Greatest Common Factor of 7470/694, 2453/6862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7470/694, 2453/6862

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 7470/694,2453/6862

Given fractions are 7470/694,2453/6862

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 7470,2453

Greatest Common Factor of Numerators i.e. GCF of 7470,2453 is 1 .

LCM of Denominators means LCM of 694,6862 as per the given fractions.

LCM of 694,6862 is 2381114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7470,2453

GCF of Fractions 7470/694,2453/6862 is 1/2381114

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

Greatest Common Factor of 7470,2453 By Matching Biggest Common Factor Method

Greatest Common Factor of 7470,2453 By Matching Biggest Common Factor Method

Factors of 7470

List of positive integer factors of 7470 that divides 7470 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470

Factors of 2453

List of positive integer factors of 2453 that divides 2453 without a remainder.

1,11,223,2453

Greatest Common Factor

We found the factors 7470,2453 . The biggest common factor number is the GCF number.
So the greatest common factor 7470,2453 is 1.

Lets's calculate LCM of 694,6862

2 694, 6862
347, 3431

∴ So the LCM of the given numbers is 2 x 347 x 3431 = 2381114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2381114

Therefore, the GCF of Fractions 7470/694,2453/6862 is 1/2381114

Least Common Multiple of 694,6862 with GCF Formula

Least Common Multiple of 694,6862 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 694,6862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,6862) = 2

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

GCF(694,6862) x common factors =2 x 1 = 2

LCM(694,6862) = ( 694 × 6862 ) / 2

LCM(694,6862) = 4762228 / 2

LCM(694,6862) = 2381114


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 7470/694, 2453/6862

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 7470/694, 2453/6862?

Answer: GCF of Numerators as per given numbers 7470/694, 2453/6862 is

GCF of Numerators i.e. for 7470,2453 is 1

LCM of denominators i.e. for 694,6862 is 2381114.

Thus, GCF of Fractions is 1/2381114.Finally, GCF of Fractions for 7470/694, 2453/6862 is 1/2381114.