Greatest Common Factor of 448/810, 630/544, 672/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/810, 630/544, 672/924

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 448/810,630/544,672/924

Given fractions are 448/810,630/544,672/924

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 448,630,672

Greatest Common Factor of Numerators i.e. GCF of 448,630,672 is 14 .

LCM of Denominators means LCM of 810,544,924 as per the given fractions.

LCM of 810,544,924 is 16964640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,630,672

GCF of Fractions 448/810,630/544,672/924 is 14/16964640

2 448, 630, 672
7 224, 315, 336
32, 45, 48

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 448,630,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,630,672 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 448,630,672 . The biggest common factor number is the GCF number.
So the greatest common factor 448,630,672 is 14.

Lets's calculate LCM of 810,544,924

2 810, 544, 924
2 405, 272, 462
3 405, 136, 231
135, 136, 77

∴ So the LCM of the given numbers is 2 x 2 x 3 x 135 x 136 x 77 = 16964640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/16964640

Therefore, the GCF of Fractions 448/810,630/544,672/924 is 14/16964640

Least Common Multiple of 810,544,924 with GCF Formula

Least Common Multiple of 810,544,924 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 810,544,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,544,924) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(810,544,924) x common factors =2 x 12 = 24

LCM(810,544,924) = ( 810 × 544 × 924 ) / 24

LCM(810,544,924) = 407151360 / 24

LCM(810,544,924) = 16964640


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 448/810, 630/544, 672/924

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 448/810, 630/544, 672/924?

Answer: GCF of Numerators as per given numbers 448/810, 630/544, 672/924 is

GCF of Numerators i.e. for 448,630,672 is 14

LCM of denominators i.e. for 810,544,924 is 16964640.

Thus, GCF of Fractions is 14/16964640.Finally, GCF of Fractions for 448/810, 630/544, 672/924 is 14/16964640.