Greatest Common Factor of 4269/51, 3484/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4269/51, 3484/105

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 4269/51,3484/105

Given fractions are 4269/51,3484/105

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 4269,3484

Greatest Common Factor of Numerators i.e. GCF of 4269,3484 is 1 .

LCM of Denominators means LCM of 51,105 as per the given fractions.

LCM of 51,105 is 1785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4269,3484

GCF of Fractions 4269/51,3484/105 is 1/1785

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

Greatest Common Factor of 4269,3484 By Matching Biggest Common Factor Method

Greatest Common Factor of 4269,3484 By Matching Biggest Common Factor Method

Factors of 4269

List of positive integer factors of 4269 that divides 4269 without a remainder.

1,3,1423,4269

Factors of 3484

List of positive integer factors of 3484 that divides 3484 without a remainder.

1,2,4,13,26,52,67,134,268,871,1742,3484

Greatest Common Factor

We found the factors 4269,3484 . The biggest common factor number is the GCF number.
So the greatest common factor 4269,3484 is 1.

Lets's calculate LCM of 51,105

3 51, 105
17, 35

∴ So the LCM of the given numbers is 3 x 17 x 35 = 1785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1785

Therefore, the GCF of Fractions 4269/51,3484/105 is 1/1785

Least Common Multiple of 51,105 with GCF Formula

Least Common Multiple of 51,105 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 51,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,105) = 3

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

GCF(51,105) x common factors =3 x 1 = 3

LCM(51,105) = ( 51 × 105 ) / 3

LCM(51,105) = 5355 / 3

LCM(51,105) = 1785


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 4269/51, 3484/105

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 4269/51, 3484/105?

Answer: GCF of Numerators as per given numbers 4269/51, 3484/105 is

GCF of Numerators i.e. for 4269,3484 is 1

LCM of denominators i.e. for 51,105 is 1785.

Thus, GCF of Fractions is 1/1785.Finally, GCF of Fractions for 4269/51, 3484/105 is 1/1785.