How to Find GCF of 966/61, 575/1433?

GCF of 966/61, 575/1433

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 966/61, 575/1433 i.e 23/87413 easily. The following is the detailed procedure to determine the greatest common factor of fractions 966/61, 575/1433.

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 966/61,575/1433?

Given fractions are 966/61,575/1433

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 966/61,575/1433, numerators are 966,575

Denominators are 61,1433

The GCF of 966,575 is 23 .

LCM of 61,1433 is 87413.

The greatest common factor of 966/61,575/1433 = [GCF of 966,575]/[LCM of 61,1433]= 23/87413

Therefore, the GCF of 966/61,575/1433 is 23/87413.

Greatest Common Factor of 966,575

To find the highest common factor of 966,575, we have to find the factors of both numbers and list the highest common factor.

The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

The factors of 575 are 1, 5, 23, 25, 115, 575

The HCF of 966,575 is 23.

Lets's calculate GCF of 966,575

Greatest Common Factor (GCF) of 966,575 By Common Division

23	966, 575
	42, 25

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 966,575 By Matching Biggest Common Factor Method

Now, list down the factors of 966

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Now, list down the factors of 575

1,5,23,25,115,575

Greatest Common Factor

We found the factors 966,575 . The biggest common factor number is the GCF number.
So the greatest common factor 966,575 is 23.

Lets's calculate LCM of 61,1433

Lowest Common Multiple of 61,1433 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 87413

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/87413

Therefore, the GCF of Fractions 966/61,575/1433 is 23/87413

Least Common Multiple of 61,1433 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 61,1433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,1433) = 1

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

GCF(61,1433) x common factors =1 x 1 = 1

LCM(61,1433) = ( 61 × 1433 ) / 1

LCM(61,1433) = 87413 / 1

LCM(61,1433) = 87413

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FAQs on GCF of Fractions of 966/61, 575/1433

1. What is the HCF of 966,575?

The HCF of 966,575 is 23

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 966/61, 575/1433?

Answer: GCF of Numerators as per given numbers 966/61, 575/1433 is

GCF of Numerators i.e. for 966,575 is 23

LCM of denominators i.e. for 61,1433 is 87413.

Thus, GCF of Fractions is 23/87413.Finally, GCF of Fractions for 966/61, 575/1433 is 23/87413.