Greatest Common Factor of 697/696, 4160/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 697/696, 4160/345

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 697/696,4160/345

Given fractions are 697/696,4160/345

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 697,4160

Greatest Common Factor of Numerators i.e. GCF of 697,4160 is 1 .

LCM of Denominators means LCM of 696,345 as per the given fractions.

LCM of 696,345 is 80040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 697,4160

GCF of Fractions 697/696,4160/345 is 1/80040

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

Greatest Common Factor of 697,4160 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,4160 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160

Greatest Common Factor

We found the factors 697,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 697,4160 is 1.

Lets's calculate LCM of 696,345

3 696, 345
232, 115

∴ So the LCM of the given numbers is 3 x 232 x 115 = 80040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80040

Therefore, the GCF of Fractions 697/696,4160/345 is 1/80040

Least Common Multiple of 696,345 with GCF Formula

Least Common Multiple of 696,345 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 696,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,345) = 3

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

GCF(696,345) x common factors =3 x 1 = 3

LCM(696,345) = ( 696 × 345 ) / 3

LCM(696,345) = 240120 / 3

LCM(696,345) = 80040


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 697/696, 4160/345

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 697/696, 4160/345?

Answer: GCF of Numerators as per given numbers 697/696, 4160/345 is

GCF of Numerators i.e. for 697,4160 is 1

LCM of denominators i.e. for 696,345 is 80040.

Thus, GCF of Fractions is 1/80040.Finally, GCF of Fractions for 697/696, 4160/345 is 1/80040.