Greatest Common Factor of 1845/803, 1648/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1845/803, 1648/677

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 1845/803,1648/677

Given fractions are 1845/803,1648/677

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 1845,1648

Greatest Common Factor of Numerators i.e. GCF of 1845,1648 is 1 .

LCM of Denominators means LCM of 803,677 as per the given fractions.

LCM of 803,677 is 543631 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1845,1648

GCF of Fractions 1845/803,1648/677 is 1/543631

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

Greatest Common Factor of 1845,1648 By Matching Biggest Common Factor Method

Greatest Common Factor of 1845,1648 By Matching Biggest Common Factor Method

Factors of 1845

List of positive integer factors of 1845 that divides 1845 without a remainder.

1,3,5,9,15,41,45,123,205,369,615,1845

Factors of 1648

List of positive integer factors of 1648 that divides 1648 without a remainder.

1,2,4,8,16,103,206,412,824,1648

Greatest Common Factor

We found the factors 1845,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 1845,1648 is 1.

Lets's calculate LCM of 803,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 543631

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543631

Therefore, the GCF of Fractions 1845/803,1648/677 is 1/543631

Least Common Multiple of 803,677 with GCF Formula

Least Common Multiple of 803,677 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 803,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,677) = 1

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

GCF(803,677) x common factors =1 x 1 = 1

LCM(803,677) = ( 803 × 677 ) / 1

LCM(803,677) = 543631 / 1

LCM(803,677) = 543631


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 1845/803, 1648/677

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 1845/803, 1648/677?

Answer: GCF of Numerators as per given numbers 1845/803, 1648/677 is

GCF of Numerators i.e. for 1845,1648 is 1

LCM of denominators i.e. for 803,677 is 543631.

Thus, GCF of Fractions is 1/543631.Finally, GCF of Fractions for 1845/803, 1648/677 is 1/543631.