Greatest Common Factor of 1858/498, 3458/3300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1858/498, 3458/3300

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 1858/498,3458/3300

Given fractions are 1858/498,3458/3300

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 1858,3458

Greatest Common Factor of Numerators i.e. GCF of 1858,3458 is 2 .

LCM of Denominators means LCM of 498,3300 as per the given fractions.

LCM of 498,3300 is 273900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1858,3458

GCF of Fractions 1858/498,3458/3300 is 2/273900

2 1858, 3458
929, 1729

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

Greatest Common Factor of 1858,3458 By Matching Biggest Common Factor Method

Greatest Common Factor of 1858,3458 By Matching Biggest Common Factor Method

Factors of 1858

List of positive integer factors of 1858 that divides 1858 without a remainder.

1,2,929,1858

Factors of 3458

List of positive integer factors of 3458 that divides 3458 without a remainder.

1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458

Greatest Common Factor

We found the factors 1858,3458 . The biggest common factor number is the GCF number.
So the greatest common factor 1858,3458 is 2.

Lets's calculate LCM of 498,3300

2 498, 3300
3 249, 1650
83, 550

∴ So the LCM of the given numbers is 2 x 3 x 83 x 550 = 273900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/273900

Therefore, the GCF of Fractions 1858/498,3458/3300 is 2/273900

Least Common Multiple of 498,3300 with GCF Formula

Least Common Multiple of 498,3300 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 498,3300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,3300) = 6

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

GCF(498,3300) x common factors =6 x 1 = 6

LCM(498,3300) = ( 498 × 3300 ) / 6

LCM(498,3300) = 1643400 / 6

LCM(498,3300) = 273900


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1858/498, 3458/3300

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 1858/498, 3458/3300?

Answer: GCF of Numerators as per given numbers 1858/498, 3458/3300 is

GCF of Numerators i.e. for 1858,3458 is 2

LCM of denominators i.e. for 498,3300 is 273900.

Thus, GCF of Fractions is 2/273900.Finally, GCF of Fractions for 1858/498, 3458/3300 is 2/273900.