Greatest Common Factor of 6162/285, 1777/1095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6162/285, 1777/1095

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 6162/285,1777/1095

Given fractions are 6162/285,1777/1095

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 6162,1777

Greatest Common Factor of Numerators i.e. GCF of 6162,1777 is 1 .

LCM of Denominators means LCM of 285,1095 as per the given fractions.

LCM of 285,1095 is 20805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6162,1777

GCF of Fractions 6162/285,1777/1095 is 1/20805

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

Greatest Common Factor of 6162,1777 By Matching Biggest Common Factor Method

Greatest Common Factor of 6162,1777 By Matching Biggest Common Factor Method

Factors of 6162

List of positive integer factors of 6162 that divides 6162 without a remainder.

1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162

Factors of 1777

List of positive integer factors of 1777 that divides 1777 without a remainder.

1,1777

Greatest Common Factor

We found the factors 6162,1777 . The biggest common factor number is the GCF number.
So the greatest common factor 6162,1777 is 1.

Lets's calculate LCM of 285,1095

3 285, 1095
5 95, 365
19, 73

∴ So the LCM of the given numbers is 3 x 5 x 19 x 73 = 20805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20805

Therefore, the GCF of Fractions 6162/285,1777/1095 is 1/20805

Least Common Multiple of 285,1095 with GCF Formula

Least Common Multiple of 285,1095 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 285,1095 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,1095) = 15

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

GCF(285,1095) x common factors =15 x 1 = 15

LCM(285,1095) = ( 285 × 1095 ) / 15

LCM(285,1095) = 312075 / 15

LCM(285,1095) = 20805


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 6162/285, 1777/1095

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 6162/285, 1777/1095?

Answer: GCF of Numerators as per given numbers 6162/285, 1777/1095 is

GCF of Numerators i.e. for 6162,1777 is 1

LCM of denominators i.e. for 285,1095 is 20805.

Thus, GCF of Fractions is 1/20805.Finally, GCF of Fractions for 6162/285, 1777/1095 is 1/20805.