Greatest Common Factor of 893/670, 9286/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 893/670, 9286/214

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 893/670,9286/214

Given fractions are 893/670,9286/214

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 893,9286

Greatest Common Factor of Numerators i.e. GCF of 893,9286 is 1 .

LCM of Denominators means LCM of 670,214 as per the given fractions.

LCM of 670,214 is 71690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 893,9286

GCF of Fractions 893/670,9286/214 is 1/71690

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

Greatest Common Factor of 893,9286 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,9286 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 9286

List of positive integer factors of 9286 that divides 9286 without a remainder.

1,2,4643,9286

Greatest Common Factor

We found the factors 893,9286 . The biggest common factor number is the GCF number.
So the greatest common factor 893,9286 is 1.

Lets's calculate LCM of 670,214

2 670, 214
335, 107

∴ So the LCM of the given numbers is 2 x 335 x 107 = 71690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71690

Therefore, the GCF of Fractions 893/670,9286/214 is 1/71690

Least Common Multiple of 670,214 with GCF Formula

Least Common Multiple of 670,214 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 670,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,214) = 2

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

GCF(670,214) x common factors =2 x 1 = 2

LCM(670,214) = ( 670 × 214 ) / 2

LCM(670,214) = 143380 / 2

LCM(670,214) = 71690


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 893/670, 9286/214

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 893/670, 9286/214?

Answer: GCF of Numerators as per given numbers 893/670, 9286/214 is

GCF of Numerators i.e. for 893,9286 is 1

LCM of denominators i.e. for 670,214 is 71690.

Thus, GCF of Fractions is 1/71690.Finally, GCF of Fractions for 893/670, 9286/214 is 1/71690.