Greatest Common Factor of 1232/967, 8328/2975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1232/967, 8328/2975

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 1232/967,8328/2975

Given fractions are 1232/967,8328/2975

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 1232,8328

Greatest Common Factor of Numerators i.e. GCF of 1232,8328 is 8 .

LCM of Denominators means LCM of 967,2975 as per the given fractions.

LCM of 967,2975 is 2876825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1232,8328

GCF of Fractions 1232/967,8328/2975 is 8/2876825

2 1232, 8328
2 616, 4164
2 308, 2082
154, 1041

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1232,8328 By Matching Biggest Common Factor Method

Greatest Common Factor of 1232,8328 By Matching Biggest Common Factor Method

Factors of 1232

List of positive integer factors of 1232 that divides 1232 without a remainder.

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

Factors of 8328

List of positive integer factors of 8328 that divides 8328 without a remainder.

1,2,3,4,6,8,12,24,347,694,1041,1388,2082,2776,4164,8328

Greatest Common Factor

We found the factors 1232,8328 . The biggest common factor number is the GCF number.
So the greatest common factor 1232,8328 is 8.

Lets's calculate LCM of 967,2975

Given numbers has no common factors except 1. So, there LCM is their product i.e 2876825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2876825

Therefore, the GCF of Fractions 1232/967,8328/2975 is 8/2876825

Least Common Multiple of 967,2975 with GCF Formula

Least Common Multiple of 967,2975 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 967,2975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,2975) = 1

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

GCF(967,2975) x common factors =1 x 1 = 1

LCM(967,2975) = ( 967 × 2975 ) / 1

LCM(967,2975) = 2876825 / 1

LCM(967,2975) = 2876825


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 1232/967, 8328/2975

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 1232/967, 8328/2975?

Answer: GCF of Numerators as per given numbers 1232/967, 8328/2975 is

GCF of Numerators i.e. for 1232,8328 is 8

LCM of denominators i.e. for 967,2975 is 2876825.

Thus, GCF of Fractions is 8/2876825.Finally, GCF of Fractions for 1232/967, 8328/2975 is 8/2876825.