Greatest Common Factor of 190/680, 1703/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 190/680, 1703/714

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 190/680,1703/714

Given fractions are 190/680,1703/714

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 190,1703

Greatest Common Factor of Numerators i.e. GCF of 190,1703 is 1 .

LCM of Denominators means LCM of 680,714 as per the given fractions.

LCM of 680,714 is 14280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 190,1703

GCF of Fractions 190/680,1703/714 is 1/14280

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

Greatest Common Factor of 190,1703 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,1703 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 1703

List of positive integer factors of 1703 that divides 1703 without a remainder.

1,13,131,1703

Greatest Common Factor

We found the factors 190,1703 . The biggest common factor number is the GCF number.
So the greatest common factor 190,1703 is 1.

Lets's calculate LCM of 680,714

2 680, 714
17 340, 357
20, 21

∴ So the LCM of the given numbers is 2 x 17 x 20 x 21 = 14280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14280

Therefore, the GCF of Fractions 190/680,1703/714 is 1/14280

Least Common Multiple of 680,714 with GCF Formula

Least Common Multiple of 680,714 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 680,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,714) = 34

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

GCF(680,714) x common factors =34 x 1 = 34

LCM(680,714) = ( 680 × 714 ) / 34

LCM(680,714) = 485520 / 34

LCM(680,714) = 14280


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 190/680, 1703/714

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 190/680, 1703/714?

Answer: GCF of Numerators as per given numbers 190/680, 1703/714 is

GCF of Numerators i.e. for 190,1703 is 1

LCM of denominators i.e. for 680,714 is 14280.

Thus, GCF of Fractions is 1/14280.Finally, GCF of Fractions for 190/680, 1703/714 is 1/14280.