Greatest Common Factor of 1714/61, 8214/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1714/61, 8214/234

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 1714/61,8214/234

Given fractions are 1714/61,8214/234

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 1714,8214

Greatest Common Factor of Numerators i.e. GCF of 1714,8214 is 2 .

LCM of Denominators means LCM of 61,234 as per the given fractions.

LCM of 61,234 is 14274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1714,8214

GCF of Fractions 1714/61,8214/234 is 2/14274

2 1714, 8214
857, 4107

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

Greatest Common Factor of 1714,8214 By Matching Biggest Common Factor Method

Greatest Common Factor of 1714,8214 By Matching Biggest Common Factor Method

Factors of 1714

List of positive integer factors of 1714 that divides 1714 without a remainder.

1,2,857,1714

Factors of 8214

List of positive integer factors of 8214 that divides 8214 without a remainder.

1,2,3,6,37,74,111,222,1369,2738,4107,8214

Greatest Common Factor

We found the factors 1714,8214 . The biggest common factor number is the GCF number.
So the greatest common factor 1714,8214 is 2.

Lets's calculate LCM of 61,234

Given numbers has no common factors except 1. So, there LCM is their product i.e 14274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14274

Therefore, the GCF of Fractions 1714/61,8214/234 is 2/14274

Least Common Multiple of 61,234 with GCF Formula

Least Common Multiple of 61,234 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 61,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,234) = 1

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

GCF(61,234) x common factors =1 x 1 = 1

LCM(61,234) = ( 61 × 234 ) / 1

LCM(61,234) = 14274 / 1

LCM(61,234) = 14274


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 1714/61, 8214/234

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 1714/61, 8214/234?

Answer: GCF of Numerators as per given numbers 1714/61, 8214/234 is

GCF of Numerators i.e. for 1714,8214 is 2

LCM of denominators i.e. for 61,234 is 14274.

Thus, GCF of Fractions is 2/14274.Finally, GCF of Fractions for 1714/61, 8214/234 is 2/14274.