Greatest Common Factor of 83/19, 31/897, 706/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/19, 31/897, 706/414

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 83/19,31/897,706/414

Given fractions are 83/19,31/897,706/414

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 83,31,706

Greatest Common Factor of Numerators i.e. GCF of 83,31,706 is 1 .

LCM of Denominators means LCM of 19,897,414 as per the given fractions.

LCM of 19,897,414 is 102258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,31,706

GCF of Fractions 83/19,31/897,706/414 is 1/102258

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

Greatest Common Factor of 83,31,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,31,706 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 83,31,706 . The biggest common factor number is the GCF number.
So the greatest common factor 83,31,706 is 1.

Lets's calculate LCM of 19,897,414

3 19, 897, 414
23 19, 299, 138
19, 13, 6

∴ So the LCM of the given numbers is 3 x 23 x 19 x 13 x 6 = 102258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102258

Therefore, the GCF of Fractions 83/19,31/897,706/414 is 1/102258

Least Common Multiple of 19,897,414 with GCF Formula

Least Common Multiple of 19,897,414 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 19,897,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,897,414) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(19,897,414) x common factors =1 x 69 = 69

LCM(19,897,414) = ( 19 × 897 × 414 ) / 69

LCM(19,897,414) = 7055802 / 69

LCM(19,897,414) = 102258


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 83/19, 31/897, 706/414

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 83/19, 31/897, 706/414?

Answer: GCF of Numerators as per given numbers 83/19, 31/897, 706/414 is

GCF of Numerators i.e. for 83,31,706 is 1

LCM of denominators i.e. for 19,897,414 is 102258.

Thus, GCF of Fractions is 1/102258.Finally, GCF of Fractions for 83/19, 31/897, 706/414 is 1/102258.