Greatest Common Factor of 406/44, 495/65, 559/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/44, 495/65, 559/504

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 406/44,495/65,559/504

Given fractions are 406/44,495/65,559/504

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 406,495,559

Greatest Common Factor of Numerators i.e. GCF of 406,495,559 is 1 .

LCM of Denominators means LCM of 44,65,504 as per the given fractions.

LCM of 44,65,504 is 360360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,495,559

GCF of Fractions 406/44,495/65,559/504 is 1/360360

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

Greatest Common Factor of 406,495,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,495,559 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

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

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 406,495,559 . The biggest common factor number is the GCF number.
So the greatest common factor 406,495,559 is 1.

Lets's calculate LCM of 44,65,504

2 44, 65, 504
2 22, 65, 252
11, 65, 126

∴ So the LCM of the given numbers is 2 x 2 x 11 x 65 x 126 = 360360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360360

Therefore, the GCF of Fractions 406/44,495/65,559/504 is 1/360360

Least Common Multiple of 44,65,504 with GCF Formula

Least Common Multiple of 44,65,504 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 44,65,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,65,504) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,65,504) x common factors =1 x 4 = 4

LCM(44,65,504) = ( 44 × 65 × 504 ) / 4

LCM(44,65,504) = 1441440 / 4

LCM(44,65,504) = 360360


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 406/44, 495/65, 559/504

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 406/44, 495/65, 559/504?

Answer: GCF of Numerators as per given numbers 406/44, 495/65, 559/504 is

GCF of Numerators i.e. for 406,495,559 is 1

LCM of denominators i.e. for 44,65,504 is 360360.

Thus, GCF of Fractions is 1/360360.Finally, GCF of Fractions for 406/44, 495/65, 559/504 is 1/360360.