Greatest Common Factor of 3418/786, 8149/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3418/786, 8149/570

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 3418/786,8149/570

Given fractions are 3418/786,8149/570

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 3418,8149

Greatest Common Factor of Numerators i.e. GCF of 3418,8149 is 1 .

LCM of Denominators means LCM of 786,570 as per the given fractions.

LCM of 786,570 is 74670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3418,8149

GCF of Fractions 3418/786,8149/570 is 1/74670

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

Greatest Common Factor of 3418,8149 By Matching Biggest Common Factor Method

Greatest Common Factor of 3418,8149 By Matching Biggest Common Factor Method

Factors of 3418

List of positive integer factors of 3418 that divides 3418 without a remainder.

1,2,1709,3418

Factors of 8149

List of positive integer factors of 8149 that divides 8149 without a remainder.

1,29,281,8149

Greatest Common Factor

We found the factors 3418,8149 . The biggest common factor number is the GCF number.
So the greatest common factor 3418,8149 is 1.

Lets's calculate LCM of 786,570

2 786, 570
3 393, 285
131, 95

∴ So the LCM of the given numbers is 2 x 3 x 131 x 95 = 74670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74670

Therefore, the GCF of Fractions 3418/786,8149/570 is 1/74670

Least Common Multiple of 786,570 with GCF Formula

Least Common Multiple of 786,570 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 786,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,570) = 6

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

GCF(786,570) x common factors =6 x 1 = 6

LCM(786,570) = ( 786 × 570 ) / 6

LCM(786,570) = 448020 / 6

LCM(786,570) = 74670


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 3418/786, 8149/570

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 3418/786, 8149/570?

Answer: GCF of Numerators as per given numbers 3418/786, 8149/570 is

GCF of Numerators i.e. for 3418,8149 is 1

LCM of denominators i.e. for 786,570 is 74670.

Thus, GCF of Fractions is 1/74670.Finally, GCF of Fractions for 3418/786, 8149/570 is 1/74670.