Greatest Common Factor of 697/101, 707/960, 106/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 697/101, 707/960, 106/161

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 697/101,707/960,106/161

Given fractions are 697/101,707/960,106/161

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 697,707,106

Greatest Common Factor of Numerators i.e. GCF of 697,707,106 is 1 .

LCM of Denominators means LCM of 101,960,161 as per the given fractions.

LCM of 101,960,161 is 15610560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 697,707,106

GCF of Fractions 697/101,707/960,106/161 is 1/15610560

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

Greatest Common Factor of 697,707,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,707,106 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 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 697,707,106 . The biggest common factor number is the GCF number.
So the greatest common factor 697,707,106 is 1.

Lets's calculate LCM of 101,960,161

Given numbers has no common factors except 1. So, there LCM is their product i.e 15610560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15610560

Therefore, the GCF of Fractions 697/101,707/960,106/161 is 1/15610560

Least Common Multiple of 101,960,161 with GCF Formula

Least Common Multiple of 101,960,161 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 101,960,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,960,161) = 1

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

GCF(101,960,161) x common factors =1 x 1 = 1

LCM(101,960,161) = ( 101 × 960 × 161 ) / 1

LCM(101,960,161) = 15610560 / 1

LCM(101,960,161) = 15610560


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 697/101, 707/960, 106/161

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 697/101, 707/960, 106/161?

Answer: GCF of Numerators as per given numbers 697/101, 707/960, 106/161 is

GCF of Numerators i.e. for 697,707,106 is 1

LCM of denominators i.e. for 101,960,161 is 15610560.

Thus, GCF of Fractions is 1/15610560.Finally, GCF of Fractions for 697/101, 707/960, 106/161 is 1/15610560.