Greatest Common Factor of 430/704, 4975/6176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/704, 4975/6176

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 430/704,4975/6176

Given fractions are 430/704,4975/6176

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 430,4975

Greatest Common Factor of Numerators i.e. GCF of 430,4975 is 5 .

LCM of Denominators means LCM of 704,6176 as per the given fractions.

LCM of 704,6176 is 135872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,4975

GCF of Fractions 430/704,4975/6176 is 5/135872

5 430, 4975
86, 995

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 430,4975 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,4975 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 4975

List of positive integer factors of 4975 that divides 4975 without a remainder.

1,5,25,199,995,4975

Greatest Common Factor

We found the factors 430,4975 . The biggest common factor number is the GCF number.
So the greatest common factor 430,4975 is 5.

Lets's calculate LCM of 704,6176

2 704, 6176
2 352, 3088
2 176, 1544
2 88, 772
2 44, 386
22, 193

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 22 x 193 = 135872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/135872

Therefore, the GCF of Fractions 430/704,4975/6176 is 5/135872

Least Common Multiple of 704,6176 with GCF Formula

Least Common Multiple of 704,6176 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 704,6176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,6176) = 32

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

GCF(704,6176) x common factors =32 x 1 = 32

LCM(704,6176) = ( 704 × 6176 ) / 32

LCM(704,6176) = 4347904 / 32

LCM(704,6176) = 135872


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 430/704, 4975/6176

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 430/704, 4975/6176?

Answer: GCF of Numerators as per given numbers 430/704, 4975/6176 is

GCF of Numerators i.e. for 430,4975 is 5

LCM of denominators i.e. for 704,6176 is 135872.

Thus, GCF of Fractions is 5/135872.Finally, GCF of Fractions for 430/704, 4975/6176 is 5/135872.