Greatest Common Factor of 4834/35, 3718/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4834/35, 3718/718

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 4834/35,3718/718

Given fractions are 4834/35,3718/718

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 4834,3718

Greatest Common Factor of Numerators i.e. GCF of 4834,3718 is 2 .

LCM of Denominators means LCM of 35,718 as per the given fractions.

LCM of 35,718 is 25130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4834,3718

GCF of Fractions 4834/35,3718/718 is 2/25130

2 4834, 3718
2417, 1859

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4834,3718 By Matching Biggest Common Factor Method

Greatest Common Factor of 4834,3718 By Matching Biggest Common Factor Method

Factors of 4834

List of positive integer factors of 4834 that divides 4834 without a remainder.

1,2,2417,4834

Factors of 3718

List of positive integer factors of 3718 that divides 3718 without a remainder.

1,2,11,13,22,26,143,169,286,338,1859,3718

Greatest Common Factor

We found the factors 4834,3718 . The biggest common factor number is the GCF number.
So the greatest common factor 4834,3718 is 2.

Lets's calculate LCM of 35,718

Given numbers has no common factors except 1. So, there LCM is their product i.e 25130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25130

Therefore, the GCF of Fractions 4834/35,3718/718 is 2/25130

Least Common Multiple of 35,718 with GCF Formula

Least Common Multiple of 35,718 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 35,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,718) = 1

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

GCF(35,718) x common factors =1 x 1 = 1

LCM(35,718) = ( 35 × 718 ) / 1

LCM(35,718) = 25130 / 1

LCM(35,718) = 25130


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 4834/35, 3718/718

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 4834/35, 3718/718?

Answer: GCF of Numerators as per given numbers 4834/35, 3718/718 is

GCF of Numerators i.e. for 4834,3718 is 2

LCM of denominators i.e. for 35,718 is 25130.

Thus, GCF of Fractions is 2/25130.Finally, GCF of Fractions for 4834/35, 3718/718 is 2/25130.