Greatest Common Factor of 429/904, 5230/6400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 429/904, 5230/6400

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 429/904,5230/6400

Given fractions are 429/904,5230/6400

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 429,5230

Greatest Common Factor of Numerators i.e. GCF of 429,5230 is 1 .

LCM of Denominators means LCM of 904,6400 as per the given fractions.

LCM of 904,6400 is 723200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 429,5230

GCF of Fractions 429/904,5230/6400 is 1/723200

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

Greatest Common Factor of 429,5230 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,5230 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 5230

List of positive integer factors of 5230 that divides 5230 without a remainder.

1,2,5,10,523,1046,2615,5230

Greatest Common Factor

We found the factors 429,5230 . The biggest common factor number is the GCF number.
So the greatest common factor 429,5230 is 1.

Lets's calculate LCM of 904,6400

2 904, 6400
2 452, 3200
2 226, 1600
113, 800

∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 800 = 723200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/723200

Therefore, the GCF of Fractions 429/904,5230/6400 is 1/723200

Least Common Multiple of 904,6400 with GCF Formula

Least Common Multiple of 904,6400 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 904,6400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,6400) = 8

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

GCF(904,6400) x common factors =8 x 1 = 8

LCM(904,6400) = ( 904 × 6400 ) / 8

LCM(904,6400) = 5785600 / 8

LCM(904,6400) = 723200


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 429/904, 5230/6400

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 429/904, 5230/6400?

Answer: GCF of Numerators as per given numbers 429/904, 5230/6400 is

GCF of Numerators i.e. for 429,5230 is 1

LCM of denominators i.e. for 904,6400 is 723200.

Thus, GCF of Fractions is 1/723200.Finally, GCF of Fractions for 429/904, 5230/6400 is 1/723200.