Greatest Common Factor of 1690/101, 6823/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1690/101, 6823/678

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 1690/101,6823/678

Given fractions are 1690/101,6823/678

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 1690,6823

Greatest Common Factor of Numerators i.e. GCF of 1690,6823 is 1 .

LCM of Denominators means LCM of 101,678 as per the given fractions.

LCM of 101,678 is 68478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1690,6823

GCF of Fractions 1690/101,6823/678 is 1/68478

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

Greatest Common Factor of 1690,6823 By Matching Biggest Common Factor Method

Greatest Common Factor of 1690,6823 By Matching Biggest Common Factor Method

Factors of 1690

List of positive integer factors of 1690 that divides 1690 without a remainder.

1,2,5,10,13,26,65,130,169,338,845,1690

Factors of 6823

List of positive integer factors of 6823 that divides 6823 without a remainder.

1,6823

Greatest Common Factor

We found the factors 1690,6823 . The biggest common factor number is the GCF number.
So the greatest common factor 1690,6823 is 1.

Lets's calculate LCM of 101,678

Given numbers has no common factors except 1. So, there LCM is their product i.e 68478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68478

Therefore, the GCF of Fractions 1690/101,6823/678 is 1/68478

Least Common Multiple of 101,678 with GCF Formula

Least Common Multiple of 101,678 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 101,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,678) = 1

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

GCF(101,678) x common factors =1 x 1 = 1

LCM(101,678) = ( 101 × 678 ) / 1

LCM(101,678) = 68478 / 1

LCM(101,678) = 68478


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 1690/101, 6823/678

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 1690/101, 6823/678?

Answer: GCF of Numerators as per given numbers 1690/101, 6823/678 is

GCF of Numerators i.e. for 1690,6823 is 1

LCM of denominators i.e. for 101,678 is 68478.

Thus, GCF of Fractions is 1/68478.Finally, GCF of Fractions for 1690/101, 6823/678 is 1/68478.