Greatest Common Factor of 6328/923, 9830/6915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6328/923, 9830/6915

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 6328/923,9830/6915

Given fractions are 6328/923,9830/6915

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 6328,9830

Greatest Common Factor of Numerators i.e. GCF of 6328,9830 is 2 .

LCM of Denominators means LCM of 923,6915 as per the given fractions.

LCM of 923,6915 is 6382545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6328,9830

GCF of Fractions 6328/923,9830/6915 is 2/6382545

2 6328, 9830
3164, 4915

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6328,9830 By Matching Biggest Common Factor Method

Greatest Common Factor of 6328,9830 By Matching Biggest Common Factor Method

Factors of 6328

List of positive integer factors of 6328 that divides 6328 without a remainder.

1,2,4,7,8,14,28,56,113,226,452,791,904,1582,3164,6328

Factors of 9830

List of positive integer factors of 9830 that divides 9830 without a remainder.

1,2,5,10,983,1966,4915,9830

Greatest Common Factor

We found the factors 6328,9830 . The biggest common factor number is the GCF number.
So the greatest common factor 6328,9830 is 2.

Lets's calculate LCM of 923,6915

Given numbers has no common factors except 1. So, there LCM is their product i.e 6382545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6382545

Therefore, the GCF of Fractions 6328/923,9830/6915 is 2/6382545

Least Common Multiple of 923,6915 with GCF Formula

Least Common Multiple of 923,6915 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 923,6915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,6915) = 1

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

GCF(923,6915) x common factors =1 x 1 = 1

LCM(923,6915) = ( 923 × 6915 ) / 1

LCM(923,6915) = 6382545 / 1

LCM(923,6915) = 6382545


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 6328/923, 9830/6915

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 6328/923, 9830/6915?

Answer: GCF of Numerators as per given numbers 6328/923, 9830/6915 is

GCF of Numerators i.e. for 6328,9830 is 2

LCM of denominators i.e. for 923,6915 is 6382545.

Thus, GCF of Fractions is 2/6382545.Finally, GCF of Fractions for 6328/923, 9830/6915 is 2/6382545.