Greatest Common Factor of 1762/791, 9819/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1762/791, 9819/450

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 1762/791,9819/450

Given fractions are 1762/791,9819/450

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 1762,9819

Greatest Common Factor of Numerators i.e. GCF of 1762,9819 is 1 .

LCM of Denominators means LCM of 791,450 as per the given fractions.

LCM of 791,450 is 355950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1762,9819

GCF of Fractions 1762/791,9819/450 is 1/355950

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

Greatest Common Factor of 1762,9819 By Matching Biggest Common Factor Method

Greatest Common Factor of 1762,9819 By Matching Biggest Common Factor Method

Factors of 1762

List of positive integer factors of 1762 that divides 1762 without a remainder.

1,2,881,1762

Factors of 9819

List of positive integer factors of 9819 that divides 9819 without a remainder.

1,3,9,1091,3273,9819

Greatest Common Factor

We found the factors 1762,9819 . The biggest common factor number is the GCF number.
So the greatest common factor 1762,9819 is 1.

Lets's calculate LCM of 791,450

Given numbers has no common factors except 1. So, there LCM is their product i.e 355950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355950

Therefore, the GCF of Fractions 1762/791,9819/450 is 1/355950

Least Common Multiple of 791,450 with GCF Formula

Least Common Multiple of 791,450 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 791,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,450) = 1

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

GCF(791,450) x common factors =1 x 1 = 1

LCM(791,450) = ( 791 × 450 ) / 1

LCM(791,450) = 355950 / 1

LCM(791,450) = 355950


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 1762/791, 9819/450

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 1762/791, 9819/450?

Answer: GCF of Numerators as per given numbers 1762/791, 9819/450 is

GCF of Numerators i.e. for 1762,9819 is 1

LCM of denominators i.e. for 791,450 is 355950.

Thus, GCF of Fractions is 1/355950.Finally, GCF of Fractions for 1762/791, 9819/450 is 1/355950.