Greatest Common Factor of 475/14, 697/69, 734/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/14, 697/69, 734/700

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 475/14,697/69,734/700

Given fractions are 475/14,697/69,734/700

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 475,697,734

Greatest Common Factor of Numerators i.e. GCF of 475,697,734 is 1 .

LCM of Denominators means LCM of 14,69,700 as per the given fractions.

LCM of 14,69,700 is 48300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,697,734

GCF of Fractions 475/14,697/69,734/700 is 1/48300

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

Greatest Common Factor of 475,697,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,697,734 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 697

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

1,17,41,697

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 475,697,734 . The biggest common factor number is the GCF number.
So the greatest common factor 475,697,734 is 1.

Lets's calculate LCM of 14,69,700

2 14, 69, 700
7 7, 69, 350
1, 69, 50

∴ So the LCM of the given numbers is 2 x 7 x 1 x 69 x 50 = 48300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48300

Therefore, the GCF of Fractions 475/14,697/69,734/700 is 1/48300

Least Common Multiple of 14,69,700 with GCF Formula

Least Common Multiple of 14,69,700 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 14,69,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,69,700) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,69,700) x common factors =1 x 14 = 14

LCM(14,69,700) = ( 14 × 69 × 700 ) / 14

LCM(14,69,700) = 676200 / 14

LCM(14,69,700) = 48300


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 475/14, 697/69, 734/700

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 475/14, 697/69, 734/700?

Answer: GCF of Numerators as per given numbers 475/14, 697/69, 734/700 is

GCF of Numerators i.e. for 475,697,734 is 1

LCM of denominators i.e. for 14,69,700 is 48300.

Thus, GCF of Fractions is 1/48300.Finally, GCF of Fractions for 475/14, 697/69, 734/700 is 1/48300.