Greatest Common Factor of 146/44, 441/83, 262/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 146/44, 441/83, 262/498

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 146/44,441/83,262/498

Given fractions are 146/44,441/83,262/498

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 146,441,262

Greatest Common Factor of Numerators i.e. GCF of 146,441,262 is 1 .

LCM of Denominators means LCM of 44,83,498 as per the given fractions.

LCM of 44,83,498 is 10956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 146,441,262

GCF of Fractions 146/44,441/83,262/498 is 1/10956

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

Greatest Common Factor of 146,441,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,441,262 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 146,441,262 . The biggest common factor number is the GCF number.
So the greatest common factor 146,441,262 is 1.

Lets's calculate LCM of 44,83,498

2 44, 83, 498
83 22, 83, 249
22, 1, 3

∴ So the LCM of the given numbers is 2 x 83 x 22 x 1 x 3 = 10956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10956

Therefore, the GCF of Fractions 146/44,441/83,262/498 is 1/10956

Least Common Multiple of 44,83,498 with GCF Formula

Least Common Multiple of 44,83,498 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 44,83,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,83,498) = 1

common factors(in case of two or more numbers have common factors) = 166

GCF(44,83,498) x common factors =1 x 166 = 166

LCM(44,83,498) = ( 44 × 83 × 498 ) / 166

LCM(44,83,498) = 1818696 / 166

LCM(44,83,498) = 10956


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 146/44, 441/83, 262/498

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 146/44, 441/83, 262/498?

Answer: GCF of Numerators as per given numbers 146/44, 441/83, 262/498 is

GCF of Numerators i.e. for 146,441,262 is 1

LCM of denominators i.e. for 44,83,498 is 10956.

Thus, GCF of Fractions is 1/10956.Finally, GCF of Fractions for 146/44, 441/83, 262/498 is 1/10956.