Greatest Common Factor of 893/998, 901/614, 459/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 893/998, 901/614, 459/228

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 893/998,901/614,459/228

Given fractions are 893/998,901/614,459/228

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 893,901,459

Greatest Common Factor of Numerators i.e. GCF of 893,901,459 is 1 .

LCM of Denominators means LCM of 998,614,228 as per the given fractions.

LCM of 998,614,228 is 34928004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 893,901,459

GCF of Fractions 893/998,901/614,459/228 is 1/34928004

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

Greatest Common Factor of 893,901,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,901,459 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 893,901,459 . The biggest common factor number is the GCF number.
So the greatest common factor 893,901,459 is 1.

Lets's calculate LCM of 998,614,228

2 998, 614, 228
499, 307, 114

∴ So the LCM of the given numbers is 2 x 499 x 307 x 114 = 34928004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34928004

Therefore, the GCF of Fractions 893/998,901/614,459/228 is 1/34928004

Least Common Multiple of 998,614,228 with GCF Formula

Least Common Multiple of 998,614,228 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 998,614,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,614,228) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(998,614,228) x common factors =2 x 2 = 4

LCM(998,614,228) = ( 998 × 614 × 228 ) / 4

LCM(998,614,228) = 139712016 / 4

LCM(998,614,228) = 34928004


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 893/998, 901/614, 459/228

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 893/998, 901/614, 459/228?

Answer: GCF of Numerators as per given numbers 893/998, 901/614, 459/228 is

GCF of Numerators i.e. for 893,901,459 is 1

LCM of denominators i.e. for 998,614,228 is 34928004.

Thus, GCF of Fractions is 1/34928004.Finally, GCF of Fractions for 893/998, 901/614, 459/228 is 1/34928004.