Greatest Common Factor of 36/898, 224/354, 162/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/898, 224/354, 162/692

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 36/898,224/354,162/692

Given fractions are 36/898,224/354,162/692

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 36,224,162

Greatest Common Factor of Numerators i.e. GCF of 36,224,162 is 2 .

LCM of Denominators means LCM of 898,354,692 as per the given fractions.

LCM of 898,354,692 is 54995316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,224,162

GCF of Fractions 36/898,224/354,162/692 is 2/54995316

2 36, 224, 162
18, 112, 81

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

Greatest Common Factor of 36,224,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,224,162 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 36,224,162 . The biggest common factor number is the GCF number.
So the greatest common factor 36,224,162 is 2.

Lets's calculate LCM of 898,354,692

2 898, 354, 692
449, 177, 346

∴ So the LCM of the given numbers is 2 x 449 x 177 x 346 = 54995316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54995316

Therefore, the GCF of Fractions 36/898,224/354,162/692 is 2/54995316

Least Common Multiple of 898,354,692 with GCF Formula

Least Common Multiple of 898,354,692 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 898,354,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,354,692) = 2

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

GCF(898,354,692) x common factors =2 x 2 = 4

LCM(898,354,692) = ( 898 × 354 × 692 ) / 4

LCM(898,354,692) = 219981264 / 4

LCM(898,354,692) = 54995316


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 36/898, 224/354, 162/692

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 36/898, 224/354, 162/692?

Answer: GCF of Numerators as per given numbers 36/898, 224/354, 162/692 is

GCF of Numerators i.e. for 36,224,162 is 2

LCM of denominators i.e. for 898,354,692 is 54995316.

Thus, GCF of Fractions is 2/54995316.Finally, GCF of Fractions for 36/898, 224/354, 162/692 is 2/54995316.