Greatest Common Factor of 398/703, 510/138, 471/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 398/703, 510/138, 471/722

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 398/703,510/138,471/722

Given fractions are 398/703,510/138,471/722

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 398,510,471

Greatest Common Factor of Numerators i.e. GCF of 398,510,471 is 1 .

LCM of Denominators means LCM of 703,138,722 as per the given fractions.

LCM of 703,138,722 is 1843266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 398,510,471

GCF of Fractions 398/703,510/138,471/722 is 1/1843266

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

Greatest Common Factor of 398,510,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,510,471 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 398,510,471 . The biggest common factor number is the GCF number.
So the greatest common factor 398,510,471 is 1.

Lets's calculate LCM of 703,138,722

2 703, 138, 722
19 703, 69, 361
37, 69, 19

∴ So the LCM of the given numbers is 2 x 19 x 37 x 69 x 19 = 1843266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1843266

Therefore, the GCF of Fractions 398/703,510/138,471/722 is 1/1843266

Least Common Multiple of 703,138,722 with GCF Formula

Least Common Multiple of 703,138,722 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 703,138,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,138,722) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(703,138,722) x common factors =1 x 38 = 38

LCM(703,138,722) = ( 703 × 138 × 722 ) / 38

LCM(703,138,722) = 70044108 / 38

LCM(703,138,722) = 1843266


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 398/703, 510/138, 471/722

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 398/703, 510/138, 471/722?

Answer: GCF of Numerators as per given numbers 398/703, 510/138, 471/722 is

GCF of Numerators i.e. for 398,510,471 is 1

LCM of denominators i.e. for 703,138,722 is 1843266.

Thus, GCF of Fractions is 1/1843266.Finally, GCF of Fractions for 398/703, 510/138, 471/722 is 1/1843266.