Greatest Common Factor of 8068/700, 1260/2466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8068/700, 1260/2466

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 8068/700,1260/2466

Given fractions are 8068/700,1260/2466

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 8068,1260

Greatest Common Factor of Numerators i.e. GCF of 8068,1260 is 4 .

LCM of Denominators means LCM of 700,2466 as per the given fractions.

LCM of 700,2466 is 863100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8068,1260

GCF of Fractions 8068/700,1260/2466 is 4/863100

2 8068, 1260
2 4034, 630
2017, 315

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8068,1260 By Matching Biggest Common Factor Method

Greatest Common Factor of 8068,1260 By Matching Biggest Common Factor Method

Factors of 8068

List of positive integer factors of 8068 that divides 8068 without a remainder.

1,2,4,2017,4034,8068

Factors of 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260

Greatest Common Factor

We found the factors 8068,1260 . The biggest common factor number is the GCF number.
So the greatest common factor 8068,1260 is 4.

Lets's calculate LCM of 700,2466

2 700, 2466
350, 1233

∴ So the LCM of the given numbers is 2 x 350 x 1233 = 863100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/863100

Therefore, the GCF of Fractions 8068/700,1260/2466 is 4/863100

Least Common Multiple of 700,2466 with GCF Formula

Least Common Multiple of 700,2466 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 700,2466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,2466) = 2

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

GCF(700,2466) x common factors =2 x 1 = 2

LCM(700,2466) = ( 700 × 2466 ) / 2

LCM(700,2466) = 1726200 / 2

LCM(700,2466) = 863100


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 8068/700, 1260/2466

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 8068/700, 1260/2466?

Answer: GCF of Numerators as per given numbers 8068/700, 1260/2466 is

GCF of Numerators i.e. for 8068,1260 is 4

LCM of denominators i.e. for 700,2466 is 863100.

Thus, GCF of Fractions is 4/863100.Finally, GCF of Fractions for 8068/700, 1260/2466 is 4/863100.