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 682/67, 406/9469

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 682/67, 406/9469 i.e 2/634423 easily. The following is the detailed procedure to determine the greatest common factor of fractions 682/67, 406/9469.

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 682/67,406/9469?

Given fractions are 682/67,406/9469

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 682/67,406/9469, numerators are 682,406

Denominators are 67,9469

The GCF of 682,406 is 2 .

LCM of 67,9469 is 634423.

The greatest common factor of 682/67,406/9469 = [GCF of 682,406]/[LCM of 67,9469]= 2/634423

Therefore, the GCF of 682/67,406/9469 is 2/634423.

Greatest Common Factor of 682,406

To find the highest common factor of 682,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 682,406 is 2.

Lets's calculate GCF of 682,406

Greatest Common Factor (GCF) of 682,406 By Common Division

2 682, 406
341, 203

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 682,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,406 By Matching Biggest Common Factor Method

Now, list down the factors of 682

:

1,2,11,22,31,62,341,682

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 682,406 . The biggest common factor number is the GCF number.
So the greatest common factor 682,406 is 2.

Lets's calculate LCM of 67,9469

Lowest Common Multiple of 67,9469 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 634423

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/634423

Therefore, the GCF of Fractions 682/67,406/9469 is 2/634423

Least Common Multiple of 67,9469 with GCF Formula

Least Common Multiple of 67,9469 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 67,9469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,9469) = 1

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

GCF(67,9469) x common factors =1 x 1 = 1

LCM(67,9469) = ( 67 × 9469 ) / 1

LCM(67,9469) = 634423 / 1

LCM(67,9469) = 634423


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 682/67, 406/9469

1. What is the HCF of 682,406?

The HCF of 682,406 is 2

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 682/67, 406/9469?

Answer: GCF of Numerators as per given numbers 682/67, 406/9469 is

GCF of Numerators i.e. for 682,406 is 2

LCM of denominators i.e. for 67,9469 is 634423.

Thus, GCF of Fractions is 2/634423.Finally, GCF of Fractions for 682/67, 406/9469 is 2/634423.