LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 669/409, 499/690

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 669/409, 499/690 i.e 1/282210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 669/409, 499/690.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 669/409,499/690?

Given fractions are 669/409,499/690

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 669/409,499/690, numerators are 669,499

Denominators are 409,690

The GCF of 669,499 is 1 .

LCM of 409,690 is 282210.

The greatest common factor of 669/409,499/690 = [GCF of 669,499]/[LCM of 409,690]= 1/282210

Therefore, the GCF of 669/409,499/690 is 1/282210.

Greatest Common Factor of 669,499

To find the highest common factor of 669,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 669 are 1, 3, 223, 669

The factors of 499 are 1, 499

The HCF of 669,499 is 1.

Lets's calculate GCF of 669,499

Greatest Common Factor (GCF) of 669,499 By Common Division

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

Greatest Common Factor of 669,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,499 By Matching Biggest Common Factor Method

Now, list down the factors of 669

:

1,3,223,669

Now, list down the factors of 499

:

1,499

Greatest Common Factor

We found the factors 669,499 . The biggest common factor number is the GCF number.
So the greatest common factor 669,499 is 1.

Lets's calculate LCM of 409,690

Lowest Common Multiple of 409,690 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 282210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282210

Therefore, the GCF of Fractions 669/409,499/690 is 1/282210

Least Common Multiple of 409,690 with GCF Formula

Least Common Multiple of 409,690 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 409,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,690) = 1

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

GCF(409,690) x common factors =1 x 1 = 1

LCM(409,690) = ( 409 × 690 ) / 1

LCM(409,690) = 282210 / 1

LCM(409,690) = 282210


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 669/409, 499/690

1. What is the HCF of 669,499?

The HCF of 669,499 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 669/409, 499/690?

Answer: GCF of Numerators as per given numbers 669/409, 499/690 is

GCF of Numerators i.e. for 669,499 is 1

LCM of denominators i.e. for 409,690 is 282210.

Thus, GCF of Fractions is 1/282210.Finally, GCF of Fractions for 669/409, 499/690 is 1/282210.