Greatest Common Factor of 30/41, 62/38, 706/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/41, 62/38, 706/267

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 30/41,62/38,706/267

Given fractions are 30/41,62/38,706/267

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 30,62,706

Greatest Common Factor of Numerators i.e. GCF of 30,62,706 is 2 .

LCM of Denominators means LCM of 41,38,267 as per the given fractions.

LCM of 41,38,267 is 415986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,62,706

GCF of Fractions 30/41,62/38,706/267 is 2/415986

2 30, 62, 706
15, 31, 353

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

Greatest Common Factor of 30,62,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,62,706 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 30,62,706 . The biggest common factor number is the GCF number.
So the greatest common factor 30,62,706 is 2.

Lets's calculate LCM of 41,38,267

Given numbers has no common factors except 1. So, there LCM is their product i.e 415986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/415986

Therefore, the GCF of Fractions 30/41,62/38,706/267 is 2/415986

Least Common Multiple of 41,38,267 with GCF Formula

Least Common Multiple of 41,38,267 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 41,38,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,38,267) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(41,38,267) x common factors =1 x 1 = 1

LCM(41,38,267) = ( 41 × 38 × 267 ) / 1

LCM(41,38,267) = 415986 / 1

LCM(41,38,267) = 415986


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 30/41, 62/38, 706/267

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 30/41, 62/38, 706/267?

Answer: GCF of Numerators as per given numbers 30/41, 62/38, 706/267 is

GCF of Numerators i.e. for 30,62,706 is 2

LCM of denominators i.e. for 41,38,267 is 415986.

Thus, GCF of Fractions is 2/415986.Finally, GCF of Fractions for 30/41, 62/38, 706/267 is 2/415986.