Greatest Common Factor of 1141/427, 8448/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1141/427, 8448/382

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 1141/427,8448/382

Given fractions are 1141/427,8448/382

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 1141,8448

Greatest Common Factor of Numerators i.e. GCF of 1141,8448 is 1 .

LCM of Denominators means LCM of 427,382 as per the given fractions.

LCM of 427,382 is 163114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1141,8448

GCF of Fractions 1141/427,8448/382 is 1/163114

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

Greatest Common Factor of 1141,8448 By Matching Biggest Common Factor Method

Greatest Common Factor of 1141,8448 By Matching Biggest Common Factor Method

Factors of 1141

List of positive integer factors of 1141 that divides 1141 without a remainder.

1,7,163,1141

Factors of 8448

List of positive integer factors of 8448 that divides 8448 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448

Greatest Common Factor

We found the factors 1141,8448 . The biggest common factor number is the GCF number.
So the greatest common factor 1141,8448 is 1.

Lets's calculate LCM of 427,382

Given numbers has no common factors except 1. So, there LCM is their product i.e 163114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163114

Therefore, the GCF of Fractions 1141/427,8448/382 is 1/163114

Least Common Multiple of 427,382 with GCF Formula

Least Common Multiple of 427,382 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 427,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,382) = 1

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

GCF(427,382) x common factors =1 x 1 = 1

LCM(427,382) = ( 427 × 382 ) / 1

LCM(427,382) = 163114 / 1

LCM(427,382) = 163114


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 1141/427, 8448/382

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 1141/427, 8448/382?

Answer: GCF of Numerators as per given numbers 1141/427, 8448/382 is

GCF of Numerators i.e. for 1141,8448 is 1

LCM of denominators i.e. for 427,382 is 163114.

Thus, GCF of Fractions is 1/163114.Finally, GCF of Fractions for 1141/427, 8448/382 is 1/163114.