Greatest Common Factor of 408/51, 510/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/51, 510/375

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 408/51,510/375

Given fractions are 408/51,510/375

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

Greatest Common Factor of Numerators i.e. GCF of 408,510 is 102 .

LCM of Denominators means LCM of 51,375 as per the given fractions.

LCM of 51,375 is 6375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,510

GCF of Fractions 408/51,510/375 is 102/6375

2 408, 510
3 204, 255
17 68, 85
4, 5

∴ So the GCF of the given numbers is 2 x 3 x 17 = 102

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

Greatest Common Factor of 408,510 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

Greatest Common Factor

We found the factors 408,510 . The biggest common factor number is the GCF number.
So the greatest common factor 408,510 is 102.

Lets's calculate LCM of 51,375

3 51, 375
17, 125

∴ So the LCM of the given numbers is 3 x 17 x 125 = 6375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 102/6375

Therefore, the GCF of Fractions 408/51,510/375 is 102/6375

Least Common Multiple of 51,375 with GCF Formula

Least Common Multiple of 51,375 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 51,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,375) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(51,375) x common factors =3 x 1 = 3

LCM(51,375) = ( 51 × 375 ) / 3

LCM(51,375) = 19125 / 3

LCM(51,375) = 6375


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 408/51, 510/375

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, 510/375?

Answer: GCF of Numerators as per given numbers 408/51, 510/375 is

GCF of Numerators i.e. for 408,510 is 102

LCM of denominators i.e. for 51,375 is 6375.

Thus, GCF of Fractions is 102/6375.Finally, GCF of Fractions for 408/51, 510/375 is 102/6375.