Greatest Common Factor of 448/63, 172/89, 828/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/63, 172/89, 828/924

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 448/63,172/89,828/924

Given fractions are 448/63,172/89,828/924

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 448,172,828

Greatest Common Factor of Numerators i.e. GCF of 448,172,828 is 4 .

LCM of Denominators means LCM of 63,89,924 as per the given fractions.

LCM of 63,89,924 is 246708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,172,828

GCF of Fractions 448/63,172/89,828/924 is 4/246708

2 448, 172, 828
2 224, 86, 414
112, 43, 207

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 448,172,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,172,828 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 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 448,172,828 . The biggest common factor number is the GCF number.
So the greatest common factor 448,172,828 is 4.

Lets's calculate LCM of 63,89,924

3 63, 89, 924
7 21, 89, 308
3, 89, 44

∴ So the LCM of the given numbers is 3 x 7 x 3 x 89 x 44 = 246708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/246708

Therefore, the GCF of Fractions 448/63,172/89,828/924 is 4/246708

Least Common Multiple of 63,89,924 with GCF Formula

Least Common Multiple of 63,89,924 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 63,89,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,89,924) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(63,89,924) x common factors =1 x 21 = 21

LCM(63,89,924) = ( 63 × 89 × 924 ) / 21

LCM(63,89,924) = 5180868 / 21

LCM(63,89,924) = 246708


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 448/63, 172/89, 828/924

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 448/63, 172/89, 828/924?

Answer: GCF of Numerators as per given numbers 448/63, 172/89, 828/924 is

GCF of Numerators i.e. for 448,172,828 is 4

LCM of denominators i.e. for 63,89,924 is 246708.

Thus, GCF of Fractions is 4/246708.Finally, GCF of Fractions for 448/63, 172/89, 828/924 is 4/246708.