Greatest Common Factor of 6330/814, 8898/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6330/814, 8898/625

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 6330/814,8898/625

Given fractions are 6330/814,8898/625

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 6330,8898

Greatest Common Factor of Numerators i.e. GCF of 6330,8898 is 6 .

LCM of Denominators means LCM of 814,625 as per the given fractions.

LCM of 814,625 is 508750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6330,8898

GCF of Fractions 6330/814,8898/625 is 6/508750

2 6330, 8898
3 3165, 4449
1055, 1483

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6330,8898 By Matching Biggest Common Factor Method

Greatest Common Factor of 6330,8898 By Matching Biggest Common Factor Method

Factors of 6330

List of positive integer factors of 6330 that divides 6330 without a remainder.

1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330

Factors of 8898

List of positive integer factors of 8898 that divides 8898 without a remainder.

1,2,3,6,1483,2966,4449,8898

Greatest Common Factor

We found the factors 6330,8898 . The biggest common factor number is the GCF number.
So the greatest common factor 6330,8898 is 6.

Lets's calculate LCM of 814,625

Given numbers has no common factors except 1. So, there LCM is their product i.e 508750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/508750

Therefore, the GCF of Fractions 6330/814,8898/625 is 6/508750

Least Common Multiple of 814,625 with GCF Formula

Least Common Multiple of 814,625 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 814,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,625) = 1

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

GCF(814,625) x common factors =1 x 1 = 1

LCM(814,625) = ( 814 × 625 ) / 1

LCM(814,625) = 508750 / 1

LCM(814,625) = 508750


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 6330/814, 8898/625

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 6330/814, 8898/625?

Answer: GCF of Numerators as per given numbers 6330/814, 8898/625 is

GCF of Numerators i.e. for 6330,8898 is 6

LCM of denominators i.e. for 814,625 is 508750.

Thus, GCF of Fractions is 6/508750.Finally, GCF of Fractions for 6330/814, 8898/625 is 6/508750.