Greatest Common Factor of 697/87, 574/59, 424/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 697/87, 574/59, 424/66

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 697/87,574/59,424/66

Given fractions are 697/87,574/59,424/66

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 697,574,424

Greatest Common Factor of Numerators i.e. GCF of 697,574,424 is 1 .

LCM of Denominators means LCM of 87,59,66 as per the given fractions.

LCM of 87,59,66 is 112926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 697,574,424

GCF of Fractions 697/87,574/59,424/66 is 1/112926

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

Greatest Common Factor of 697,574,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,574,424 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 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 697,574,424 . The biggest common factor number is the GCF number.
So the greatest common factor 697,574,424 is 1.

Lets's calculate LCM of 87,59,66

3 87, 59, 66
29, 59, 22

∴ So the LCM of the given numbers is 3 x 29 x 59 x 22 = 112926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112926

Therefore, the GCF of Fractions 697/87,574/59,424/66 is 1/112926

Least Common Multiple of 87,59,66 with GCF Formula

Least Common Multiple of 87,59,66 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 87,59,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,59,66) = 1

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

GCF(87,59,66) x common factors =1 x 3 = 3

LCM(87,59,66) = ( 87 × 59 × 66 ) / 3

LCM(87,59,66) = 338778 / 3

LCM(87,59,66) = 112926


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 697/87, 574/59, 424/66

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 697/87, 574/59, 424/66?

Answer: GCF of Numerators as per given numbers 697/87, 574/59, 424/66 is

GCF of Numerators i.e. for 697,574,424 is 1

LCM of denominators i.e. for 87,59,66 is 112926.

Thus, GCF of Fractions is 1/112926.Finally, GCF of Fractions for 697/87, 574/59, 424/66 is 1/112926.