Greatest Common Factor of 3799/840, 4795/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3799/840, 4795/786

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 3799/840,4795/786

Given fractions are 3799/840,4795/786

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 3799,4795

Greatest Common Factor of Numerators i.e. GCF of 3799,4795 is 1 .

LCM of Denominators means LCM of 840,786 as per the given fractions.

LCM of 840,786 is 110040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3799,4795

GCF of Fractions 3799/840,4795/786 is 1/110040

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

Greatest Common Factor of 3799,4795 By Matching Biggest Common Factor Method

Greatest Common Factor of 3799,4795 By Matching Biggest Common Factor Method

Factors of 3799

List of positive integer factors of 3799 that divides 3799 without a remainder.

1,29,131,3799

Factors of 4795

List of positive integer factors of 4795 that divides 4795 without a remainder.

1,5,7,35,137,685,959,4795

Greatest Common Factor

We found the factors 3799,4795 . The biggest common factor number is the GCF number.
So the greatest common factor 3799,4795 is 1.

Lets's calculate LCM of 840,786

2 840, 786
3 420, 393
140, 131

∴ So the LCM of the given numbers is 2 x 3 x 140 x 131 = 110040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110040

Therefore, the GCF of Fractions 3799/840,4795/786 is 1/110040

Least Common Multiple of 840,786 with GCF Formula

Least Common Multiple of 840,786 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 840,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,786) = 6

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

GCF(840,786) x common factors =6 x 1 = 6

LCM(840,786) = ( 840 × 786 ) / 6

LCM(840,786) = 660240 / 6

LCM(840,786) = 110040


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 3799/840, 4795/786

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 3799/840, 4795/786?

Answer: GCF of Numerators as per given numbers 3799/840, 4795/786 is

GCF of Numerators i.e. for 3799,4795 is 1

LCM of denominators i.e. for 840,786 is 110040.

Thus, GCF of Fractions is 1/110040.Finally, GCF of Fractions for 3799/840, 4795/786 is 1/110040.