Greatest Common Factor of 49/824, 90/333, 649/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/824, 90/333, 649/829

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 49/824,90/333,649/829

Given fractions are 49/824,90/333,649/829

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 49,90,649

Greatest Common Factor of Numerators i.e. GCF of 49,90,649 is 1 .

LCM of Denominators means LCM of 824,333,829 as per the given fractions.

LCM of 824,333,829 is 227470968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,90,649

GCF of Fractions 49/824,90/333,649/829 is 1/227470968

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

Greatest Common Factor of 49,90,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,90,649 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 49,90,649 . The biggest common factor number is the GCF number.
So the greatest common factor 49,90,649 is 1.

Lets's calculate LCM of 824,333,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 227470968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227470968

Therefore, the GCF of Fractions 49/824,90/333,649/829 is 1/227470968

Least Common Multiple of 824,333,829 with GCF Formula

Least Common Multiple of 824,333,829 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 824,333,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,333,829) = 1

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

GCF(824,333,829) x common factors =1 x 1 = 1

LCM(824,333,829) = ( 824 × 333 × 829 ) / 1

LCM(824,333,829) = 227470968 / 1

LCM(824,333,829) = 227470968


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 49/824, 90/333, 649/829

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 49/824, 90/333, 649/829?

Answer: GCF of Numerators as per given numbers 49/824, 90/333, 649/829 is

GCF of Numerators i.e. for 49,90,649 is 1

LCM of denominators i.e. for 824,333,829 is 227470968.

Thus, GCF of Fractions is 1/227470968.Finally, GCF of Fractions for 49/824, 90/333, 649/829 is 1/227470968.