How to Find GCF of 518/460, 123/608?

GCF of 518/460, 123/608

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 518/460, 123/608 i.e 1/69920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/460, 123/608.

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 518/460,123/608?

Given fractions are 518/460,123/608

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 518/460,123/608, numerators are 518,123

Denominators are 460,608

The GCF of 518,123 is 1 .

LCM of 460,608 is 69920.

The greatest common factor of 518/460,123/608 = [GCF of 518,123]/[LCM of 460,608]= 1/69920

Therefore, the GCF of 518/460,123/608 is 1/69920.

Greatest Common Factor of 518,123

To find the highest common factor of 518,123, we have to find the factors of both numbers and list the highest common factor.

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The factors of 123 are 1, 3, 41, 123

The HCF of 518,123 is 1.

Lets's calculate GCF of 518,123

Greatest Common Factor (GCF) of 518,123 By Common Division

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

Greatest Common Factor of 518,123 By Matching Biggest Common Factor Method

Now, list down the factors of 518

1,2,7,14,37,74,259,518

Now, list down the factors of 123

1,3,41,123

Greatest Common Factor

We found the factors 518,123 . The biggest common factor number is the GCF number.
So the greatest common factor 518,123 is 1.

Lets's calculate LCM of 460,608

Lowest Common Multiple of 460,608 using Common Division

2	460, 608
2	230, 304
	115, 152

∴ So the LCM of the given numbers is 2 x 2 x 115 x 152 = 69920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69920

Therefore, the GCF of Fractions 518/460,123/608 is 1/69920

Least Common Multiple of 460,608 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 460,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,608) = 4

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

GCF(460,608) x common factors =4 x 1 = 4

LCM(460,608) = ( 460 × 608 ) / 4

LCM(460,608) = 279680 / 4

LCM(460,608) = 69920

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 518/460, 123/608

1. What is the HCF of 518,123?

The HCF of 518,123 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 518/460, 123/608?

Answer: GCF of Numerators as per given numbers 518/460, 123/608 is

GCF of Numerators i.e. for 518,123 is 1

LCM of denominators i.e. for 460,608 is 69920.

Thus, GCF of Fractions is 1/69920.Finally, GCF of Fractions for 518/460, 123/608 is 1/69920.