Greatest Common Factor of 488/821, 900/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 488/821, 900/428

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 488/821,900/428

Given fractions are 488/821,900/428

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 488,900

Greatest Common Factor of Numerators i.e. GCF of 488,900 is 4 .

LCM of Denominators means LCM of 821,428 as per the given fractions.

LCM of 821,428 is 351388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 488,900

GCF of Fractions 488/821,900/428 is 4/351388

2 488, 900
2 244, 450
122, 225

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

Greatest Common Factor of 488,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,900 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 488,900 . The biggest common factor number is the GCF number.
So the greatest common factor 488,900 is 4.

Lets's calculate LCM of 821,428

Given numbers has no common factors except 1. So, there LCM is their product i.e 351388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/351388

Therefore, the GCF of Fractions 488/821,900/428 is 4/351388

Least Common Multiple of 821,428 with GCF Formula

Least Common Multiple of 821,428 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 821,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,428) = 1

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

GCF(821,428) x common factors =1 x 1 = 1

LCM(821,428) = ( 821 × 428 ) / 1

LCM(821,428) = 351388 / 1

LCM(821,428) = 351388


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 488/821, 900/428

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 488/821, 900/428?

Answer: GCF of Numerators as per given numbers 488/821, 900/428 is

GCF of Numerators i.e. for 488,900 is 4

LCM of denominators i.e. for 821,428 is 351388.

Thus, GCF of Fractions is 4/351388.Finally, GCF of Fractions for 488/821, 900/428 is 4/351388.