Greatest Common Factor of 442/32, 705/11, 341/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 442/32, 705/11, 341/121

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 442/32,705/11,341/121

Given fractions are 442/32,705/11,341/121

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 442,705,341

Greatest Common Factor of Numerators i.e. GCF of 442,705,341 is 1 .

LCM of Denominators means LCM of 32,11,121 as per the given fractions.

LCM of 32,11,121 is 3872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 442,705,341

GCF of Fractions 442/32,705/11,341/121 is 1/3872

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

Greatest Common Factor of 442,705,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,705,341 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 442,705,341 . The biggest common factor number is the GCF number.
So the greatest common factor 442,705,341 is 1.

Lets's calculate LCM of 32,11,121

11 32, 11, 121
32, 1, 11

∴ So the LCM of the given numbers is 11 x 32 x 1 x 11 = 3872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3872

Therefore, the GCF of Fractions 442/32,705/11,341/121 is 1/3872

Least Common Multiple of 32,11,121 with GCF Formula

Least Common Multiple of 32,11,121 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 32,11,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,11,121) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(32,11,121) x common factors =1 x 11 = 11

LCM(32,11,121) = ( 32 × 11 × 121 ) / 11

LCM(32,11,121) = 42592 / 11

LCM(32,11,121) = 3872


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 442/32, 705/11, 341/121

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 442/32, 705/11, 341/121?

Answer: GCF of Numerators as per given numbers 442/32, 705/11, 341/121 is

GCF of Numerators i.e. for 442,705,341 is 1

LCM of denominators i.e. for 32,11,121 is 3872.

Thus, GCF of Fractions is 1/3872.Finally, GCF of Fractions for 442/32, 705/11, 341/121 is 1/3872.