Greatest Common Factor of 1/38, 28/61, 35/451, 413/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/38, 28/61, 35/451, 413/532

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 1/38,28/61,35/451,413/532

Given fractions are 1/38,28/61,35/451,413/532

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 1,28,35,413

Greatest Common Factor of Numerators i.e. GCF of 1,28,35,413 is 1 .

LCM of Denominators means LCM of 38,61,451,532 as per the given fractions.

LCM of 38,61,451,532 is 14635852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,28,35,413

GCF of Fractions 1/38,28/61,35/451,413/532 is 1/14635852

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

Greatest Common Factor of 1,28,35,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,28,35,413 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 1,28,35,413 . The biggest common factor number is the GCF number.
So the greatest common factor 1,28,35,413 is 1.

Lets's calculate LCM of 38,61,451,532

2 38, 61, 451, 532
19 19, 61, 451, 266
1, 61, 451, 14

∴ So the LCM of the given numbers is 2 x 19 x 1 x 61 x 451 x 14 = 14635852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14635852

Therefore, the GCF of Fractions 1/38,28/61,35/451,413/532 is 1/14635852

Least Common Multiple of 38,61,451,532 with GCF Formula

Least Common Multiple of 38,61,451,532 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 38,61,451,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,61,451,532) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(38,61,451,532) x common factors =1 x 38 = 38

LCM(38,61,451,532) = ( 38 × 61 × 451 × 532 ) / 38

LCM(38,61,451,532) = 556162376 / 38

LCM(38,61,451,532) = 14635852


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 1/38, 28/61, 35/451, 413/532

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 1/38, 28/61, 35/451, 413/532?

Answer: GCF of Numerators as per given numbers 1/38, 28/61, 35/451, 413/532 is

GCF of Numerators i.e. for 1,28,35,413 is 1

LCM of denominators i.e. for 38,61,451,532 is 14635852.

Thus, GCF of Fractions is 1/14635852.Finally, GCF of Fractions for 1/38, 28/61, 35/451, 413/532 is 1/14635852.