Greatest Common Factor of 3482/805, 6552/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3482/805, 6552/296

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 3482/805,6552/296

Given fractions are 3482/805,6552/296

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 3482,6552

Greatest Common Factor of Numerators i.e. GCF of 3482,6552 is 2 .

LCM of Denominators means LCM of 805,296 as per the given fractions.

LCM of 805,296 is 238280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3482,6552

GCF of Fractions 3482/805,6552/296 is 2/238280

2 3482, 6552
1741, 3276

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

Greatest Common Factor of 3482,6552 By Matching Biggest Common Factor Method

Greatest Common Factor of 3482,6552 By Matching Biggest Common Factor Method

Factors of 3482

List of positive integer factors of 3482 that divides 3482 without a remainder.

1,2,1741,3482

Factors of 6552

List of positive integer factors of 6552 that divides 6552 without a remainder.

1,2,3,4,6,7,8,9,12,13,14,18,21,24,26,28,36,39,42,52,56,63,72,78,84,91,104,117,126,156,168,182,234,252,273,312,364,468,504,546,728,819,936,1092,1638,2184,3276,6552

Greatest Common Factor

We found the factors 3482,6552 . The biggest common factor number is the GCF number.
So the greatest common factor 3482,6552 is 2.

Lets's calculate LCM of 805,296

Given numbers has no common factors except 1. So, there LCM is their product i.e 238280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/238280

Therefore, the GCF of Fractions 3482/805,6552/296 is 2/238280

Least Common Multiple of 805,296 with GCF Formula

Least Common Multiple of 805,296 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 805,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,296) = 1

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

GCF(805,296) x common factors =1 x 1 = 1

LCM(805,296) = ( 805 × 296 ) / 1

LCM(805,296) = 238280 / 1

LCM(805,296) = 238280


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 3482/805, 6552/296

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 3482/805, 6552/296?

Answer: GCF of Numerators as per given numbers 3482/805, 6552/296 is

GCF of Numerators i.e. for 3482,6552 is 2

LCM of denominators i.e. for 805,296 is 238280.

Thus, GCF of Fractions is 2/238280.Finally, GCF of Fractions for 3482/805, 6552/296 is 2/238280.