Greatest Common Factor of 8568/429, 1569/1607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8568/429, 1569/1607

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 8568/429,1569/1607

Given fractions are 8568/429,1569/1607

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 8568,1569

Greatest Common Factor of Numerators i.e. GCF of 8568,1569 is 3 .

LCM of Denominators means LCM of 429,1607 as per the given fractions.

LCM of 429,1607 is 689403 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8568,1569

GCF of Fractions 8568/429,1569/1607 is 3/689403

3 8568, 1569
2856, 523

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

Greatest Common Factor of 8568,1569 By Matching Biggest Common Factor Method

Greatest Common Factor of 8568,1569 By Matching Biggest Common Factor Method

Factors of 8568

List of positive integer factors of 8568 that divides 8568 without a remainder.

1,2,3,4,6,7,8,9,12,14,17,18,21,24,28,34,36,42,51,56,63,68,72,84,102,119,126,136,153,168,204,238,252,306,357,408,476,504,612,714,952,1071,1224,1428,2142,2856,4284,8568

Factors of 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1,3,523,1569

Greatest Common Factor

We found the factors 8568,1569 . The biggest common factor number is the GCF number.
So the greatest common factor 8568,1569 is 3.

Lets's calculate LCM of 429,1607

Given numbers has no common factors except 1. So, there LCM is their product i.e 689403

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/689403

Therefore, the GCF of Fractions 8568/429,1569/1607 is 3/689403

Least Common Multiple of 429,1607 with GCF Formula

Least Common Multiple of 429,1607 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 429,1607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,1607) = 1

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

GCF(429,1607) x common factors =1 x 1 = 1

LCM(429,1607) = ( 429 × 1607 ) / 1

LCM(429,1607) = 689403 / 1

LCM(429,1607) = 689403


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 8568/429, 1569/1607

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 8568/429, 1569/1607?

Answer: GCF of Numerators as per given numbers 8568/429, 1569/1607 is

GCF of Numerators i.e. for 8568,1569 is 3

LCM of denominators i.e. for 429,1607 is 689403.

Thus, GCF of Fractions is 3/689403.Finally, GCF of Fractions for 8568/429, 1569/1607 is 3/689403.