Greatest Common Factor of 403/19, 898/30, 823/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 403/19, 898/30, 823/102

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 403/19,898/30,823/102

Given fractions are 403/19,898/30,823/102

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 403,898,823

Greatest Common Factor of Numerators i.e. GCF of 403,898,823 is 1 .

LCM of Denominators means LCM of 19,30,102 as per the given fractions.

LCM of 19,30,102 is 9690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 403,898,823

GCF of Fractions 403/19,898/30,823/102 is 1/9690

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

Greatest Common Factor of 403,898,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,898,823 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 403,898,823 . The biggest common factor number is the GCF number.
So the greatest common factor 403,898,823 is 1.

Lets's calculate LCM of 19,30,102

2 19, 30, 102
3 19, 15, 51
19, 5, 17

∴ So the LCM of the given numbers is 2 x 3 x 19 x 5 x 17 = 9690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9690

Therefore, the GCF of Fractions 403/19,898/30,823/102 is 1/9690

Least Common Multiple of 19,30,102 with GCF Formula

Least Common Multiple of 19,30,102 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 19,30,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,30,102) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(19,30,102) x common factors =1 x 6 = 6

LCM(19,30,102) = ( 19 × 30 × 102 ) / 6

LCM(19,30,102) = 58140 / 6

LCM(19,30,102) = 9690


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 403/19, 898/30, 823/102

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 403/19, 898/30, 823/102?

Answer: GCF of Numerators as per given numbers 403/19, 898/30, 823/102 is

GCF of Numerators i.e. for 403,898,823 is 1

LCM of denominators i.e. for 19,30,102 is 9690.

Thus, GCF of Fractions is 1/9690.Finally, GCF of Fractions for 403/19, 898/30, 823/102 is 1/9690.