How to Find GCF of 400/628, 499/687?

GCF of 400/628, 499/687

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 400/628, 499/687 i.e 1/431436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 400/628, 499/687.

Enter two or more fractions separated by "commas"

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

What is the GCF of 400/628,499/687?

Given fractions are 400/628,499/687

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 400/628,499/687, numerators are 400,499

Denominators are 628,687

The GCF of 400,499 is 1 .

LCM of 628,687 is 431436.

The greatest common factor of 400/628,499/687 = [GCF of 400,499]/[LCM of 628,687]= 1/431436

Therefore, the GCF of 400/628,499/687 is 1/431436.

Greatest Common Factor of 400,499

To find the highest common factor of 400,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

The factors of 499 are 1, 499

The HCF of 400,499 is 1.

Lets's calculate GCF of 400,499

Greatest Common Factor (GCF) of 400,499 By Common Division

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

Greatest Common Factor of 400,499 By Matching Biggest Common Factor Method

Now, list down the factors of 400

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 400,499 . The biggest common factor number is the GCF number.
So the greatest common factor 400,499 is 1.

Lets's calculate LCM of 628,687

Lowest Common Multiple of 628,687 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 431436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431436

Therefore, the GCF of Fractions 400/628,499/687 is 1/431436

Least Common Multiple of 628,687 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 628,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,687) = 1

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

GCF(628,687) x common factors =1 x 1 = 1

LCM(628,687) = ( 628 × 687 ) / 1

LCM(628,687) = 431436 / 1

LCM(628,687) = 431436

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 400/628, 499/687

1. What is the HCF of 400,499?

The HCF of 400,499 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 400/628, 499/687?

Answer: GCF of Numerators as per given numbers 400/628, 499/687 is

GCF of Numerators i.e. for 400,499 is 1

LCM of denominators i.e. for 628,687 is 431436.

Thus, GCF of Fractions is 1/431436.Finally, GCF of Fractions for 400/628, 499/687 is 1/431436.