Greatest Common Factor of 659/400, 571/420, 498/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 659/400, 571/420, 498/675

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 659/400,571/420,498/675

Given fractions are 659/400,571/420,498/675

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 659,571,498

Greatest Common Factor of Numerators i.e. GCF of 659,571,498 is 1 .

LCM of Denominators means LCM of 400,420,675 as per the given fractions.

LCM of 400,420,675 is 75600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 659,571,498

GCF of Fractions 659/400,571/420,498/675 is 1/75600

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

Greatest Common Factor of 659,571,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,571,498 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 659,571,498 . The biggest common factor number is the GCF number.
So the greatest common factor 659,571,498 is 1.

Lets's calculate LCM of 400,420,675

2 400, 420, 675
2 200, 210, 675
3 100, 105, 675
5 100, 35, 225
5 20, 7, 45
4, 7, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 4 x 7 x 9 = 75600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75600

Therefore, the GCF of Fractions 659/400,571/420,498/675 is 1/75600

Least Common Multiple of 400,420,675 with GCF Formula

Least Common Multiple of 400,420,675 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 400,420,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,420,675) = 5

common factors(in case of two or more numbers have common factors) = 300

GCF(400,420,675) x common factors =5 x 300 = 1500

LCM(400,420,675) = ( 400 × 420 × 675 ) / 1500

LCM(400,420,675) = 113400000 / 1500

LCM(400,420,675) = 75600


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 659/400, 571/420, 498/675

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 659/400, 571/420, 498/675?

Answer: GCF of Numerators as per given numbers 659/400, 571/420, 498/675 is

GCF of Numerators i.e. for 659,571,498 is 1

LCM of denominators i.e. for 400,420,675 is 75600.

Thus, GCF of Fractions is 1/75600.Finally, GCF of Fractions for 659/400, 571/420, 498/675 is 1/75600.