Greatest Common Factor of 668/282, 682/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 668/282, 682/319

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 668/282,682/319

Given fractions are 668/282,682/319

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 668,682

Greatest Common Factor of Numerators i.e. GCF of 668,682 is 2 .

LCM of Denominators means LCM of 282,319 as per the given fractions.

LCM of 282,319 is 89958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 668,682

GCF of Fractions 668/282,682/319 is 2/89958

2 668, 682
334, 341

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

Greatest Common Factor of 668,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,682 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 668,682 . The biggest common factor number is the GCF number.
So the greatest common factor 668,682 is 2.

Lets's calculate LCM of 282,319

Given numbers has no common factors except 1. So, there LCM is their product i.e 89958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89958

Therefore, the GCF of Fractions 668/282,682/319 is 2/89958

Least Common Multiple of 282,319 with GCF Formula

Least Common Multiple of 282,319 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 282,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,319) = 1

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

GCF(282,319) x common factors =1 x 1 = 1

LCM(282,319) = ( 282 × 319 ) / 1

LCM(282,319) = 89958 / 1

LCM(282,319) = 89958


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 668/282, 682/319

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 668/282, 682/319?

Answer: GCF of Numerators as per given numbers 668/282, 682/319 is

GCF of Numerators i.e. for 668,682 is 2

LCM of denominators i.e. for 282,319 is 89958.

Thus, GCF of Fractions is 2/89958.Finally, GCF of Fractions for 668/282, 682/319 is 2/89958.