Greatest Common Factor of 160/21, 292/84, 814/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 160/21, 292/84, 814/466

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 160/21,292/84,814/466

Given fractions are 160/21,292/84,814/466

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 160,292,814

Greatest Common Factor of Numerators i.e. GCF of 160,292,814 is 2 .

LCM of Denominators means LCM of 21,84,466 as per the given fractions.

LCM of 21,84,466 is 19572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 160,292,814

GCF of Fractions 160/21,292/84,814/466 is 2/19572

2 160, 292, 814
80, 146, 407

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

Greatest Common Factor of 160,292,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,292,814 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 160,292,814 . The biggest common factor number is the GCF number.
So the greatest common factor 160,292,814 is 2.

Lets's calculate LCM of 21,84,466

2 21, 84, 466
3 21, 42, 233
7 7, 14, 233
1, 2, 233

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 2 x 233 = 19572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19572

Therefore, the GCF of Fractions 160/21,292/84,814/466 is 2/19572

Least Common Multiple of 21,84,466 with GCF Formula

Least Common Multiple of 21,84,466 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 21,84,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,84,466) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(21,84,466) x common factors =1 x 42 = 42

LCM(21,84,466) = ( 21 × 84 × 466 ) / 42

LCM(21,84,466) = 822024 / 42

LCM(21,84,466) = 19572


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 160/21, 292/84, 814/466

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 160/21, 292/84, 814/466?

Answer: GCF of Numerators as per given numbers 160/21, 292/84, 814/466 is

GCF of Numerators i.e. for 160,292,814 is 2

LCM of denominators i.e. for 21,84,466 is 19572.

Thus, GCF of Fractions is 2/19572.Finally, GCF of Fractions for 160/21, 292/84, 814/466 is 2/19572.