Greatest Common Factor of 692/690, 383/857, 838/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 692/690, 383/857, 838/693

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 692/690,383/857,838/693

Given fractions are 692/690,383/857,838/693

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 692,383,838

Greatest Common Factor of Numerators i.e. GCF of 692,383,838 is 1 .

LCM of Denominators means LCM of 690,857,693 as per the given fractions.

LCM of 690,857,693 is 136597230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 692,383,838

GCF of Fractions 692/690,383/857,838/693 is 1/136597230

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

Greatest Common Factor of 692,383,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,383,838 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 692,383,838 . The biggest common factor number is the GCF number.
So the greatest common factor 692,383,838 is 1.

Lets's calculate LCM of 690,857,693

3 690, 857, 693
230, 857, 231

∴ So the LCM of the given numbers is 3 x 230 x 857 x 231 = 136597230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136597230

Therefore, the GCF of Fractions 692/690,383/857,838/693 is 1/136597230

Least Common Multiple of 690,857,693 with GCF Formula

Least Common Multiple of 690,857,693 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 690,857,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,857,693) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(690,857,693) x common factors =1 x 3 = 3

LCM(690,857,693) = ( 690 × 857 × 693 ) / 3

LCM(690,857,693) = 409791690 / 3

LCM(690,857,693) = 136597230


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 692/690, 383/857, 838/693

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 692/690, 383/857, 838/693?

Answer: GCF of Numerators as per given numbers 692/690, 383/857, 838/693 is

GCF of Numerators i.e. for 692,383,838 is 1

LCM of denominators i.e. for 690,857,693 is 136597230.

Thus, GCF of Fractions is 1/136597230.Finally, GCF of Fractions for 692/690, 383/857, 838/693 is 1/136597230.