Greatest Common Factor of 4698/162, 2310/1758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4698/162, 2310/1758

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4698/162,2310/1758

Given fractions are 4698/162,2310/1758

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4698,2310

Greatest Common Factor of Numerators i.e. GCF of 4698,2310 is 6 .

LCM of Denominators means LCM of 162,1758 as per the given fractions.

LCM of 162,1758 is 47466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4698,2310

GCF of Fractions 4698/162,2310/1758 is 6/47466

2 4698, 2310
3 2349, 1155
783, 385

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4698,2310 By Matching Biggest Common Factor Method

Greatest Common Factor of 4698,2310 By Matching Biggest Common Factor Method

Factors of 4698

List of positive integer factors of 4698 that divides 4698 without a remainder.

1,2,3,6,9,18,27,29,54,58,81,87,162,174,261,522,783,1566,2349,4698

Factors of 2310

List of positive integer factors of 2310 that divides 2310 without a remainder.

1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310

Greatest Common Factor

We found the factors 4698,2310 . The biggest common factor number is the GCF number.
So the greatest common factor 4698,2310 is 6.

Lets's calculate LCM of 162,1758

2 162, 1758
3 81, 879
27, 293

∴ So the LCM of the given numbers is 2 x 3 x 27 x 293 = 47466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/47466

Therefore, the GCF of Fractions 4698/162,2310/1758 is 6/47466

Least Common Multiple of 162,1758 with GCF Formula

Least Common Multiple of 162,1758 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 162,1758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,1758) = 6

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

GCF(162,1758) x common factors =6 x 1 = 6

LCM(162,1758) = ( 162 × 1758 ) / 6

LCM(162,1758) = 284796 / 6

LCM(162,1758) = 47466


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4698/162, 2310/1758

1. 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.

2. What is the GCF of Fractions for 4698/162, 2310/1758?

Answer: GCF of Numerators as per given numbers 4698/162, 2310/1758 is

GCF of Numerators i.e. for 4698,2310 is 6

LCM of denominators i.e. for 162,1758 is 47466.

Thus, GCF of Fractions is 6/47466.Finally, GCF of Fractions for 4698/162, 2310/1758 is 6/47466.