How to Find GCF of 360/829, 469/768?

GCF of 360/829, 469/768

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 360/829, 469/768 i.e 1/636672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 360/829, 469/768.

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 360/829,469/768?

Given fractions are 360/829,469/768

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 360/829,469/768, numerators are 360,469

Denominators are 829,768

The GCF of 360,469 is 1 .

LCM of 829,768 is 636672.

The greatest common factor of 360/829,469/768 = [GCF of 360,469]/[LCM of 829,768]= 1/636672

Therefore, the GCF of 360/829,469/768 is 1/636672.

Greatest Common Factor of 360,469

To find the highest common factor of 360,469, we have to find the factors of both numbers and list the highest common factor.

The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

The factors of 469 are 1, 7, 67, 469

The HCF of 360,469 is 1.

Lets's calculate GCF of 360,469

Greatest Common Factor (GCF) of 360,469 By Common Division

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

Greatest Common Factor of 360,469 By Matching Biggest Common Factor Method

Now, list down the factors of 360

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Now, list down the factors of 469

1,7,67,469

Greatest Common Factor

We found the factors 360,469 . The biggest common factor number is the GCF number.
So the greatest common factor 360,469 is 1.

Lets's calculate LCM of 829,768

Lowest Common Multiple of 829,768 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 636672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/636672

Therefore, the GCF of Fractions 360/829,469/768 is 1/636672

Least Common Multiple of 829,768 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 829,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,768) = 1

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

GCF(829,768) x common factors =1 x 1 = 1

LCM(829,768) = ( 829 × 768 ) / 1

LCM(829,768) = 636672 / 1

LCM(829,768) = 636672

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FAQs on GCF of Fractions of 360/829, 469/768

1. What is the HCF of 360,469?

The HCF of 360,469 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 360/829, 469/768?

Answer: GCF of Numerators as per given numbers 360/829, 469/768 is

GCF of Numerators i.e. for 360,469 is 1

LCM of denominators i.e. for 829,768 is 636672.

Thus, GCF of Fractions is 1/636672.Finally, GCF of Fractions for 360/829, 469/768 is 1/636672.