Greatest Common Factor of 528/828, 3227/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 528/828, 3227/430

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 528/828,3227/430

Given fractions are 528/828,3227/430

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 528,3227

Greatest Common Factor of Numerators i.e. GCF of 528,3227 is 1 .

LCM of Denominators means LCM of 828,430 as per the given fractions.

LCM of 828,430 is 178020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 528,3227

GCF of Fractions 528/828,3227/430 is 1/178020

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

Greatest Common Factor of 528,3227 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,3227 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 3227

List of positive integer factors of 3227 that divides 3227 without a remainder.

1,7,461,3227

Greatest Common Factor

We found the factors 528,3227 . The biggest common factor number is the GCF number.
So the greatest common factor 528,3227 is 1.

Lets's calculate LCM of 828,430

2 828, 430
414, 215

∴ So the LCM of the given numbers is 2 x 414 x 215 = 178020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178020

Therefore, the GCF of Fractions 528/828,3227/430 is 1/178020

Least Common Multiple of 828,430 with GCF Formula

Least Common Multiple of 828,430 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 828,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,430) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(828,430) x common factors =2 x 1 = 2

LCM(828,430) = ( 828 × 430 ) / 2

LCM(828,430) = 356040 / 2

LCM(828,430) = 178020


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 528/828, 3227/430

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 528/828, 3227/430?

Answer: GCF of Numerators as per given numbers 528/828, 3227/430 is

GCF of Numerators i.e. for 528,3227 is 1

LCM of denominators i.e. for 828,430 is 178020.

Thus, GCF of Fractions is 1/178020.Finally, GCF of Fractions for 528/828, 3227/430 is 1/178020.