Greatest Common Factor of 1/15, 49/11, 39/750, 541/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/15, 49/11, 39/750, 541/356

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 1/15,49/11,39/750,541/356

Given fractions are 1/15,49/11,39/750,541/356

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 1,49,39,541

Greatest Common Factor of Numerators i.e. GCF of 1,49,39,541 is 1 .

LCM of Denominators means LCM of 15,11,750,356 as per the given fractions.

LCM of 15,11,750,356 is 1468500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,49,39,541

GCF of Fractions 1/15,49/11,39/750,541/356 is 1/1468500

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

Greatest Common Factor of 1,49,39,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,49,39,541 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 1,49,39,541 . The biggest common factor number is the GCF number.
So the greatest common factor 1,49,39,541 is 1.

Lets's calculate LCM of 15,11,750,356

2 15, 11, 750, 356
3 15, 11, 375, 178
5 5, 11, 125, 178
1, 11, 25, 178

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 11 x 25 x 178 = 1468500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1468500

Therefore, the GCF of Fractions 1/15,49/11,39/750,541/356 is 1/1468500

Least Common Multiple of 15,11,750,356 with GCF Formula

Least Common Multiple of 15,11,750,356 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 15,11,750,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,11,750,356) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(15,11,750,356) x common factors =1 x 30 = 30

LCM(15,11,750,356) = ( 15 × 11 × 750 × 356 ) / 30

LCM(15,11,750,356) = 44055000 / 30

LCM(15,11,750,356) = 1468500


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 1/15, 49/11, 39/750, 541/356

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 1/15, 49/11, 39/750, 541/356?

Answer: GCF of Numerators as per given numbers 1/15, 49/11, 39/750, 541/356 is

GCF of Numerators i.e. for 1,49,39,541 is 1

LCM of denominators i.e. for 15,11,750,356 is 1468500.

Thus, GCF of Fractions is 1/1468500.Finally, GCF of Fractions for 1/15, 49/11, 39/750, 541/356 is 1/1468500.