Greatest Common Factor of 453/163, 980/820, 828/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 453/163, 980/820, 828/106

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 453/163,980/820,828/106

Given fractions are 453/163,980/820,828/106

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 453,980,828

Greatest Common Factor of Numerators i.e. GCF of 453,980,828 is 1 .

LCM of Denominators means LCM of 163,820,106 as per the given fractions.

LCM of 163,820,106 is 7083980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 453,980,828

GCF of Fractions 453/163,980/820,828/106 is 1/7083980

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

Greatest Common Factor of 453,980,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,980,828 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

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 453,980,828 . The biggest common factor number is the GCF number.
So the greatest common factor 453,980,828 is 1.

Lets's calculate LCM of 163,820,106

2 163, 820, 106
163, 410, 53

∴ So the LCM of the given numbers is 2 x 163 x 410 x 53 = 7083980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7083980

Therefore, the GCF of Fractions 453/163,980/820,828/106 is 1/7083980

Least Common Multiple of 163,820,106 with GCF Formula

Least Common Multiple of 163,820,106 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 163,820,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,820,106) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(163,820,106) x common factors =1 x 2 = 2

LCM(163,820,106) = ( 163 × 820 × 106 ) / 2

LCM(163,820,106) = 14167960 / 2

LCM(163,820,106) = 7083980


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 453/163, 980/820, 828/106

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 453/163, 980/820, 828/106?

Answer: GCF of Numerators as per given numbers 453/163, 980/820, 828/106 is

GCF of Numerators i.e. for 453,980,828 is 1

LCM of denominators i.e. for 163,820,106 is 7083980.

Thus, GCF of Fractions is 1/7083980.Finally, GCF of Fractions for 453/163, 980/820, 828/106 is 1/7083980.