Greatest Common Factor of 3414/36, 8240/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3414/36, 8240/506

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 3414/36,8240/506

Given fractions are 3414/36,8240/506

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 3414,8240

Greatest Common Factor of Numerators i.e. GCF of 3414,8240 is 2 .

LCM of Denominators means LCM of 36,506 as per the given fractions.

LCM of 36,506 is 9108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3414,8240

GCF of Fractions 3414/36,8240/506 is 2/9108

2 3414, 8240
1707, 4120

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

Greatest Common Factor of 3414,8240 By Matching Biggest Common Factor Method

Greatest Common Factor of 3414,8240 By Matching Biggest Common Factor Method

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1,2,3,6,569,1138,1707,3414

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240

Greatest Common Factor

We found the factors 3414,8240 . The biggest common factor number is the GCF number.
So the greatest common factor 3414,8240 is 2.

Lets's calculate LCM of 36,506

2 36, 506
18, 253

∴ So the LCM of the given numbers is 2 x 18 x 253 = 9108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9108

Therefore, the GCF of Fractions 3414/36,8240/506 is 2/9108

Least Common Multiple of 36,506 with GCF Formula

Least Common Multiple of 36,506 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 36,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,506) = 2

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

GCF(36,506) x common factors =2 x 1 = 2

LCM(36,506) = ( 36 × 506 ) / 2

LCM(36,506) = 18216 / 2

LCM(36,506) = 9108


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 3414/36, 8240/506

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 3414/36, 8240/506?

Answer: GCF of Numerators as per given numbers 3414/36, 8240/506 is

GCF of Numerators i.e. for 3414,8240 is 2

LCM of denominators i.e. for 36,506 is 9108.

Thus, GCF of Fractions is 2/9108.Finally, GCF of Fractions for 3414/36, 8240/506 is 2/9108.