How to Find GCF of 601/123, 264/978?

GCF of 601/123, 264/978

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 601/123, 264/978 i.e 1/40098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 601/123, 264/978.

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 601/123,264/978?

Given fractions are 601/123,264/978

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 601/123,264/978, numerators are 601,264

Denominators are 123,978

The GCF of 601,264 is 1 .

LCM of 123,978 is 40098.

The greatest common factor of 601/123,264/978 = [GCF of 601,264]/[LCM of 123,978]= 1/40098

Therefore, the GCF of 601/123,264/978 is 1/40098.

Greatest Common Factor of 601,264

To find the highest common factor of 601,264, we have to find the factors of both numbers and list the highest common factor.

The factors of 601 are 1, 601

The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

The HCF of 601,264 is 1.

Lets's calculate GCF of 601,264

Greatest Common Factor (GCF) of 601,264 By Common Division

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

Greatest Common Factor of 601,264 By Matching Biggest Common Factor Method

Now, list down the factors of 601

1,601

Now, list down the factors of 264

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 601,264 . The biggest common factor number is the GCF number.
So the greatest common factor 601,264 is 1.

Lets's calculate LCM of 123,978

Lowest Common Multiple of 123,978 using Common Division

3	123, 978
	41, 326

∴ So the LCM of the given numbers is 3 x 41 x 326 = 40098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40098

Therefore, the GCF of Fractions 601/123,264/978 is 1/40098

Least Common Multiple of 123,978 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 123,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,978) = 3

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

GCF(123,978) x common factors =3 x 1 = 3

LCM(123,978) = ( 123 × 978 ) / 3

LCM(123,978) = 120294 / 3

LCM(123,978) = 40098

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 601/123, 264/978

1. What is the HCF of 601,264?

The HCF of 601,264 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 601/123, 264/978?

Answer: GCF of Numerators as per given numbers 601/123, 264/978 is

GCF of Numerators i.e. for 601,264 is 1

LCM of denominators i.e. for 123,978 is 40098.

Thus, GCF of Fractions is 1/40098.Finally, GCF of Fractions for 601/123, 264/978 is 1/40098.