Greatest Common Factor of 1155/41, 8358/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1155/41, 8358/674

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 1155/41,8358/674

Given fractions are 1155/41,8358/674

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 1155,8358

Greatest Common Factor of Numerators i.e. GCF of 1155,8358 is 21 .

LCM of Denominators means LCM of 41,674 as per the given fractions.

LCM of 41,674 is 27634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1155,8358

GCF of Fractions 1155/41,8358/674 is 21/27634

3 1155, 8358
7 385, 2786
55, 398

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 1155,8358 By Matching Biggest Common Factor Method

Greatest Common Factor of 1155,8358 By Matching Biggest Common Factor Method

Factors of 1155

List of positive integer factors of 1155 that divides 1155 without a remainder.

1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155

Factors of 8358

List of positive integer factors of 8358 that divides 8358 without a remainder.

1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358

Greatest Common Factor

We found the factors 1155,8358 . The biggest common factor number is the GCF number.
So the greatest common factor 1155,8358 is 21.

Lets's calculate LCM of 41,674

Given numbers has no common factors except 1. So, there LCM is their product i.e 27634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/27634

Therefore, the GCF of Fractions 1155/41,8358/674 is 21/27634

Least Common Multiple of 41,674 with GCF Formula

Least Common Multiple of 41,674 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 41,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,674) = 1

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

GCF(41,674) x common factors =1 x 1 = 1

LCM(41,674) = ( 41 × 674 ) / 1

LCM(41,674) = 27634 / 1

LCM(41,674) = 27634


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 1155/41, 8358/674

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 1155/41, 8358/674?

Answer: GCF of Numerators as per given numbers 1155/41, 8358/674 is

GCF of Numerators i.e. for 1155,8358 is 21

LCM of denominators i.e. for 41,674 is 27634.

Thus, GCF of Fractions is 21/27634.Finally, GCF of Fractions for 1155/41, 8358/674 is 21/27634.