Greatest Common Factor of 697/49, 272/40, 602/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 697/49, 272/40, 602/990

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 697/49,272/40,602/990

Given fractions are 697/49,272/40,602/990

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 697,272,602

Greatest Common Factor of Numerators i.e. GCF of 697,272,602 is 1 .

LCM of Denominators means LCM of 49,40,990 as per the given fractions.

LCM of 49,40,990 is 194040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 697,272,602

GCF of Fractions 697/49,272/40,602/990 is 1/194040

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

Greatest Common Factor of 697,272,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,272,602 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 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 697,272,602 . The biggest common factor number is the GCF number.
So the greatest common factor 697,272,602 is 1.

Lets's calculate LCM of 49,40,990

2 49, 40, 990
5 49, 20, 495
49, 4, 99

∴ So the LCM of the given numbers is 2 x 5 x 49 x 4 x 99 = 194040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194040

Therefore, the GCF of Fractions 697/49,272/40,602/990 is 1/194040

Least Common Multiple of 49,40,990 with GCF Formula

Least Common Multiple of 49,40,990 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 49,40,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,40,990) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(49,40,990) x common factors =1 x 10 = 10

LCM(49,40,990) = ( 49 × 40 × 990 ) / 10

LCM(49,40,990) = 1940400 / 10

LCM(49,40,990) = 194040


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 697/49, 272/40, 602/990

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 697/49, 272/40, 602/990?

Answer: GCF of Numerators as per given numbers 697/49, 272/40, 602/990 is

GCF of Numerators i.e. for 697,272,602 is 1

LCM of denominators i.e. for 49,40,990 is 194040.

Thus, GCF of Fractions is 1/194040.Finally, GCF of Fractions for 697/49, 272/40, 602/990 is 1/194040.