Greatest Common Factor of 1669/62, 2148/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1669/62, 2148/494

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 1669/62,2148/494

Given fractions are 1669/62,2148/494

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 1669,2148

Greatest Common Factor of Numerators i.e. GCF of 1669,2148 is 1 .

LCM of Denominators means LCM of 62,494 as per the given fractions.

LCM of 62,494 is 15314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1669,2148

GCF of Fractions 1669/62,2148/494 is 1/15314

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

Greatest Common Factor of 1669,2148 By Matching Biggest Common Factor Method

Greatest Common Factor of 1669,2148 By Matching Biggest Common Factor Method

Factors of 1669

List of positive integer factors of 1669 that divides 1669 without a remainder.

1,1669

Factors of 2148

List of positive integer factors of 2148 that divides 2148 without a remainder.

1,2,3,4,6,12,179,358,537,716,1074,2148

Greatest Common Factor

We found the factors 1669,2148 . The biggest common factor number is the GCF number.
So the greatest common factor 1669,2148 is 1.

Lets's calculate LCM of 62,494

2 62, 494
31, 247

∴ So the LCM of the given numbers is 2 x 31 x 247 = 15314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15314

Therefore, the GCF of Fractions 1669/62,2148/494 is 1/15314

Least Common Multiple of 62,494 with GCF Formula

Least Common Multiple of 62,494 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 62,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,494) = 2

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

GCF(62,494) x common factors =2 x 1 = 2

LCM(62,494) = ( 62 × 494 ) / 2

LCM(62,494) = 30628 / 2

LCM(62,494) = 15314


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 1669/62, 2148/494

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 1669/62, 2148/494?

Answer: GCF of Numerators as per given numbers 1669/62, 2148/494 is

GCF of Numerators i.e. for 1669,2148 is 1

LCM of denominators i.e. for 62,494 is 15314.

Thus, GCF of Fractions is 1/15314.Finally, GCF of Fractions for 1669/62, 2148/494 is 1/15314.