Greatest Common Factor of 828/688, 506/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/688, 506/522

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 828/688,506/522

Given fractions are 828/688,506/522

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 828,506

Greatest Common Factor of Numerators i.e. GCF of 828,506 is 46 .

LCM of Denominators means LCM of 688,522 as per the given fractions.

LCM of 688,522 is 179568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,506

GCF of Fractions 828/688,506/522 is 46/179568

2 828, 506
23 414, 253
18, 11

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 828,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,506 By Matching Biggest Common Factor Method

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

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 828,506 . The biggest common factor number is the GCF number.
So the greatest common factor 828,506 is 46.

Lets's calculate LCM of 688,522

2 688, 522
344, 261

∴ So the LCM of the given numbers is 2 x 344 x 261 = 179568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/179568

Therefore, the GCF of Fractions 828/688,506/522 is 46/179568

Least Common Multiple of 688,522 with GCF Formula

Least Common Multiple of 688,522 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 688,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,522) = 2

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

GCF(688,522) x common factors =2 x 1 = 2

LCM(688,522) = ( 688 × 522 ) / 2

LCM(688,522) = 359136 / 2

LCM(688,522) = 179568


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 828/688, 506/522

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 828/688, 506/522?

Answer: GCF of Numerators as per given numbers 828/688, 506/522 is

GCF of Numerators i.e. for 828,506 is 46

LCM of denominators i.e. for 688,522 is 179568.

Thus, GCF of Fractions is 46/179568.Finally, GCF of Fractions for 828/688, 506/522 is 46/179568.