Greatest Common Factor of 408/51, 510/14, 897/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/51, 510/14, 897/712

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 408/51,510/14,897/712

Given fractions are 408/51,510/14,897/712

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 408,510,897

Greatest Common Factor of Numerators i.e. GCF of 408,510,897 is 3 .

LCM of Denominators means LCM of 51,14,712 as per the given fractions.

LCM of 51,14,712 is 254184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,510,897

GCF of Fractions 408/51,510/14,897/712 is 3/254184

3 408, 510, 897
136, 170, 299

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 408,510,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,510,897 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

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 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 408,510,897 . The biggest common factor number is the GCF number.
So the greatest common factor 408,510,897 is 3.

Lets's calculate LCM of 51,14,712

2 51, 14, 712
51, 7, 356

∴ So the LCM of the given numbers is 2 x 51 x 7 x 356 = 254184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/254184

Therefore, the GCF of Fractions 408/51,510/14,897/712 is 3/254184

Least Common Multiple of 51,14,712 with GCF Formula

Least Common Multiple of 51,14,712 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 51,14,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,14,712) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(51,14,712) x common factors =1 x 2 = 2

LCM(51,14,712) = ( 51 × 14 × 712 ) / 2

LCM(51,14,712) = 508368 / 2

LCM(51,14,712) = 254184


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 408/51, 510/14, 897/712

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 408/51, 510/14, 897/712?

Answer: GCF of Numerators as per given numbers 408/51, 510/14, 897/712 is

GCF of Numerators i.e. for 408,510,897 is 3

LCM of denominators i.e. for 51,14,712 is 254184.

Thus, GCF of Fractions is 3/254184.Finally, GCF of Fractions for 408/51, 510/14, 897/712 is 3/254184.