Greatest Common Factor of 469/45, 766/28, 746/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 469/45, 766/28, 746/504

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 469/45,766/28,746/504

Given fractions are 469/45,766/28,746/504

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 469,766,746

Greatest Common Factor of Numerators i.e. GCF of 469,766,746 is 1 .

LCM of Denominators means LCM of 45,28,504 as per the given fractions.

LCM of 45,28,504 is 2520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 469,766,746

GCF of Fractions 469/45,766/28,746/504 is 1/2520

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

Greatest Common Factor of 469,766,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,766,746 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 469,766,746 . The biggest common factor number is the GCF number.
So the greatest common factor 469,766,746 is 1.

Lets's calculate LCM of 45,28,504

2 45, 28, 504
2 45, 14, 252
3 45, 7, 126
3 15, 7, 42
7 5, 7, 14
5, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 5 x 1 x 2 = 2520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520

Therefore, the GCF of Fractions 469/45,766/28,746/504 is 1/2520

Least Common Multiple of 45,28,504 with GCF Formula

Least Common Multiple of 45,28,504 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 45,28,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,28,504) = 1

common factors(in case of two or more numbers have common factors) = 252

GCF(45,28,504) x common factors =1 x 252 = 252

LCM(45,28,504) = ( 45 × 28 × 504 ) / 252

LCM(45,28,504) = 635040 / 252

LCM(45,28,504) = 2520


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 469/45, 766/28, 746/504

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 469/45, 766/28, 746/504?

Answer: GCF of Numerators as per given numbers 469/45, 766/28, 746/504 is

GCF of Numerators i.e. for 469,766,746 is 1

LCM of denominators i.e. for 45,28,504 is 2520.

Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 469/45, 766/28, 746/504 is 1/2520.