Greatest Common Factor of 365/67, 1755/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/67, 1755/162

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 365/67,1755/162

Given fractions are 365/67,1755/162

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 365,1755

Greatest Common Factor of Numerators i.e. GCF of 365,1755 is 5 .

LCM of Denominators means LCM of 67,162 as per the given fractions.

LCM of 67,162 is 10854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,1755

GCF of Fractions 365/67,1755/162 is 5/10854

5 365, 1755
73, 351

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 365,1755 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,1755 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 1755

List of positive integer factors of 1755 that divides 1755 without a remainder.

1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755

Greatest Common Factor

We found the factors 365,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 365,1755 is 5.

Lets's calculate LCM of 67,162

Given numbers has no common factors except 1. So, there LCM is their product i.e 10854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/10854

Therefore, the GCF of Fractions 365/67,1755/162 is 5/10854

Least Common Multiple of 67,162 with GCF Formula

Least Common Multiple of 67,162 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 67,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,162) = 1

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

GCF(67,162) x common factors =1 x 1 = 1

LCM(67,162) = ( 67 × 162 ) / 1

LCM(67,162) = 10854 / 1

LCM(67,162) = 10854


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 365/67, 1755/162

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 365/67, 1755/162?

Answer: GCF of Numerators as per given numbers 365/67, 1755/162 is

GCF of Numerators i.e. for 365,1755 is 5

LCM of denominators i.e. for 67,162 is 10854.

Thus, GCF of Fractions is 5/10854.Finally, GCF of Fractions for 365/67, 1755/162 is 5/10854.