Greatest Common Factor of 690/6816, 120/1949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/6816, 120/1949

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 690/6816,120/1949

Given fractions are 690/6816,120/1949

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 690,120

Greatest Common Factor of Numerators i.e. GCF of 690,120 is 30 .

LCM of Denominators means LCM of 6816,1949 as per the given fractions.

LCM of 6816,1949 is 13284384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,120

GCF of Fractions 690/6816,120/1949 is 30/13284384

2 690, 120
3 345, 60
5 115, 20
23, 4

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 690,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,120 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 690,120 . The biggest common factor number is the GCF number.
So the greatest common factor 690,120 is 30.

Lets's calculate LCM of 6816,1949

Given numbers has no common factors except 1. So, there LCM is their product i.e 13284384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/13284384

Therefore, the GCF of Fractions 690/6816,120/1949 is 30/13284384

Least Common Multiple of 6816,1949 with GCF Formula

Least Common Multiple of 6816,1949 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 6816,1949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6816,1949) = 1

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

GCF(6816,1949) x common factors =1 x 1 = 1

LCM(6816,1949) = ( 6816 × 1949 ) / 1

LCM(6816,1949) = 13284384 / 1

LCM(6816,1949) = 13284384


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 690/6816, 120/1949

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 690/6816, 120/1949?

Answer: GCF of Numerators as per given numbers 690/6816, 120/1949 is

GCF of Numerators i.e. for 690,120 is 30

LCM of denominators i.e. for 6816,1949 is 13284384.

Thus, GCF of Fractions is 30/13284384.Finally, GCF of Fractions for 690/6816, 120/1949 is 30/13284384.