Greatest Common Factor of 7833/780, 1499/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7833/780, 1499/785

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 7833/780,1499/785

Given fractions are 7833/780,1499/785

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 7833,1499

Greatest Common Factor of Numerators i.e. GCF of 7833,1499 is 1 .

LCM of Denominators means LCM of 780,785 as per the given fractions.

LCM of 780,785 is 122460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7833,1499

GCF of Fractions 7833/780,1499/785 is 1/122460

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

Greatest Common Factor of 7833,1499 By Matching Biggest Common Factor Method

Greatest Common Factor of 7833,1499 By Matching Biggest Common Factor Method

Factors of 7833

List of positive integer factors of 7833 that divides 7833 without a remainder.

1,3,7,21,373,1119,2611,7833

Factors of 1499

List of positive integer factors of 1499 that divides 1499 without a remainder.

1,1499

Greatest Common Factor

We found the factors 7833,1499 . The biggest common factor number is the GCF number.
So the greatest common factor 7833,1499 is 1.

Lets's calculate LCM of 780,785

5 780, 785
156, 157

∴ So the LCM of the given numbers is 5 x 156 x 157 = 122460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122460

Therefore, the GCF of Fractions 7833/780,1499/785 is 1/122460

Least Common Multiple of 780,785 with GCF Formula

Least Common Multiple of 780,785 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 780,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,785) = 5

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

GCF(780,785) x common factors =5 x 1 = 5

LCM(780,785) = ( 780 × 785 ) / 5

LCM(780,785) = 612300 / 5

LCM(780,785) = 122460


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 7833/780, 1499/785

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 7833/780, 1499/785?

Answer: GCF of Numerators as per given numbers 7833/780, 1499/785 is

GCF of Numerators i.e. for 7833,1499 is 1

LCM of denominators i.e. for 780,785 is 122460.

Thus, GCF of Fractions is 1/122460.Finally, GCF of Fractions for 7833/780, 1499/785 is 1/122460.