Greatest Common Factor of 352/70, 814/2226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 352/70, 814/2226

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 352/70,814/2226

Given fractions are 352/70,814/2226

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 352,814

Greatest Common Factor of Numerators i.e. GCF of 352,814 is 22 .

LCM of Denominators means LCM of 70,2226 as per the given fractions.

LCM of 70,2226 is 11130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 352,814

GCF of Fractions 352/70,814/2226 is 22/11130

2 352, 814
11 176, 407
16, 37

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 352,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,814 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

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 352,814 . The biggest common factor number is the GCF number.
So the greatest common factor 352,814 is 22.

Lets's calculate LCM of 70,2226

2 70, 2226
7 35, 1113
5, 159

∴ So the LCM of the given numbers is 2 x 7 x 5 x 159 = 11130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/11130

Therefore, the GCF of Fractions 352/70,814/2226 is 22/11130

Least Common Multiple of 70,2226 with GCF Formula

Least Common Multiple of 70,2226 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 70,2226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,2226) = 14

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

GCF(70,2226) x common factors =14 x 1 = 14

LCM(70,2226) = ( 70 × 2226 ) / 14

LCM(70,2226) = 155820 / 14

LCM(70,2226) = 11130


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 352/70, 814/2226

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 352/70, 814/2226?

Answer: GCF of Numerators as per given numbers 352/70, 814/2226 is

GCF of Numerators i.e. for 352,814 is 22

LCM of denominators i.e. for 70,2226 is 11130.

Thus, GCF of Fractions is 22/11130.Finally, GCF of Fractions for 352/70, 814/2226 is 22/11130.