculate LCM of 601,7393

Lowest Common Multiple of 601,7393 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4443193

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4443193

Therefore, the GCF of Fractions 1269/601,8063/7393 is 1/4443193

Least Common Multiple of 601,7393 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 601,7393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,7393) = 1

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

GCF(601,7393) x common factors =1 x 1 = 1

LCM(601,7393) = ( 601 × 7393 ) / 1

LCM(601,7393) = 4443193 / 1

LCM(601,7393) = 4443193

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FAQs on GCF of Fractions of 1269/601, 8063/7393

1. What is the HCF of 1269,8063?

The HCF of 1269,8063 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 1269/601, 8063/7393?

Answer: GCF of Numerators as per given numbers 1269/601, 8063/7393 is

GCF of Numerators i.e. for 1269,8063 is 1

LCM of denominators i.e. for 601,7393 is 4443193.

Thus, GCF of Fractions is 1/4443193.Finally, GCF of Fractions for 1269/601, 8063/7393 is 1/4443193.