Greatest Common Factor of 49/28, 583/50, 411/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/28, 583/50, 411/949

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 49/28,583/50,411/949

Given fractions are 49/28,583/50,411/949

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 49,583,411

Greatest Common Factor of Numerators i.e. GCF of 49,583,411 is 1 .

LCM of Denominators means LCM of 28,50,949 as per the given fractions.

LCM of 28,50,949 is 664300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,583,411

GCF of Fractions 49/28,583/50,411/949 is 1/664300

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

Greatest Common Factor of 49,583,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,583,411 By Matching Biggest Common Factor Method

Factors of 49

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

1,7,49

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 49,583,411 . The biggest common factor number is the GCF number.
So the greatest common factor 49,583,411 is 1.

Lets's calculate LCM of 28,50,949

2 28, 50, 949
14, 25, 949

∴ So the LCM of the given numbers is 2 x 14 x 25 x 949 = 664300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/664300

Therefore, the GCF of Fractions 49/28,583/50,411/949 is 1/664300

Least Common Multiple of 28,50,949 with GCF Formula

Least Common Multiple of 28,50,949 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 28,50,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,50,949) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(28,50,949) x common factors =1 x 2 = 2

LCM(28,50,949) = ( 28 × 50 × 949 ) / 2

LCM(28,50,949) = 1328600 / 2

LCM(28,50,949) = 664300


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 49/28, 583/50, 411/949

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 49/28, 583/50, 411/949?

Answer: GCF of Numerators as per given numbers 49/28, 583/50, 411/949 is

GCF of Numerators i.e. for 49,583,411 is 1

LCM of denominators i.e. for 28,50,949 is 664300.

Thus, GCF of Fractions is 1/664300.Finally, GCF of Fractions for 49/28, 583/50, 411/949 is 1/664300.