How to Find GCF of 966/37, 520/623?

GCF of 966/37, 520/623

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 966/37, 520/623 i.e 2/23051 easily. The following is the detailed procedure to determine the greatest common factor of fractions 966/37, 520/623.

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 966/37,520/623?

Given fractions are 966/37,520/623

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 966/37,520/623, numerators are 966,520

Denominators are 37,623

The GCF of 966,520 is 2 .

LCM of 37,623 is 23051.

The greatest common factor of 966/37,520/623 = [GCF of 966,520]/[LCM of 37,623]= 2/23051

Therefore, the GCF of 966/37,520/623 is 2/23051.

Greatest Common Factor of 966,520

To find the highest common factor of 966,520, 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 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

The HCF of 966,520 is 2.

Lets's calculate GCF of 966,520

Greatest Common Factor (GCF) of 966,520 By Common Division

2	966, 520
	483, 260

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 966,520 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 520

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 966,520 . The biggest common factor number is the GCF number.
So the greatest common factor 966,520 is 2.

Lets's calculate LCM of 37,623

Lowest Common Multiple of 37,623 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23051

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23051

Therefore, the GCF of Fractions 966/37,520/623 is 2/23051

Least Common Multiple of 37,623 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 37,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,623) = 1

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

GCF(37,623) x common factors =1 x 1 = 1

LCM(37,623) = ( 37 × 623 ) / 1

LCM(37,623) = 23051 / 1

LCM(37,623) = 23051

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 966/37, 520/623

1. What is the HCF of 966,520?

The HCF of 966,520 is 2

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 966/37, 520/623?

Answer: GCF of Numerators as per given numbers 966/37, 520/623 is

GCF of Numerators i.e. for 966,520 is 2

LCM of denominators i.e. for 37,623 is 23051.

Thus, GCF of Fractions is 2/23051.Finally, GCF of Fractions for 966/37, 520/623 is 2/23051.