Greatest Common Factor of 3464/542, 3216/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3464/542, 3216/849

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 3464/542,3216/849

Given fractions are 3464/542,3216/849

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 3464,3216

Greatest Common Factor of Numerators i.e. GCF of 3464,3216 is 8 .

LCM of Denominators means LCM of 542,849 as per the given fractions.

LCM of 542,849 is 460158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3464,3216

GCF of Fractions 3464/542,3216/849 is 8/460158

2 3464, 3216
2 1732, 1608
2 866, 804
433, 402

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3464,3216 By Matching Biggest Common Factor Method

Greatest Common Factor of 3464,3216 By Matching Biggest Common Factor Method

Factors of 3464

List of positive integer factors of 3464 that divides 3464 without a remainder.

1,2,4,8,433,866,1732,3464

Factors of 3216

List of positive integer factors of 3216 that divides 3216 without a remainder.

1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216

Greatest Common Factor

We found the factors 3464,3216 . The biggest common factor number is the GCF number.
So the greatest common factor 3464,3216 is 8.

Lets's calculate LCM of 542,849

Given numbers has no common factors except 1. So, there LCM is their product i.e 460158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/460158

Therefore, the GCF of Fractions 3464/542,3216/849 is 8/460158

Least Common Multiple of 542,849 with GCF Formula

Least Common Multiple of 542,849 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 542,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,849) = 1

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

GCF(542,849) x common factors =1 x 1 = 1

LCM(542,849) = ( 542 × 849 ) / 1

LCM(542,849) = 460158 / 1

LCM(542,849) = 460158


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 3464/542, 3216/849

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 3464/542, 3216/849?

Answer: GCF of Numerators as per given numbers 3464/542, 3216/849 is

GCF of Numerators i.e. for 3464,3216 is 8

LCM of denominators i.e. for 542,849 is 460158.

Thus, GCF of Fractions is 8/460158.Finally, GCF of Fractions for 3464/542, 3216/849 is 8/460158.