Greatest Common Factor of 690/680, 319/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/680, 319/608

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 690/680,319/608

Given fractions are 690/680,319/608

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 690,319

Greatest Common Factor of Numerators i.e. GCF of 690,319 is 1 .

LCM of Denominators means LCM of 680,608 as per the given fractions.

LCM of 680,608 is 51680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,319

GCF of Fractions 690/680,319/608 is 1/51680

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

Greatest Common Factor of 690,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,319 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 690,319 . The biggest common factor number is the GCF number.
So the greatest common factor 690,319 is 1.

Lets's calculate LCM of 680,608

2 680, 608
2 340, 304
2 170, 152
85, 76

∴ So the LCM of the given numbers is 2 x 2 x 2 x 85 x 76 = 51680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51680

Therefore, the GCF of Fractions 690/680,319/608 is 1/51680

Least Common Multiple of 680,608 with GCF Formula

Least Common Multiple of 680,608 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 680,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,608) = 8

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

GCF(680,608) x common factors =8 x 1 = 8

LCM(680,608) = ( 680 × 608 ) / 8

LCM(680,608) = 413440 / 8

LCM(680,608) = 51680


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 690/680, 319/608

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 690/680, 319/608?

Answer: GCF of Numerators as per given numbers 690/680, 319/608 is

GCF of Numerators i.e. for 690,319 is 1

LCM of denominators i.e. for 680,608 is 51680.

Thus, GCF of Fractions is 1/51680.Finally, GCF of Fractions for 690/680, 319/608 is 1/51680.